पाठ -छ सिभिल बि.ई र डिप्लाेेेमा तहमा;wikipedia inbox
if, any more query facebook massesanger or email. This civil engineering part is available from NPI lecture PREM ADHIKARI NEC no 17717.Airport planning Airport planning
See-थिन वालेट भेसल ,टु हय्ङग्ड एपाटर्स, थ्रि हेङग एपारेटर, स्टक्चर ,भिस्काेमिटर ,रिनाउण्ड एपाटर्स ,सफ्टर्न फाेव ,जेट ईम्प्यक्ट ,बिटुमिन टेष्ट ,जेट इमेप्यक्टर ,मार्सल स्टेविटि,पाेर्टल अपरेशन,टर अपरेटर
if, any more query facebook massesanger or email. This civil engineering part is available from NPI lecture PREM ADHIKARI NEC no 17717.Airport planning Airport planning
Practical subject 3 yr Diploma
Programme: civil
Yr 1st
Sem 1st ,
Civil I/I
|
Engg.
Drawing
|
40
|
16
|
Physics
|
10
|
4
|
|
Workshop Practice -I
|
80
|
32
|
|
Chemistry
|
10
|
4
|
sem 2nd
Civil I/II
|
Engg. Drawing
|
40
|
16
|
Physics
|
10
|
4
|
|
Chemistry
|
10
|
4
|
|
Computer Application
|
20
|
8
|
|
Workshop Practice -II
|
80
|
32
|
Yr 2nd
Sem 3rd
Program
|
Subjects
|
F.M.
|
P.M.
|
Construction
Drawing
|
40
|
16
|
|
Surveying I
|
40
|
16
|
|
CAD
|
20
|
8
|
|
Building Construction
|
20
|
8
|
sem 4th
Civil II/II
|
Surveying II
|
40
|
16
|
Estimating & Costing
|
40
|
16
|
Yr 3rd
Sem 5th
Civil III/I
|
Structural Design and Drawing
|
20
|
8
|
Estimating and Costing II
|
40
|
16
|
|
Surveying II
|
20
|
8
|
|
Minor Project(Survey Camp)
|
40
|
16
|
sem 6th
Civil III / II
|
Irrigation and Drainage eng.
|
20
|
8
|
Estimating and Costing III
|
20
|
8
|
|
Elective
|
20
|
8
|
|
Entrepreneurship
|
10
|
4
|
|
Major Project
|
80
|
32
|
See-थिन वालेट भेसल ,टु हय्ङग्ड एपाटर्स, थ्रि हेङग एपारेटर, स्टक्चर ,भिस्काेमिटर ,रिनाउण्ड एपाटर्स ,सफ्टर्न फाेव ,जेट ईम्प्यक्ट ,बिटुमिन टेष्ट ,जेट इमेप्यक्टर ,मार्सल स्टेविटि,पाेर्टल अपरेशन,टर अपरेटर
,पर्माबिलिटप टेष्ट
1.Structure
2. TWO HINGED
ARCH APPARATUS( INSTRUCTION MANUAL)
OBJECTIVE:- “MARS” Made to
determine the horizontal
displacement in two hinged apparatus.
APPARATUS:-
1.
1 Digital Dial gauge ( 0-25)mm
2.
9 Hanger
3.
Weight 10N × 3 5N × 8, 2N × 4, 2.5N × 2,
4.
span of 1000mm and rise 250mm
5.
stand dimension( height = 900mm , length = 1280mm)
THEORY:
The two hinged arch is
a statically indeterminate structure of the first degree. The horizontal thrust
is the redundant reaction and is obtained y the use of strain energy methods.
ffig a
|
Fig.
(b)
|
Two hinged arch is made
determinate by treating it as a simply supported curved beam and horizontal
thrust as a redundant reaction. The arch spreads out under external load as
shown in fig. (a). This results in a horizontal displacement of support B by D1. Here, deflection due to flexure only has been
considered. Since the support conditions dictate that that the final
displacement at support B should be zero, horizontal reaction H should be such
that displacement D2
caused by H must satisfy the condition.
Where, f is the
displacement caused by a unit force applied in the direction of H. (1)
Therefore, it is
required to calculate the horizontal displacement in arch caused by external
load as well as unit horizontal force.
The horizontal
displacement in a curved member can be found by either Castiglano's second
theorem or the unit load method.
Where, M = Bending
moment on any point on the arch due to given loading.
m = moment on any point on the arch due to a
unit horizontal force applied at B in the direction of H.
The expression given by
Eq. (2) will become simpler provided the curve of the arch axis is parabolic
and moment of inertial of curve at any section varies as I= I0 secq where q is angle between the horizontal and
tangent to the arch axis at that particular point.
I0 = moment of inertia at the
crown
I = moment of inertia at
any other section
m = y, ds = secq dx
it may be noted that
the integration is to be carried out from 0 to L then Eq. (2) will become
and D1 = horizontal displacement
For a concentrated load
W at the crown it is found that
Horizontal displacement
(4)
Where, L is the span of
the arch in mm and r is the rise in mm.
The horizontal movement
of the roller end can be found by this method for any position of the load on
the arch. E = 210000N/mm2 I0 is the planar moment of inertial = bt3/12 where
b is the width of span and t is thicknesss of span.
The ordinate for the
influence line diagram for H at any distance z = aL form L.H.S. can be obtained
as follows:
Now H can be evaluated using Eq. (3)
Now substituting z = aL
We have
Taking W=1kg
\ Influence line ordinate are given by...
PROCEDURE:-
PROCEDURE:-
1: Fix
the dial gauge to measure the movement of the roller end of the model and keep
the lever out of contact.
2: Place a load of 0.5kg on
the central hanger of the arch to remove any slackness and taking this as the
initial position, set the reading on the dial gauge to zero.
3: Now
add 1kg weights to the hanger and tabulated the horizontal movement of the
roller end with increase in the load in steps of 1kg. Take the reading up to
5kg load. Dial gauge reading should be noted at the time of unloading also.
4: Plot
a graph between the load and displacement (theoretical and experimental)
compare. Theoretical values should be computed by Eq. (4).
5
for infulance of line:-
6 now move the lever in contact with
200 gm load. And place the 1kg .5 kg load at the
Centre. For removing any slackness
in the wire.set the initial reading of dial gauge to
Zero.
7 place the 2.5 kg load on to the
centrel hanger and observe the dial gauge reading.
8 restore the dial gauge reaing to zero
by adding load to the lever hanger.
Required load to restore dial gauge reading to zero is
equal to = 4w/5 , w is the load
Applied at the centre. As shown in
fig.below.
1 2
3 4
Central hanger
( applying weight = 2.5kg
Lever
Required weight to zero
the dial gauge = 4w/5
W = apply weight at central hanger
Similarly for 3rd
position( when applied weight = 2.5kg)
Required weight to zero dial gauge reading at lever = 3w/5
Similarly for 2rd
position( when applied weight = 2.5kg)
Required weight to zero dial gauge reading at lever = 2w/5
Similarly for 1rd
position( when applied weight = 2.5kg)
Required weight to zero dial gauge reading at lever = 1w/5
9 This experiment is
perform for any other loads applied at different position.
OBSERVATION DATA SHEET:
Table-1
Horizontal displacement
Sl. No.
|
Central
load (kg)
|
0.0
|
0.5
|
1.0
|
1.5
|
2.0
|
2.5
|
3.0
|
Observed horizontal displacement
(mm)
|
||||||||
Calculated horizontal displacement
Eq.(4)
|
FORMULA:-
Horizontal displacement
(4)
Where, L is the span of
the arch =900mm
r is the rise = 250mm.
The horizontal movement
of the roller end can be found by this method for any position of the load on
the arch.
W is the applied weigth
in N ( 100gm = 1N)
E = 210000N/mm2
is young modulus of elasticity.
I0 is the
planar moment of inertial = bt3/12
where b is the width of
span = 40mm
t is thickness of span.
= 10mm
FOR EXAMPLE:-
let 1kg weight is the applied into the central hanger,
so that
w= 10 N
L is the span of arch =
900mm
r is the rise = 250mm
E= 210000 N/mm2
I0 = planar
moment of inertia.= bt3/12
Where b = 40mm
t
= 10mm
12
= 3333mm4
Horizontal displacement
=
5 × 10 ×9002
× 250
48 × 210000 ×
3333
=
.30mm
RESULTS AND DISCUSSIONS:
Compare the horizontal displacement results.( obtained theoretically and experimentally.)PRECAUTIONS:
1
Apply
the loads without jerk.
2 Perform the
experiment away from vibration and other disturbances.
3. THREE HINGED ARCH APPARATUS (INSTRUCTION MANUAL)
OBJECTIVE:- “MARS” Made to
determine the horizontal displacement in three hinged apparatus.
APPARATUS:-
6.
1 Digital Dial gauge
7.
8 Hangers.
8.
Weight Set different type.
9.
Span of 900mm and rise 210mm.
1.0 THEORY:
A three hinged arch is
a statically determinate structure with the axial thrust assisting in
maintaining the stability. The horizontal thrust H in the arch for a number of
loads can be obtained as follows:
W1
|
W2
|
W3
|
H
|
A
|
H
|
B
|
a1
|
a2
|
a3
|
L
|
r
|
C
|
Taking moment about A
(1)
Taking moment about B
Taking the moment of
all the forces on left hand side about C, we get
The value of horizontal
reaction can be evaluated by Eq. (1).
2.0 OBJECTIVE:
(1)
To determine the
horizontal thrust in a three hinged arch for a given system of loads
experimentally and verify the same with calculated values.
3.0
APPARATUS:
The model has a span
of 900mm and rise 210mm, with hinges at supports and crown. One of the end
rests on rollers. Along the horizontal span of the arch various points are
marked at equidistant for the application of load. A dial gauge with magnetic
base is supplied with the apparatus.
4.0
SUGGESTED EXPERIMENTAL WORK:
Step 1: Use lubricating oil at the roller end of
the arch so as to have a free movement of the roller end..
Step 2: Apply the
weight on to the lever hanger to obtain the proper unbalancing position.
apply weight at
position a1,a2,a3 for initial position of 3hinged arc.
Step 3: Place a few loads on the arch in chosen
positions.put the weight in small steps in order of 100gm, now note down the w1
,w2 and w3 weight value where arc in balance or reach initial position.
Step 4: Put the value
of distance a1,a2 a3 and respectively value of weight and find horizontal force
for it. Compare theoretical value to experimental value and also find % error.
RESULTS AND DISCUSSIONS:
1.
Find the
horizontal thrust for a given set of load experimentally and theoretically..
2.
Plot the observed
and calculated values of influence line ordinates on the same graph and comment
on the accuracy obtained in the two cases.
5.0
SAMPLE DATA SHEET:
Span of the arch, L = 900mm
Central
rise, h =
Initial load on the
thrust hanger for balancing, kg =
Table-1
Sl. No.
|
Load on
hanger member from roller end
|
Total load
on thrust hanger
(kg)
|
Distance
from left hand support
(cm)
|
Calculated
value of H (kg
|
||
Set No.
|
Load (kg)
|
|||||
Set I
|
W1
W2
W3
|
a1 =225mm
a2 =337.5mm
a3
=562.5mm
|
6.0
PRECAUTIONS:
· Put
the weights in thrust hanger very gently without a jerk.
·
Measure the
distance of loaded points from left hand support accurately.
·
Perform the
experiment away from vibration and other disturbances.
Sample result-
In three
hinged apparatus total L= 900mm
Ist position =112.5
2nd position =225
3rd position =337.5
4th position
=450
5th position = 562.5
6th position = 675
7th position =787.5
Hanger position where
bridge is gone upward direction
3.500kg
W1=1.3kg
W2=1.3kg
W3=1.3kg
Rb= 1.3X225+ 1.3X337.5+ 1.3X562.5 / 900
=292.5+438.75+731.25
=1462.5/900 =
1.625kg
=
1/180( 1.625*900/2 - 1.3( 562.5-450) )
= 0.00555(731.25 – 146.25)
= 3.24KG
Note -percentage error
from 10-20%
4. BUCKLING
When a structure (subjected usually to compression) undergoes
visibly large displacements transverse to the load then it is said to
buckle. Buckling may be demonstrated by pressing
the opposite edges of a flat sheet of cardboard towards one another. For small
loads the process is elastic since buckling displacements disappear when the
load is removed.
Local buckling of plates or shells is indicated by the growth of bulges, waves or ripples, and is commonly encountered in the component plates of thin structural members.
Local buckling of plates or shells is indicated by the growth of bulges, waves or ripples, and is commonly encountered in the component plates of thin structural members.
Buckling
proceeds in manner which may be either:
stable -
|
in which case displacements increase in a controlled fashion as
loads are increased, ie. the structure's ability to sustain loads is
maintained, or
|
|
unstable -
|
in which case deformations increase instantaneously, the load
carrying capacity nose- dives and the structure collapses catastrophically.
|
Neutral
equilibrium is also a theoretical possibility during buckling - this is
characterized by deformation increase without change in load.
Buckling and bending are similar in that they both involve bending moments. In bending these moments are substantially independent of the resulting deflections, whereas in buckling the moments and deflections are mutually inter-dependent - so moments, deflections and stresses are not proportional to loads.
If buckling deflections become too large then the structure fails - this is a geometric consideration, completely divorced from any material strength consideration. If a component or part thereof is prone to buckling then its design must satisfy both strength and buckling safety constraints - that is why we now examine the subject of buckling.
Buckling has become more of a problem in recent years since the use of high strength material requires less material for load support - structures and components have become generally slenderer and buckle- prone. This trend has continued throughout technological history, as is demonstrated by bridges in the following sequence :
Buckling and bending are similar in that they both involve bending moments. In bending these moments are substantially independent of the resulting deflections, whereas in buckling the moments and deflections are mutually inter-dependent - so moments, deflections and stresses are not proportional to loads.
If buckling deflections become too large then the structure fails - this is a geometric consideration, completely divorced from any material strength consideration. If a component or part thereof is prone to buckling then its design must satisfy both strength and buckling safety constraints - that is why we now examine the subject of buckling.
Buckling has become more of a problem in recent years since the use of high strength material requires less material for load support - structures and components have become generally slenderer and buckle- prone. This trend has continued throughout technological history, as is demonstrated by bridges in the following sequence :
The dangers associated with over-slender build were tragically
driven home by the collapse of the Tacoma Narrows road bridge over the Puget
Sound in 1940. Although this failure was apparently due to wind- structure
aerodynamic coupling rather than buckling as such, this film clip
demonstrates graphically the ability of large structures to undergo
significant elastic deflections. ( MoviePlayer or similar is required to view
this .mov video ) (
source CamGuys.com )
|
A thin-walled structure is made from a material whose thickness is
much less than other structural dimensions. Into this category fall plate
assemblies, common hot- and cold- formed structural sections, tubes and
cylinders, and many bridges and
aeroplanestructures.
Cold- formed sections such as those illustrated are increasingly supplanting traditional hot- rolled I-beams and channels. They are particularly prone to buckling and in general must be designed against several different types of buckling.
It is not difficult to visualise what can happen if a beam is made from such a cold- rolled channel section. One flange is in substantial compression and may therefore buckle locally at a low stress ( ie. much less than yield ) thus reducing the load capacity of the beam as a whole. Buckling rather than strength considerations thus dictate the beam's performance.
Cold- formed sections such as those illustrated are increasingly supplanting traditional hot- rolled I-beams and channels. They are particularly prone to buckling and in general must be designed against several different types of buckling.
It is not difficult to visualise what can happen if a beam is made from such a cold- rolled channel section. One flange is in substantial compression and may therefore buckle locally at a low stress ( ie. much less than yield ) thus reducing the load capacity of the beam as a whole. Buckling rather than strength considerations thus dictate the beam's performance.
Let us
now look at typical examples of buckling.
The slender elastic pin-ended column is the protoype for most buckling studies. It was examined first by Euler in the 18th century. The model assumes perfection - the column is perfectly straight prior to loading, and the load when applied is perfectly coaxial with the column.
The slender elastic pin-ended column is the protoype for most buckling studies. It was examined first by Euler in the 18th century. The model assumes perfection - the column is perfectly straight prior to loading, and the load when applied is perfectly coaxial with the column.
The
behaviour of a buckling system is reflected in the shape of its load-
displacement curve - referred to as the equilibrium
path. The lateral or 'out-of-plane' displacement, δ, is
preferred to the load displacement, q, in this context since it is more
descriptive of buckling.
Nothing
is visible when the load on a perfect column first increases from zero - the
column is stable, there is no buckling, and no out- of- plane displacement. The
P-δ equilibrium path is thus characterised by a vertical segment - the
primary path - which lasts until the increasing load
reaches the critical Euler load
Pc = π2 EImin/L2
a constant characteristic of the column ( for a derivation of
this, see below or Timoshenko & Gere op cit. for example ).
When the
load reaches the Euler load, buckling suddenly takes place without any further
load increase, and lateral deflections δ grow instanteously in either
equally probable direction. After buckling therefore, the equilibrium path
bifurcates into two symmetric secondary paths as
illustrated. Clearly the critical Euler load limits the column's safe load
capacity.
Since the
displacements are uncontrolled in most practical systems, shells behave in a
snap- buckling mode - ie. as an increasing load reaches the bifurcation point,
the cylinder
must undergo an instantaneous increase in deflection (
"snap" ) to the point 1 in order to accomodate
the increasing load. A subsequent decrease in load is accomodated by a
corresponding decrease in buckling deflection until the point 2 is
reached whereupon the structure again snaps instantaneously - this time back to
the point 3 on the primary path.
Clearly this behaviour makes it imperative in design to apply large safety factors to the theoretical buckling loads of compressed cylinders.
Clearly this behaviour makes it imperative in design to apply large safety factors to the theoretical buckling loads of compressed cylinders.
It has been noted that a pressure vessel head is
subjected to a compressive hoop stress at
its junction with the cylinder.
The two photographs here (from Ramm op cit) show
both inward and outward buckles arising from this compression in the
torispherical heads of internally pressurised 3 m diameter stainless steel
vessels.
|
Longitudinal stresses in a vertical cylinder may also promote
buckling as these two photographs illustrate (from Rhodes & Walker op cit).
Warning of impending failure of the 7.3 m diameter vitreous enamelled silo on the left is provided by the visible buckles. Grain pours out of the buckled bin on the right - the ladder gives an idea of the bin size. |
Torsional buckling of columns can arise
when a section under compression is very weak in torsion, and leads to the
column rotating about the force axis.
More
commonly, where the section does not possess two axes of symmetry as in the
case of an angle section, this rotation is accompanied by bending and is known
as flexural torsional buckling.
Lateral buckling of beams is possible when a beam is stiff in the bending plane but weak in the transverse plane and in torsion, as is the I-beam of the sketch.
Lateral buckling of beams is possible when a beam is stiff in the bending plane but weak in the transverse plane and in torsion, as is the I-beam of the sketch.
It often
happens that a system is prone to buckling in various modes. These usually
interact to reduce the load capacity of the system compared to that under
the buckling modes individually. An example of mode interaction is
the thin box section which develops local buckles at an early stage of loading,
as shown greatly exaggerated here.
The behaviour of the column is influenced by these local buckles, and gross column buckle will occur at a load much less than the ideal Euler load. The Steel Structures Code, AS 1250 op cit. sets out rules for the avoidance of mode interaction in large components, and its guidelines should be followed in design.
The behaviour of the column is influenced by these local buckles, and gross column buckle will occur at a load much less than the ideal Euler load. The Steel Structures Code, AS 1250 op cit. sets out rules for the avoidance of mode interaction in large components, and its guidelines should be followed in design.
Buckling has mixed blessings in automotive applications.
The photograph on the left illustrates how local buckling of a car's thin-walled A-pillar dramatically reduces passenger cell integrity in the event of roll-over. Conversely, the energy absorbed by plastic buckling can reduce significantly the injuries suffered by a vehicle's occupants in the event of a crash. The energy absorption capability of thin- walled sections is demonstrated clearly by the experiment photographed on the right. (from Murray op cit) |
The detailed analysis of most practical buckle-prone structures is too complex mathematically to attempt here. We therefore examine instead some mechanisms which demonstrate (un)stable behaviour similar to that of structures. The mechanisms allow us to appreciate buckling behaviour and the tools used to analyse it, and to introduce the concept of imperfections which must occur in practical components and which have a relatively large effect on buckling behaviour and safety.
This work leads to the derivation of a design equation for practical columns, in which the twin failure modes of strength and geometric instability invariably interact. This interaction is apparent also in the behaviour of cracks - the subject of a later chapter.
Prediction of the plastic collapse of sub-sea pipelines is also addressed.
7.applied
mechaniesअप्लाईड मेकानिक्स
Principle of transmissibility and equivalent forces
Principle
of transmissibility states that “The condition of equilibrium or motion of a
rigid body will not be affected by transmitting a force (F) along its line of
action”.
In
above figure, the force F and F’ are equivalent forces. (Newton mechanics)
We
observe that the line of action of force F is horizontal line passing through
the front and rear bumper of the truck. Using the principle of
transmissibility, we can therefore replace F by equivalent force F’ acting on
the rear bumper. In other words, conditions of motion are unchanged and all the
other external forces acting on a truck (W, R1, R2)
remain unchanged if the people push on the rear bumper instead of pulling on
the front bumper.
Moving
the point of the force F to the rear bumper does not affect the motion of the
other forces acting on the truck.
In
general, “the condition of equilibrium or of motion of a rigid body will remain
unchanged if a force F acting at a
given point if the rigid body replaced by a force F’, of the same magnitude and direction, but acting at a different
point, provided that the two forces have the same line of action” as shown in
above figure.
Varignon’s theorem
Statement: - “The moment about a given point O of the
resultant of several
concurrent
forces is equal to the sum of the moments of the various
forces about the same point O.”
It is also known as the distributed property of
vector product
Illustration
Considering
a force
and its moment
about O. Let F be resolved into a number of forces,
F1, F2, F3,
---------- Fn, etc.
with position vectors r1, r2,
r3, ------ rn,
Therefore,
individual moments will be r1×F1,
r2×F2, r3×F3 ------ rn×Fn
Now,
in vector form,
=
1 +
2 +
3 ---------------------------- +
n )
=
1
×
1 +
2
×
2 +
3
×
3 +-----------------+
n×
n
This property, which was
originallyestablished by the French mathematician Varignon (1654–1722) long before
the introduction of vector algebra, is known as Varignon’stheorem. The above
relation makes it possible to replace the direct determinationof the moment of
a force F by the determination of the moments of two or more component
forces. As you will see in the next section, F will generally be resolved
into components parallel to the coordinate axes. However, it may be more
expeditious in some instances to resolve F into components which are not
parallel to the coordinate axes.
8. STUDY OF ORIFICEMETER AND VENTURIMETER FOR DISCHARGE MEASUREMENT
OBJECTIVE- Iभेन्चुराेमिटर
To
Study the Cd (coefficient of discharge )of venturimeter & orificemeter.
THEORY
An
orificemeter consists of a flat circular plate with a hole called an
orifice,which may be circular or a sector of a circle ,but generally it is
circular and is concentric with the pipe axis.
By
applying the bernoulli’s equations between section 1 and 2 and using the continuity
equation,the discharge Q through the orificemeter is given by the following
expression:
Where
A is the area of the pipe ,A is the cross- sectional area of the orifice .∆h is
known as the differential head or simply the head loss,Cd is the coefficient
and is given by the expression.
For
the mercury –water column manometer ,the value of the differential head (∆h)is
given by the expression.
∆h=12.6X∆x equ-(iii)
Where ∆x is the difference of mercury levels
in the manometer.
EXPERIMENTAL SET-UP
The
Set-up consists of an orifice meter fitted in the same horizontal
pipeline.Water is supplied to the orifice through an inlet valve provided in
the supply pipeline connected to a constant overhead water tank .A regulating
valve is provided at the exit to
regulate discharge through the orifice meter. The difference of pressure
between the inlet and throat section is measured by a U-tube differential
manometer containing mercury as manometer liquid.
PROCEDURE
1. Open the pressure tappings of the
orifice meter and close the valve of venturimeter
2. Attach the manometer tube with
orifice meter for pressure measurement. Remove air in the manometer.
3. Open the inlet valve fully and wait
for sometimes so that flow becomes steady.
4. Note the difference of the levels
in the manometer.
5. Measure the discharge, in the
discharge measurement tank.
6. Repeat steps (4) and (5) for
difference discharges by regulating the flow with the help of an exit valve.
7. Above steps 2-6 is same for
experiment of venturimeter, after opening the valve of venturimeter and closing
the valve of orificemeter.
8. Note the temperature of water used
in the experiment.
OBSERVATIONS AND
CALCULATIONS FOR ORIFICE-
Diameter
of the main pipe,D = 26mm
Diameter
of an orifce ,d
= 13mm
Area
of pipe ,A =
Area
of an orifice ,A
=
Temperature
of water ,Tc =
Kinematic
viscosity of water at Tc , V =
OBSERVATIONS AND
CALCULATIONS FOR VENTURIMETER-
Diameter
of the main pipe,D = 26mm
Diameter
of an venturimeter ,d = 13mm
Area
of pipe ,A =
Area
of an orifice ,A =
Temperature
of water ,Tc =
Kinematic
viscosity of water at Tc , V =
DISCUSSION
Diameter
at an inlet section,D1
=
Diameter
at the throat section,D2 =
Plan
Area of the measuring tank,Am =
Temperature
of water ,Tc
=
Kinematic
viscosity of water at Tc , V =
Operating Instructions
|
9.INSTRUCTION MANUALFOR BITUMEN EXTRACTOR
INTRODUCTION: The Centrifuge Extractor is used
for the quantitative determination of bitumen in hot mixed paving mixtures and
pavement samples. The bitumen content is calculated by difference from the
weight of the extracted aggregate, moisture content and ash from an aliquot
part of the extract.
DESCRIPTION: The centrifuge
extractor consists of a revolving bowl inside a housing (5). The bowl is
provided with a cover plate and it is secured in position by tightening a nut.
The bowl housing (5) is
provided with an outlet (4). The housing is mounted on an enclosed gear box
(1). A cover plate (2) is clamped to the housing.
The gears are flash
lubricated and the system is operated manually with a detachable handle (3).
SPECIMEN PREPARATION: To separate
with a spatula or trowel, place it in a large, flat pan and warm to 240oF,
only until it can be handled. Separate the particles of the mixture as
uniformly as possible using are not to fracture the mineral particles. Normally
1000 g samples are used for extraction. For routine testing smaller samples may
be used when the maximum size aggregate therein is less than ¼ in. the
precision f the method becomes less as the aggregate size increases due to
variation in samples. This procedure may be used on mixtures containing
aggregate larger than 1 in by using samples weighing at least 3000 g. They may
be tested by extracting 1000 g at a time.
TEST PROCEDURE: Determine the
moisture content of the sample using a standard procedure.
Weigh a 1000 g sample
into the bowl. Cover the sample in the bowl with benzene or trichloroethylene
and allow sufficient time for the solvent to disintegrate the sample (Not over
one hour).
Place the bowl
containing the sample and the solvent inside the housing. Dry and weigh filter
disc and fit, it around the edge of the bowl. Clamp the cover plate tightly on
the bowl. If necessary the tommy pin may be a used for loosening the nut for
removing the cover plate. Position the housing cover and clamp it to the
housing. Place a beaker under the outlet (4).
Start the centrifuge
revolving slowly and gradually increase the speed until the solvent ceases to
flow from the outlet. Allow the centrifuge to stop, add 200 ml of
trichloroethylene of benzene and repeat the procedure. Use sufficient 200 ml
solvent additions (not less than three) so that the extract is clear and not
darker than a light straw color. Collect the extract and washings in a suitable
graduated vessel.
Remove the filter disc
from the bowl and dry in air. Remove the as much of the mineral matter adhering
to the disc as possible and add to the aggregate in the bowl. Dry the disc to
constant weight in an oven at 210 to 220F. Dry the contents of the bowl on a
steam bath and then to constant weight in an oven at 210 to 220 F.
Record the volume of
the total extract in the graduated vessel. Agitate the extract thoroughly and
immediately measure approximately 100 ml into a previously weighed ignition
disc. Evaporate to dryness on a steam bath. Ash residue at a dull red heat.
(500 to 600 C). Cool and add 5 ml of saturated ammonium carbonate (NH)2 Co3 solution
per gram of ash. Digest at room temperature for one hour. Dry in an oven at 100
C to constant weight, cool in desiccator, and weight.
Calculate the weight of
ash in the total volume of extract.
Total ash, g = G (V1 )
V1-V2
Where
G = ash in aliquot in
grams.
V1 = total volume in
milliliters
V2 = volume after
removing aliquot in milliliters.
Calculate the
percentage of bitumen in the sample. Bitumen content of dry sample, percent.
= (W1 –
W2) - (W3 + W4) _ X 100
W1 – W2
Where
W1 = Weight of sample
W2 = Weight of water in
sample,
W3 = Weight of
extracted mineral matter
W4 = Weight of ash in
extract.
Add the increase in
weight of filter disc to the weight of the recovered aggregate and the ash in
the recovered bitumen.
MAINTENANCE:
Keep all parts clean.
10.BITUMEN EXTRACTOR
HAND OPERATED
TRODUCTION:
The apparatus meats the essential requirements of ASTM S-2172 – 72 for
the determination of percentage of bitumen in having mixtures by cold solvent
and centrifugal force method.
DESCRIPTION:
The apparatus consists consists of a bowl with cover fitted on a shaft
and enclose in housing with removable cover. The cover (1) can be clamped to
the housing with clamp (3) and has lifting handles (2) the drain nipple (4) is
attached to the housing and helps to drain out the extracted solution. The
rotor in driven by handle (6) by rotating it clock vise. The hand brake (5) is
provided to stop the bowl.
SPECIMEN PREPARATION:
If the mixture is not sufficiently soft to separate with a spatula or
trowel, place it in a large flat pan and warm to 240oF only until it
can be handled. Separate the particular of the mixture as uniform ally as
possible taking care not to fracture the mineral particles. Normally 1000gms
sample are used for extraction. For routine testing, smaller sample may be used
when the maximum size of aggregate therein is less than 26mm. this procedure
may be used on mixture containing aggregate larger than 25mm by using samples
at least 3000gms. They may be tested by extraction of 1000gms at a time.
TEST PROCEDURE:
Determine the moisture contents of the sample using a standard procedure.
Weight a 1000gms sample into the bowl. Cover the sample in the bowl with
benzene or trichloroethylene and allow sufficient time for the sample to
disintegrate the sample (Not more than one hour) place the bowl containing the
sample and the solvent inside the housing fitting it over the shaft. Dry and
weigh the filter paper disc and fit around the edge of the bowl and position
the housing cover clamping it to the housing. Place a beaker under the outlet
drain on the side of housing.
Rotate the bowl with the help of (6) and gradually increase the speed of
the bowl until the solvent ceases to flow the nipple (4). Then stop the bowl by
pulling brake (5). Add 200ml of benzene and repeat the procedure. Use
sufficient 200ml solvent additions (Not less than three) so that the extract is
clear or not dark than a light straw color.
Remove the filter disc from the bowl and dry in air. Remove as much
mineral matter adhering to the disc as possible and add to the aggregate in the
bowl. Dry the disc to constant weight in an oven at 210oF. Dry the
contents of the bowl on a steam bath and than constant weight in an oven at 210o
to 220oF. Record the volume of the total extract in the graduate
cylinder. Agitate the extract thoroughly and immediately measure approximately
100ml into a previously weight ignition disc. Evaporate to dryness on a steam
bath. Ash the residue at a dull red heat (500o to 600oc),
cool and add 5 ml of saturated ammonium carbonate solution per gram of ash.
Digest at room temperature for one hour. Dry in an oven 1000c to
constant weight. Cool in a desiccators and weight.
Calculate the weight of ash in the total volume of extract.
Total ASH: -G – V1
Vi – V2
Where G: - ash in aliquot in
games.
Vl: - Total volume in
ml
V2:- Volume after
removing aliquot in milliliters
Calculate the percentage of bitumen in the sample as below:-
% :- (Wl-W2) – (W3-W4) X 100
W1-W2
Where W1 Weight of sample
W2 Weight of water in sample
W3 Weight of extracted mineral matter
W4 Weight of ASH in extract.
Add the increase in weight of filter disc to the weight of the recovered
aggregate and the ash in the recovered bitumen.
MAINTENANCE:
Keep the apparatus clean.
Grease the bearing of the shaft occasionally.
11.RAPID MOISTURE METER
CAUTION: The absorbent with
the outfit is highly susceptible to absorbent of moisture and so must not be
exposed to atmosphere. Replace the lid firmly as soon as the required amount of
the absorbent for a test is taken from the bottle. The absorbent suffer
deterioration with the result that the instrument will always give lower
results. Please ensure that the lid is screwed firmly after use.
OPERATING INSTRUCTIONS: With this
portable unit, the moisture contents of soils, sand and other materials can be
determined in a few minutes. It can also be used to determine the moisture
content of various types of pastes powders and mixes.
The instrument operates
on the principle of a reagent being introduced to the free moisture in the
sample. This forms a gas, the amount being dependent upon the amount of free
moisture in contact with the reagent. By confirming the resultant gas in sealed
chamber it is possible to measure the created gas pressure. The gauge in the
instrument is calibrated to interpret this pressure as the percentage of
moisture in the sample on the wet weight basis.
The Rapid Moisture
Meter consists of an aluminum body fitted with a gauge at one end and a sealing
at the other end held to the body by a u-clamp and a clamp screw with an ‘o’
ring between the body and the cup. The cup can be removed from the body by just
unscrewing the clamping screw and by swinging the u-clamp to the side. The
gauge is calibrated in percentage of moisture content on the wet weight basis
and a balance id mounted on a base which is fixed in the carrying case and
swivels into position when required, when the catch to the left of it is moved
back. And the base is rotated about the swivel pins. When the balance base is
thus set horizontal the same catch engages to keep it in that position.
The balance arm is
prc-loaded to indicate level when the correct weight (5 Gms) sample is placed
in the pan. The arm sticrup and the pan are all detachable and are camped
separately inside the carrying case. A scoop one bottle containing absorbent
are also supplied. The whole unit with the accessories is packed in a wooden
carrying case.
Keep the box on a firm
level base. Open the carrying case. Move the balance base catch back and rotate
the base into horizontal position. Detach the balance arm stirrup and pan from
the spring clips holding them and assemble.
The balance arm knife
supports have two side covers which can be rotated into position after placing
the knife edges in their support hearings.
SAMPLE PREPARATION: Fine powders
and send coarse: No preparation grind or
Powders cohesive
soils. Pulverize. Run test as
Describe in note under
Test
procedure using dry
Pieces of 1” size gravel.
2
TEST PROCEDURE: Weight of samples.
Set up the balance as described above. Place sample in pan till the mark on the
balance arm are at same level.
Unclamp the clamping
screw of the instrument sufficiently to move the u-clamp off the cup. Life off
the cup. Check cup and body are clean, clean it properly. Hold the body
horizontal and gently one level scoopful of absorbent (calcium carbide) halfway
inside the chamber. Then lay the chamber down without disturbing the absorbent
charge. Transfer the soil weighed out as above from the pan to the cup.
Holding cup and chamber
approximately horizontal bring them together without disturbing sample or
absorbent, bring the u-clamp round and clamp the cup tightly in to plate.
NOTE: If the sample is bulky reverse
the above placements i.e. put the sample in the chamber and the absorbent in
the cup.
With gauge downwards
(except when the steel balls are used) shake the moisture meter up and down
vigorously for 5 seconds, then quickly turn it so that the gauge is upwards, give a tap to the body of the
moisture meter to ensure that all the contents fall into the cup. Hold the
rapid moisture meter in this position for one minute. Repeat this for the third
time. Once more ingest the R.M.M. and shake up and down to cool the gas. Turn
the R.M.M. with the gauge upwards and dial facing you at eye level. When the
needle comes to re take the reading.
NOTE:2: In the case of
clayey soils plaid 6 steel balls in the absorbent and the material in the cup
and seal up the unit as usual. Mix as follow. Hold the rapid moisture meter
vertical so that the material in the cup falls into the body. Now holding the
unit horizontal rotate it for 10 seconds so that the balls are rolled round the
inside circumference of the body. Rest for 20 seconds fall into the body. Now
holding the unit horizontal rotate it for 10 seconds so that the balls are
rolled round the inside circumference of the body. Rest 20 second. Repeat the
rotate-rest cycle unit the gauge reading is constant (usually this takes 4 to 8
minutes). Note the reading as usual.
NOTE:3: Where sticky or post
samples are to be tested quicker, results may be obtained if after weight the
sample, it is spread on a small piece of paper with a spatula and the test
conducted in the following manner.
Introduce the piece of
paper with the sample into the chamber. Place 8 to 10 sharp edged, dry pieces
of gravel of 1” size along with the sample. Take two scoopful of
absorbent in the cup and assemble 2 the
R.M.M. as above in test procedure. The remaining test procedure is the same as
in Note 2 of the test procedure.
In the case heavy, the
test results can be obtained by shaking the R.M.M. off and on for about 30
minutes.
Finally, release the
pressure slowly away from the opening the clamp screw and taking the cup out,
empty the contents and clean the instrument with brush etc. the readings
obtained on the R.M.M. are the percentage of moisture on the weight basis. To
calculate the percentage of moisture on the dry weight basis as in the
conversion in soil mechanicals, follow the calculations given below:-
Let the reading on the
R.M.M. for a particular sample be w%
Weight of dry material
in the sample
(100-w) %
The moisture content of
the sample on dry weight basis w
x 10%
100w
MAINTENANCE: Keep all the parts
clean always.
12.Torsionटाेरिजन
1)
A solid circular shaft and a hollow
circular shaft whose inside diameter is ¾ of the outside diameter, are of the
same materials, of equal length and are required to transmit a given torque T.
compare the weights of these two shafts if the maximum stresses developed in
the two shafts are equal. Ans: DH = 1.135 Ds, Ws=1.772WH
2)
A solid shaft transmits 250 kw at
100 rpm. If the shear stress is not to exceed 75 N/mm2. What should
be the diameter of the shaft? If this shaft is to be replaced by a hollow one
whose internal diameter = 0.6 times the outer diameter, determine the size and
percentage saving in weight, the maximum shearing stress being the same. Ans: d=117.473 mm, DH =123.036mm, dH = 73.882mm.
3)
A solid shaft 6.50m long is fixed
at each end. A torque if 91 Nm is applied to the shaft at a section 2.5m from
one end. Find the fixing torques set up at the end of the shaft. If the shaft
diameter is 35mm, find the maximum shear stresses in the two portions. Also
find the angle of twist for the section where the torque is applied. Take G=
8.4 * 104 N/mm2.
Ans: T1= 56Nm, T2=
35Nm, ᴓ= 0.01113 radian, τs1=6.65 N/mm2, τs2=
4.16 N/mm2.
4)
Two solid shaft AC and BC of
aluminium and steel are rigidly fastened together at C and attached to rigid
supports at A and B shaft AC is 75 mm in diameter and 2m in length. Shaft BC is
55mm in diameter and 1m in length. A torque of 200 Nm is applied at the
junction C. Compute the maximum shearing stresses in each material. What is the
angle of twist at junction? Take moduli of rigidity of materials as G for
aluminium = 3*104N/mm2, G for steel =3*104N/mm2.
Ans: τs1=0.88 N/mm2,
τs2= 3.89 N/mm2, ᴓ= 0.0015radian.
5)
For the shaft shown in fig,
determine the end fixing couples diameter of the shaft if the maximum shearing
stress is not to exceed 85 MN/mm2 and the position of the section
where the shaft suffers no angular twist. Ans: D = 93.8mm, x = 0.404m
6)
In a tensile test, a test piece
25mm in diameter, 200mm gauge length stretched 0.0975mm under a pull of 50 KN.
In a torsion test, the same rod twisted 0.025m radian over a length of 200mm,
when a torque of 400 Nm was applied. Evaluate the Poisson’s ratio and the three
elastic moduli for the material. Ans:
E= 2.089*105, G= 0.834*105 N/mm2. µ= 0.252, k=
1.404*105 N/mm2.
7)
A hollow shaft of diameter ration
3/8 is to transmit the 375kw power at 100 rpm. The maximum torque being 20%
greater than the mean, the shear stress is not to exceed 60 N/mm2
and the twist in a length of 4m is not to exceed 2 degree. Calculate its
external and internal diameter which would satisfy both the above conditions.
Take G= 8.5*104 N/mm2. Ans: T= 35810 Nm, when τs=60
N/mm2, D= 155mm & d= 58.11mm, when ᴓ= 2 °, D= 157mm & d=
59mm.
8)
A hollow shaft having internal
diameter 40% of its diameter, transmits 562.5 KW power at 100 rpm. Determine
the external diameter of the shaft if the shear stress is not to exceed 60 N/mm2
and the twist in length of 2.5 m should not exceed 1.3°. assume maximum torque
is equal to 1.25 times of mean torque and modulus of rigidity as 9*104
N/mm2. Ans: Tmax =
67143.5 mm, T= 53714 Nm, when τs=60
N/mm2, DH = 180.18mm, when ᴓ= 2 °, DH = 180mm.
9)
Shaft BC is hollow with inner and
outer diameter of 90 mm and 120 mm respectively. Shafts AB and CD are solid and
of diameter d. for the loading shown in
fig. Determine
a)
The maximum and minimum shearing stress
in shaft BC
b)
The required diameter d of shaft AB
and CD if the allowable shearing stress in these shafts is 65 MPa.
Ans: a) τmax= 86.2 MPa, τmin=
64.65 MPa & b) d= 77.8 mm.
10)
A brass tube of external diameter 80 mm and
internal diameter 50 mm is closely fitted to a steel rod of 50mm diameter to
form a composite shaft. If a torque of 6 KNm is to be resisted by this shaft,
find the maximum stress developed in each material and the angle of twist in 2m
length. Ans: (τs) max = 64.701 N/mm2,
(τb) max = 64.701 N/mm2, ᴓ= 0.0647 radian.
11)
A 30 mm diameter circular steel
shaft is provided with enlarged portions A and B as shown in fig. On to this
enlarged portion, a steel tube 2mm thick is shrunk. While the shrinkage process
is going on the 30 mm diameter shaft is held twisted by a couple of magnitude
80 Nm. When the tube is firmly set on the shaft, this twisting couple is
removed. Calculate what twisting couple is left on the shaft, the shaft and the
tube being made of the same material.
Ans: Ts= 60 Nm
12)
A stepped shaft is subjected to a
torque as shown in fig.Determine the angle of twist at the free end. Take G =
80 KN/mm2. Also find the maximum shear stress in any step.
Ans: (τs) AB = 17.25 N/mm2,
(τs) BC = 9.95 N/mm2& (τs) CD = 23.579
N/mm2
13)
A solid shaft of 200 mm diameter
has the same cross-sectional area as that of a hollow shaft of the same
material with inside diameter 150 mm. Find the ratio of power transmitted by the
two shafts at the same speed. Ans: PH/Ps= 1.7
14)
A solid circular shaft, 1.5m long
and 60 mm in diameter is subjected to a 7.20 kN-m torque at the free end.
Assuming that the shaft is made of an elasto-plastic material with yield
strength in shear of 150 MPa and a modulus of rigidity of 80 GPa, determine a)
the radius of the elastic core, b) the angle of twist of the shaft.
Ans: 25.28mm, 0.1115 radian
15)
A steel shaft and an aluminium tube are
connected to a fixed support and to a rigid disk as shown in the cross-section
in fig. Knowing that the initial stresses are zero, determine the maximum
torque To which may be applied to the disk if the allowable stresses
are 120 MPa in the steel shaft and 70 MPa in the aluminum tube. Take Gs= 80 GPa
for steel and GAl = 27 GPa for aluminum. Ans:
6.188 KN-m
13.Marshall Stability Apparatus
Operating Instruction For
Resistance in to plastic flow of
bituminous matured using
Marshall Stability Apparatus
1.
Scope: This method coves the measurement of the
resistance to plastic flow of
cylindrical specimens of bituminous paving mixture loaded on the lateral
surface by means of the Marshall apparatus. This method is for use with hot
mixture containing asphalt of tar and aggregate unit in maximum size.
2.
Apparatus
a)
Specimen Mould Assembly - Mould cylindrical 4 inch dia meter and 3
Inch in height base plates
and extension collar shall conform to the details. Three mould cylinders are
recommended.
b)
Specimen Extractor - A specimen extractor the compacted from the specimen mould is
recommended. A suitable bar is required to transfer load from the extension
collar to the upper proving ring attachment while extracting the specimen.
c)
Compaction Hammer - The Compaction Hammer shall have a flat, circular tamping face and a
10 Lb sliding weight with a free fall of 18 inch two compaction Hammer are a
recommended.
d)
The Compaction
pedestal shall consist of a wooden post capped with a 30 cm by 30cm by 25mm
(Aprox) in steel plate. The wooden post shall be oak, yellow pine, or other
wood having a dry. The wooden post shall be secured by four angle brackets to a
solid concrete stab. The steel cap shall be firmly fastened to the post. The
pedestal assembly shall be installed so that the post is plumb and cap is
level.
e)
Specimen Holder - The specimen mould holder shall consist of a semicircular base and
circular ring to hold the specimen mould in place during compaction of the
specimen the top section shall be flanged to fit over the collar of the
specimen mould and shall be attached to the base by means of a fulcrum on one
side. Holder shall be provided in the base for mounting on the compaction
pedestal. The specimen mould holder shall be mounted on the pedestal cap so
that the center of the mould is over the post.
f)
Breaking Head - The breaking head shall consist of upper and lower cylindrical
segments or test heads having an inside radium of N curvature of 2nd
accurately machined. The lower segment is mounted on a base having two perpendicular
guide rods or posts extending upward. Guide sleeves in the upper segment are in
such a position as to direct the two segments together without appreciable
binding or less of motion on the guide rods.
g)
Loading Frame - The loading frame consists of a Hand crank operated screw jack
mounted in steel testing frame and shall produce a uniform vertical movement of
2nd per min. An Electric motor may be attached to the jacking
mechanism, by fixing an additional base attachment with suitable pulleys for
obtaining required speed of travel. A circular plate is mounted on top of the
traversing screw for supporting.
h)
Proving Ring Assembly - One proving Ring of 5000 kg capacity shall be
equipped with a dial gauge 0.002mm / travel upper and lower proving Ring
attachments are required for fastening the proving ring to the testing frame
and transmitting the load to the breaking head.
i)
Flow Gauge
- One dial gauge also supplied 0.01mm and 25mm travel for flow. This dial gauge
is fitted with Braking Head (f).
j)
Oven Or Hot Plates - Oven or hot plates shall be provided for heating
aggregate bituminous material, specimen mould, compaction hammers, and other
equipment to the required mixing and molding temperatures. It is recommended
that the heating units be thermostatically controlled so as to maintain the
required temperature within 5F (2.8 C) suitable shields baffle plates bath
shall be used on the surfaces of the hot plates to minimize localized over
heating.
k)
Mixing Apparatus - Mechanical mixing is recommended. Any type of mechanical mixer may be
used provided it can be maintained at the required mixing temperature bad will
produce a well coated, homogeneous mixture of the required in the allow able
time, and further provided the essentially all the bath can be recovered. A metal
pan or bowl of sufficient capacity and hand mixing may also be used.
l)
Water Bath
- The Water bath shall be at least 6 in
deep and shall be thermostatically controlled so as to maintain the bath at IS
140-1-8F (60) (10) The tank shall have a perforated false bottom or be equipped
with a shelf for supporting specimen 2nd above the bottom of the
bath.
3.
Miscellaneous Equipments
1)
Containers for
heating aggregate flat-bottom metal pans or an other suitable
Containers.
2)
Container for
heating bituminous material, either gill type tins, beakers pouring posts, or
saucepans may be used.
3)
Mixing tool
either steel trowel (Garden type) or Spatula, or spading and hard mixing.
4)
Thermometer of
determining temperatures of aggregates, bitumen and bituminous mixtures.
Armored glass thermometers or dial type with metal stem are recommended. A
range of 50 to 400F.
5)
Thermometer
for water bath with a range of 20 to 70 deg. Cent.
6)
Balance 5kg
capacity, sensitive to 0.1gm for weighing moulded specimens.
7)
Balance 5kg
capacity, sensitive to 1.0gm for bathing mixtures.
8)
Gloves for
handing hot equipments.
9)
Rubber Gloves
for removing specimens from water bath.
10)
Marking
pencils for identifying specimens.
11)
Scoop flat
bottom for batching aggregates.
12)
Spoon Large
for placing mixture in specimen moulds.
Test Specimens –
a)
Number of Specimens - Prepare at least three specimens for each
combination of aggregates and bitumen contents.
b)
Preparation of Aggregates - Dry to constant weight at 221 to 231 F (105 to 110
deg. Cent.) Hand operates the aggregates by dry sieving into the desired size
fractions. The following size fractions are recommended. 1 to /31/2
inch, 1/2 to 3/8 inch, 3/8
inch to 4 (4.75mm) No. 4 (4.75mm to 8 (2.36mm) passing No. 2.36mm. (8).
c)
Preparation of Mixtures - Weight into separate pans for each test specimen,
the amount of each size fraction required to produce a batch that will result
in compact specimen 2.5 = 0.05 in, in height (about1200gm). Place the pen son
the hot plate or in the oven and best to a temperature of approximately 27.8
deg. Cent. Above the mixing temperature established in paragraph (0) charge the
mixing bowl with the heated aggregate and dry mix thoroughly, from a crater in
the dry blended aggregate and weight the required amount of bituminous material
an into the mixture. At this point the temperature of the mixing temperature
established in paragraph (e) Mix the aggregate and bituminous material rapidly
until thoroughly coated.
d)
Compaction of Specimen - Thoroughly clean the specimen mould assembly and the
face of the compaction hammer and best than either in boiling water or on the
hot plate to temperature between 200 and300F (93.3 and 148.9C) place a piece of
filter paper or paper to woling out to size in the bottom of the mould spade
the mixture vigorously with a heated spatula. Remove the collar and smooth the
surface of the mixtures immediately prior to compaction shall be within the
limits of the compacting temperature established in paragraph.
e)
Replace the Collar - Place the mould assembly on the compaction pedestal
in the mould hold and unless otherwise specified, apply 50 blows with a hammer
perpendicular to the base of the mould assembly during compaction. Remove the
base plate and collar, and reverse and reassembly the mould. App the same
number of compaction blows to the face of the reversed specimen after
compaction; remove the base plate and the place the sample extractor on that
end of the specimen. Place assemblies with the extension collar up the testing machine
apply pressure to the collar by of the load transfer bar and force the specimen
into the extension collar. Lift the collar from specimen. Carefully transfer
the specimen to smooth flat surface and allow it to stand overnight at room
temperature. Weight cooled as specified in paragraph (f). When more rapid
cooling is desired table fans may be used. Mixtures that lack suffidder
sufficient cohesion to result in the required cylindrical shape shape on
removal from the mould immediately after compaction may be cool. In the mould
in air until sufficient cohesion has developed to result in the proper cylinder
shape.
Procedure:-
a)
Bring the
specimens to the desired temperature by immersing them in the bath and place in
the lower segment of the breaking head. Place the upper segment of braking head
on the specimens and place the dial gauge to zero while holding it firmly
against the upper segment.
b)
Apply load to the
specimen by means of the constant rate of movement of the load jack or testing
machine head of 2 inch per minute until the maximum is read reached and the
load jack or testing machine head of 2 inch indicated by dial. Record the
maximum is reached and the load noted on the testing machine or converted from
the micrometer dial reading. Note the micrometer dial reading where the instant
the maximum load begions to decrease. Note an record the indicated flow value
or equivalent units in hundred the of inch if a micrometer dill is used measure
the flow the elapsed time for the test from recovery of the test specimen from
the water bath to the maximum load determination shall not exceed 30 deg. Cent.
Note – For core specimens correct the load
when thickness is other than 2 inch by using the proper multiplying factor from
table I.
Report –The report shall include the following
the information for each specimen tested,
i.
Weight of the test
specimen.
ii.
Maximum load in
kgs corrected when required.
iii.
Flow value in
hundred of an inch.
iv.
Mixing
temperature.
v.
Compacting
temperature, and
vi.
Test temperature.
14.Road
Pavement
1.1 Introduction
Road pavement can be defined as a
relatively stable layer constructed over the natural soil for the purpose of
supporting and distributing the wheel loads and providing an adequate surface
for the movements of vehicles with certain speed safely, comfortably and
economically. One main objective/function of a well-designed pavement is to
keep temporary deformation of the pavement with in the permissible limits so
that the pavement can sustain a large number of repeated load applications
during design life. In short, road
pavement is a stable layer constructed over the natural soil.
Pavement layers
Pavement consist of one or more layers
of subgrade, sub base, base, surface or wearing course.
Surfacing course is the top course and is
provided to provide smooth, abrasion resistant, dust free, reasonably water
proof and string layer. Base course is
the medium through which the stresses imposed are distributed evenly to the
underlying layers. Sub base layer provides additional help in distributing the
loads. Subgrade course is the compacted natural earth and top of the sub grade
level is also known as the formation level.
Surface
|
Binder
|
Surface
|
Base Base
Sub Base
Sub
Base
Sub Grade Sub
Grade
Indian
Practice American Practice
Wearing
|
Base
|
Road Base
Sub Base
Sub Grade
British Practice
Types
of Pavement:
Based up on the structural behavior of
the materials used in the construction, pavements are classified as
a)
Flexible
pavement
b)
Rigid
pavement
And
also, c) Semi rigid pavement
d)
composite
pavement
Flexible
Pavement:
•
The
pavements which have very low flexural strength and are flexible in their
structural behaviour under the load are called flexible pavements. The flexible
pavement layers reflect the deformation of the lower layers on to the surface
of the layer. Thus, if lower layer somehow gets deformed, then the surface of
the pavements also gets deformed.
•
Different
layers used in flexible pavement are- Soil subgrade, sub base layer, base
layer, surface layer.
•
The
flexible pavement layers transmit the vertical loads to the lower layers by
grain to grain transfer through their point of contact in the granular
structure. The load spreading capacity of the flexible layer depends on the
type of material and the mix design factors. The materials which fall in the
category of flexible pavement layers are soil aggregate mix, crushed aggregate,
WBM, granular materials with bituminous binder, bituminous concrete. The top
layer has to be the strongest as the highest stresses are to be sustained by
this layer. They also have to withstand the wear and tear due to traffic. As
the lower layers have to sustain lesser intensity of stresses and there is no
direct wearing action, therefore inferior materials with lower cost can be
used.
•
The
pavement thickness is so designed that the stresses on the sub grade soil are
kept within its bearing power and the sub grade is prevented from excessive
deformations.
Rigid
Pavement:
•
Rigid
pavements are those which possess considerable flexural strength.
•
The
rigid pavements are made of cement concrete which may be either plain,
reinforced or pre stressed.
•
The
rigid pavements have a slab action and are capable of transmitting the wheel
loads stresses through a wider area below.
•
The main difference between rigid and flexible
pavements in the structural behaviour is that the critical condition of stress
in rigid pavement is the maximum flexural strength occurring in the slab due to
the wheel load and the temperature changes where as in flexible pavement it is
the distribution of compressive stress to the lower layers and lastly over the
soil subgrade. The rigid pavement doesn't get deformed to the shape of the
lower surface as it can bridge the minor variations of lower layers.
•
Usually
the rigid pavement structure consists of a cement concrete slab, below which a
granular base or sub-base course may be provided.
•
A
good base or sub base course under the cement concrete slab increases the
pavement life considerably and therefore works out more economical in the long
run.
Semi rigid pavement:
•
When
bonded materials like pozzolanic concrete (lime-fly ash-aggregate mix), lean
cement concrete or soil cement are used in base or sub-base course layer the
pavement layer has considerably higher flexural strength than the common
flexible pavement layers. However, these bonded materials do not possess as
much flexural strength as the cement concrete pavements. These pavements are
called semi rigid pavements. These semi rigid pavement materials have low
resistance to impact and abrasion and therefore are usually provided with
flexible pavement surface course.
•
Intermediate
between the flexible and the rigid pavement.
•
Much
lower flexural strength compared to concrete slabs but derives the support by
the lateral distribution of loads through the pavement depth as in a flexible
pavement.
Composite pavement
•
A
composite pavement comprises of multiple, structurally significant layers of
different composition.
•
In
its widely used form, composite pavement consists of PCC as bottom layer and
bituminous layer as a top layer resulting in an ideal pavement with most
desirable characteristics.
•
The
bottom layer (PCC) provided a string base and the bituminous layer (top)
provides a smooth and non-reflective surface.
•
This
type of pavement is very expensive and is rarely used as a new construction
Differences
between flexible and rigid pavement
Flexible and rigid pavements differ in
many characteristics which can be described as below
Rigid
pavement
|
Flexible
pavement
|
1.
Flexible pavements under heavy loads yield to excessive stresses resulting in
the local depression of the surface.
|
A
rigid pavement under heavy load ruptures thereby producing a crack to the
surface
|
2.
A flexible pavement with subgrade of varying thickness will adjust itself to
the irregularities due to different settlements
|
A
rigid pavement with the subgrade of varying strength will not adjust the
irregularities due to different settlement but acts as a beam or cantilever.
|
3.
flexible pavements under load worsened condition in subgrade will get
depression in the pavement
|
A
rigid pavement instead is capable of bridging the small weakness and
depressions in the subgrade
|
4.
temperature variations due to atmospheric conditions do not produce stresses
|
Temperature
variations produce heavy temperature stresses
|
5.
the flexible pavement has self-healing properties (recoming to shape)
|
The
rigid pavement doesn't have self-healing properties
|
6.
strength of flexible layer is a result of building up thick layers and
thereby
distributing
the load over subgrade
|
Strength
of rigid layer is rather by bending action
|
Design precision—Cement
concrete pavement design is much more precise structural analysis because
flexural strength of concrete is well understood. But Flexible pavement designs
are mainly empirical.
Design life—Well-designed
concrete slab has a life of about 40 years whereas Flexible pavements has a
design life of 10~20 years (with extra maintenance input)
Maintenance—Awell-designed
cement concrete pavement needs very little maintenance (mainly of joints) and
in other hand, Bituminous surfaces need great inputs in maintenance
Initial cost—Argument
is made that cement concrete slab is much costlier than flexible pavement. But
If higher specification of bituminous pavement is selected, the argument that a
cement concrete specification is costlier than a flexible pavement should no
longer be valid.
Stage construction—stage construction is possible on bituminous pavement—initial outlay is
minimum and additional outlays are in keeping with traffic growth thus at no
stage the investment made in advance of the actual requirement. In other hand,
Cement concrete slab do not fit such scheme of stage construction.
Availability of material— Bitumen is a scarce resource and should be imported involving
hard earn foreign exchangewhereas Cement can be manufactured with in the
country
Surface characteristics— Cement concrete provides smooth pavement surface, free from
rutting, potholes and corrugations with good riding quality.
Asphalt concrete pavement provides
comparable riding quality
Well-constructed cement concrete
pavement gives permanent non-skid surface but faulty design may become very
smooth which is extremely costly to restore the non-skid characteristics.
Penetration of water— Cement concrete is practically impermeable except at joints where the
problem of mud pumping exists. However bituminous surface is mot impervious in
which water enters through pores and cracks which impairs stability of
pavement.
Utility location—
No digging up the pavement for water supply pipes, telephone lines, electric
poles etc. is possible for rigid pavement but the same be accomplished in
flexible pavement though the practice is not good one.
Glare and night visibility— Cement concrete is grey in color which produces glare on
the sun lights whereas Bituminous roads being black in color, need more street
lighting for night driving conditions.
Traffic dislocation during construction— Cement concrete pavement needs around 28 days for
setting and curing to gain its strength but bituminous surface can be opened to
traffic shortly after it is rolled and, in this case, traffic will facilitate
its compaction. Concrete pavement causes longer dislocation of traffic if the
work is done on existing pavement.
Environmental considerations during construction— Heating of aggregates and bitumen in
hot mix plants can prove to be much more hazardous. Use of cutbacks can also
prove to be environmentally hazardous due to evaporation of volatile
constituents into the atmosphere.
Overall economy on a life cycle basis—on overall economic considerations, rigid pavement is
far more economical than flexible pavement in the long run.
Advantages and disadvantages of Rigid
pavement
Advantages
-
High
strength: compressive, abrasion, compression-tension
-
Good
stability: water, heat stability,
strength increases with increase in time
-
Durability: 20~40 years
-
Low
maintenance cost, large economic gain: big initial investment but long design
period therefore maintenance cost per year is low.
-
Suitable
for night driving
Disadvantages
-
Necessity
of cement and water is large: for 20cm depth, 7 m wide cement concrete pavement
for every 1000 m needs about 400~500t cement and 250t water. Not included water
necessary for curing. Difficult where these materials are very hardly available
-
Have
joints: increases difficulty in construction and maintenance, easily causes
vibration on vehicle. If not handled properly, damages may occur
-
Pavement
is quite lately available for vehicle operation: needs of 15~20 days
-
Difficult
to repair: repairing work big, influence the traffic movement
1.2 Functions of different layers in
pavement structure
v Soil subgrade
The soil
subgrade is a layer of natural soil prepared to receive the layers of pavement
materials placed over it. Traffic load moving on the surface of the road is
ultimately transferred to the subgrade through intermediate layers. The
pressure transmitted on the top of the subgrade should be within the allowable
limit so as not to cause excessive stresses condition or deform the same beyond
the elastic limit. The top layer of the subgrade soil should be well-compacted
under controlled condition of optimum moisture content and maximum dry density.
It is necessary to evaluate the strength properties of soil subgrade. If the
strength properties are inferior, suitable treatment should be given to impart
improvements in the performance of soil subgrade.
v Sub base and Base layer:
These layers
are made of broken stones bounded or unbounded. Sub base layer may sometimes be
constructed by stabilized soil or selected granular soil. At sub-base course,
it is desirable to use smaller size graded aggregates or soil aggregate mixes
or soft aggregates instead of large boulder stone. Sub base course primarily
has the similar function as that of the base course and is provided with
inferior materials than of the base course.
Base and sub base courses are used
under flexible pavement primarily to improve the load supporting capacity by
distributing the load through a finite thickness. Base courses are used under
rigid pavement for preventing the mud pumping, protecting the subgrade against
frost action.Thus, the fundamental purpose of a base and sub base course is to
provide a load transmitting medium to spread the surface wheel loads in such a
manner as to prevent shear and consolidation deformation.
Ø Wearing course:
Wearing
course performs the following functions:
-
Provides
smooth and dense riding surface
-
Resists
pressure and takes up wear and tear duo to traffic
-
Provides
water tight layer against the filtration of surface water
-
Provides
hard surface which can withstand the pressure exerted by tyres of vehicle
In flexible pavement, wearing surface
is generally made of bituminous material. In cement concrete pavement, the
cement concrete slab is used as wearing course. There are many types of surface
treatments employed as wearing course. The type of surface depends upon the
availability of materials, plants and equipment and upon the magnitude of
surface loads.
There is no test for evaluating the
structural stability of the wearing course. However, the bituminous mixes used
in the wearing courses are tested for their suitability (Marshall Stability
test--optimum content of bitumen binder is worked out based on stability,
density….)
Chapter 2 Hill Roads
1.1
Definition and importance
A hill road can be defined as one
which passes through the area with a cross slope of 25% or more. A hilly or
mountainous area is characterized by a highly broken relief with widely differing
elevations, steep slopes, deep gorges and great number of water courses.
Living in hill area depends upon the
agriculture and other products of that area which are not sufficient for them
where as in plain terrain the agricultural and industrial products are always
surplus. This unbalanced productivity of land makes the people of hilly area
underprivileged. For the overall economic development of the nation this
unbalanced distribution of national product should be curtailed down. Surplus
products in one area should be served in deficit area. Construction of hill
roads is important not only from economic consideration but it is associated
with the social justification for providing facilities to underprivileged mass
of the country.
The hilly regions generally have
extremes of climatic conditions, difficult and hazardous terrain, topography
and vast high-altitude areas. The region is sparsely populated and the basic
infrastructural facilities that are available in plain areas are mostly absent.
The roads in these areas are affected by floods, landslides, snowfall etc.
compelling certain roads to be closed in part of the year especially in winter
months. But these areas are rich in natural resources, flora and fauna and are
important to launch development projects, tourism etc.
The population
A terrain can be classified into four
groups based on the ground cross slope i.e. the slope approximately
perpendicular to the C.L. of the highway alignment.
Terrain type
|
Cross slope, %
|
Level/Plain
Rolling
Mountainous
Steep
|
0 – 9.90
10 – 24.9
25 – 60
Above 60
|
2.2
Design and construction problems in hill roads
Hilly area has broken relief with
widely differing elevation in a short distance. It requires considerable length
of road
ØGeological
condition varies in a short distance. It makes difficult to design and
construct embankment and for other structures.
ØCross slope
may become unstable after road construction due to removal of vegetation and
other activities.
ØDifficult to
investigate and forecast the hydro-geological condition of hill slopes which
may cause land slide
ØRequires more numbers of cross
drainage structures and other special structures
ØSteep slope
needs careful arrangement of erosion control measures.
ØSurface
run-off become very high in a short period after heavy rain fall, it requires
the big opening for cross drainage.
ØVariation of
climatic condition causes the road damage
vTemperature
vAtmospheric
pressure
vPrecipitation
vWind
ØSpecial
safety measures should be taken or construction works.
2.3
Special consideration of hill road geometric design
We have to consider following things,
a)
Road
location and alignment
b)
Geometric
design
c)
Typical
cross section
d)
Special
structures (retaining walls, drainage, slope protection works etc.)
Alignment of
hill roads:
Special consideration should be made
in respect to variation in:
vTemperature
vPrecipitation/rainfall
vAtmospheric
pressure and wind
vGeological
condition
Temperature:
-
Temperature decreases per 100m increase
in elevation (0.50C)
-
Hill slopes facing south-west and south
receive enough solar heat; snow disappears quickly and rain water evaporates
rapidly.
-
North and north east; rain water and
snow remain for long period.
-
Sharp temperature variation of south
and south-west slopes results the fast weathering process, which causes
deposition of alluvial fan on that side, mud flow and avalanches occur
frequently.
Rainfall:
-
In
general, the increase of rainfall for every 100m of elevation averages 40 – 60
mm.
-
Hill/
mountain slopes which face winds, receive more rainfall.
-
Heavy
rainfall may occur in hills, which may cause serious damages to hill roads
-
Openings
of the cross drainage are requiring very large.
Atmospheric pressure and wind:
-
Atm. pressure decreases with the
elevation
-
At low atmospheric pressure engine
effort become less
-
At high altitude wind blows with high
velocities cause erosion of pavement material
-
Wind may damage the road pavement: by
blowing away the binding particles (in dry season), and by the erosive action
of surface run off (in wet season).
Geological
condition:
-
Sedimentary
rocks often occur as folds which may concave and convex with inclinations.
-
Degree
of stability of hill slopes depends upon the rock type, strata, inclination and
presence of ground water.
Alignment of hill
road (Route location)
Selection of
alignment in hilly region is a complex problem. The designer should attempt the
shortest, most economical and safe route. Hill roads tend to follow routes with
large number of curves.
Route location
may be:
Ø River route
Ø Ridge route
River
route:
The
location of a route along the river valley is the most frequent ease of hill
road alignment owing to the distinct advantage of running the road at a
comparatively gentle gradient. The route along the river route serves
rural settlements situated next to the water course. It has the advantage
of low operating cost, availability of water and other construction
materials in the vicinity. However, a valley run may involve numerous
horizontal curves, construction of large bridges over tributaries and on
stretches along steeply sloping hill sides, which in some places may be
insufficiently stable.
Fig.
typical example of river route
Advantages:
ü Minimum gradient
ü Availability of water and other
construction materials
ü Road can serve settlements, situated
along river valley
ü Low vehicle operation cost
Disadvantages:
ü River alignment has many horizontal
curves
ü Route cross large number of
tributaries. It means large number of cross drainages works.
ü Need of protection works against the
washout, or toe cutting of foundation of road bed or other retaining structure.
Basic
consideration in locating the river route:
ü Road bed should be away and above from
the maximum water level in the river so that the risk of erosion or seepage
during high water level.
ü Embankment slope facing the river
should be protected and stabilized
ü It needs good geological and
hydro-geological surveys of local conditions
ü When crossing water courses, several
route alternatives have to be investigated.
Ridge
route:
Ø Steep gradient
Ø Large number of curves (hair pin
bends)
Ø Expensive rock work, many other
structures
Ø It climbs continuously up from the
valley till it reaches a mountain pass and descends down to follow another hill
system
Ø Mountain pass should have the least
elevation to the direction of destination
Ø If land slope is steeper than the
permissible maximum gradient, the route can’t be laid along the shortest
direction. So, length has to be increased to gain the height with permissible
gradient.
Ø The route is traced out in the map by
following more or less the line of equal gradient, slightly lower than the
ruling gradient.
Alignment
survey of hill roads:
The alignment
of hill roads is fixed in the three stages:
Ø Reconnaissance
Ø Trace cut-1 to 1.2 m wide track
Ø Detailed survey-B/M Fixation, L-
section, X-section, Center line marking, Hydrological and soil investigations
Geometric
design of hill Roads: Main reasons for the difference in
design are complexity of terrain, high altitude factors and other problems in
the design and construction of hill roads. Special consideration should be
given for the selection of gradient and the design of hair pin bends.
2.4
Typical cross sections of hill roads
The cross section of a road in hilly
terrain is determined by the original ground slope of the site, the slope of
the road formation, width of roadway, side drain size and shape and so on.
Various configurations of road cross sections include.
1.
Cut
and fill
2.
Bench
type
3.
Box
cutting
4.
Embankment
with retaining walls
5.
Semi
bridge
6.
Semi
tunnel
7.
Platforms
Hill
road cross section example 1
Hill
road cross section example 2
Different
cross section used are
1.
Cut and fill:
When roadbed slope has a gradient 2%
or more a cut and fills road bed is cheaper and environmentally friendly as
well. The fill mass is generally balanced by the cut mass. For adequate
stability, benches are made on the surface of the hill side with a height of
0.5 m and length varying from 1.5 to 3.0 m depending upon the slope.
2.
Bench type
A cross section of the bench type
although entails some increase in earthwork but ensures the complete stability
of the road bed, if hill side is itself stable.
3.
Box cutting
When the location of road bed is
unstable or unsuitable along the hillside due to one or other reasons, the road
bed is designed as trench type of cross section. Itincreases earthwork to a
large extent. It is introduced to meet the geometric design standards for a
given category road.
It
is introduced in order to meet the geometric design standard for given category
of road. When a road is ascending up the grade is reduced substantially by
raising formation line at the beginning with fill and lowering the same at the
above section with box cutting. This way, the length of road may be
substantially reduced.
4.
Embankment with retaining walls
On steep slopes of about 30-35°,
the earthwork involved in constructing the embankment increases substantially.
The retaining wall is sometimes provided to reduce
earthwork’s cost and to increase
stability. Also, the retaining
wall is provided when embankment soil on steep grounds itself need support.
They may also be constructed on a less steep ground slope to increase the
stability of road bed.
5.
Semi bridge
If the road is located on a hill
slope the retaining wall needs to be at a substantial height. In such
cases, to reduce quantities of
work, road bed with a semi-bridge type of structure may be
constructed.
Part of the roadway is accommodated on bench cut and part on the semi bridge.
6.
Semi tunnel
When inscribing is to be cut into
steep hills in stable rock faces, the rock may be permitted to overhang the
road to reduce rock works. Such a cross section is called a semi-tunnel.
Fig: With Accommodating Road-Way
Only and With Retaining and Breast Walls4
7.
Platform
On the precipitous slopes, where
shifting of the route into the hillside will lead to enormous rock
works which eventually increases
the cost and where semi-tunnel cannot be constructed,platforms are usually
cantilevered out of the rock on which road way is partially located.
2.5
Special structures in hill road
When constructing hill roads, a
lot of special structures are required owing to harsh geological and
hydrological conditions as well as highly broken relief.
Following are the objectives of
providing special structures in hill road,
Ø To retain soil
mass
Ø To increase
stability of road embankment
Ø To accommodate
road bed in steep slope
Ø To dissipate
energy of surface water
Ø To provide snow
avalanche control and protection system
Ø To river
training and erosion control
Ø To prevent bed
scouring
The following types of structures
are mostly used in the hill roads for strength durability and stability:
1. Retaining structures
2. Drainage structures
3. Slope protection structures
1.
Retaining
structures
A retaining structure is usually
a wallconstructed for supporting vertical ornearly vertical earth bank.
Retaining wallsare constructed on the valley side on thecut hill side to
preventthe slide towardsthe roadway.
Situations whereconstruction of
retaining walls is required:
Ø Places where the
valley sidesurface gets saturated in themonsoons and is likely to result inslip
taking a part of the roadwith it.
Ø Places where
undercutting by astream or other water course causesdamage to the valleyside
and theroad.
Ø In valley point
where water flowsover the road
Ø To achieve
roadway width, wherecutting into the hill is noteconomical or has to be
restricted due to other reasons.
Major types of retaining
structures are as follows
Fig(a). crib wall
Fig (b). buttressed walls
fig(c) counterfort walls
Fig(d). gravity retaining wall Fig(e).
cantilever retaining wall
Design of
retaining walls
1. Assemble the general
information about topographical and physical surveys.
2. Analyze the subsoil condition.
3. Establish surcharge load-
highway, building, and other loads
4. Select the type and tentative
proportion of the wall.
5. Compute the earth pressure and
surcharge pressure.
6. Analyze the structural
stability.
7. Analyze foundation stability.
8. Design structural elements.
9. Select drainage in backfill.
10. Predict settlement and
movement of the wall.
2.
Drainage Structures
The main problems that hill roads
face are the harmful effect of water. Water may come from
different sources to the parts of
the road. This water must be drained using any means necessary.
Drainage of hill roads can be
studied under following sub-topics.
a)
Drainage of waterfrom hill slope
Surface water flowing fromthe
hill towards the roadwayis one of the main problemsin the drainage of hill
roads.Since a large amount ofwater flows along withdebris from the hill
slopesduring heavy storms, a catchdrain is generally providedto catch the water
in themiddle of the slope. Waterintercepted in catch waterdrains are then
diverted bysloping drains and carried tothe nearest watercourse or toculvert to
cross the roadway.The figure below shows alayout for drainage from hillslopes.
b)
Roadside Surface Drainage
Side drains are provided all
along the hill side of the road. Due to the limitation in theformationwidth
side drains are usually constructed to such a shape that at emergency
thevehicles couldutilize this space for crossing. The shapes may be angular,
saucer or kerb and channel drains.
c)
Cross
drainage
A cross drainage is always
required on a hill road. The drainage must be taken under the road as
far as possible. At the heads of
the small cross drains, catch pits must be provided to collect debris and to
prevent scouring.
d)
Subsurface
drainage
Seepage flow is one of the major
problems in hill road. Ground water may seep across hillside
above or below the road level
depending upon several factors such as nature and depth of hard
stratum, its inclination, the quantity
of ground water etc.
3.
Slope protection structures
In hill roads, landslides are
very common due to steep slopes. The basic cause of landslide is thedevelopment
of shear stresses more than the shear strength of the soil. Fresh
unturfedembankmentand cut slopes are the least stable part of the road bed
since the soil on the surface of the slopes issubjected to the direct action of
sun, rain, and wind.
Causes of
landslides
-
Increase in moisture content of the soil in hill slopes
which increases the pore water
-
pressure.
-
Alternate swelling and contracting of the soil mass.
-
Seepage pressure of percolating groundwater.
-
Steeper slopes.
-
Human activities like blasting and using heavy vehicles at
unstable zones.
Preventive
measures
-
The highway may be realigned at areas more prone to landslides.
-
Construction of retaining walls must be done at places where
required
-
Adopting easy slopes during design and construction of the
road.
-
Treatment of slopes to increase stability conditions.
Reinforced
retaining walls
This is a type of retaining wall
of composite construction material in which strength of fill is
enhanced through the addition of
inextensible tensile reinforcement in the form of strips, sheets,
grids, or geotextiles.
It is suitable for hill roads
because:
-
The fill material is readily available at cheaper cost.
-
The land required for embankment is less.
-
Cost effective, easy to construct and environmentally
friendly.
-
It causes less alteration in natural slope.
15.Road
Machineries
3.1
Methods of road construction
There are two methods in which road
construction works are carried out.
a)
Labor
based method of construction
b)
Machine
based method of construction
The methods are selected according to
the availability and suitability of equipment, plants and tools in the field.
Also, it differs according to size of construction and budget available too.
Labor based method is used when the
large plants and advanced technologies are not available in the field. For the
rural areas, and very steep slope areas such as hill roads, and mountain areas,
we cannot bring the very large mixer, dozers, and compacting equipment’s. So,
we must apply the labor-based method in road construction. Generally single
lane roads, water bound macadam’s, and green roads are suitable to be
constructed by this method.
On the other hand, for the very large
projects and in the conditions where the plants, materials,equipment is
available then we use the machine-based methods of construction. Also, in some
situations, there is difficulties in finding labor, also sometimes labors can
not work in adverse conditions like mining, golf countries, underwater tunnels
etc. then we must use machines and apply technologies in road construction.
The initial cost of machine-based work
is high, however over the life of road, labor-based work also seems to cost
more due to necessity of maintenance, repair and future forecast.
3.2
Different types of Tools, Equipment and Plants used in Road Construction
Highway construction can be carried
out either by using mechanical appliances or by manual labor. Although adoption
of mechanical method involves heavy initial investment but it results superior
and economical than those conducted by manual labor. Machines that can be used
in road construction can be classified into following heads.
ü Earthwork machinery
ü WBM road machinery
ü Bituminous road machinery
ü Cement concrete road machinery
In road construction, earthwork has to
be done to obtain necessary formation level.Tractor, dozer, scrapper, grader,
shovel, dragline, power rammers, rooters, trucksetc. are the usual mechanical
equipment used for earthwork.
Road metal machineries are primary
crusher, secondary crusher and tertiary crusher. Bitumen road machinery
consists of bitumen boiler, bitumen sprayer, bitumen mixer and sprayer,
spreader, gritting machine, hot mix plant, bitumen plane etc.
Machinery required for cement concrete
road construction is as follows--concrete batching plant, concrete mixer,
concrete pavers, concrete screens, concrete vibrators, concrete finishers etc.
Ø Small projects—labor intensive works
Ø Big projects—almost impossible without
construction equipments.
Types of road pavement
1.
Earth
and gravel roads
2.
WBM
roads
3.
Soil
stabilized roads
4.
Bituminous
or black top roads
a.
Surface
dressing
b.
Seal
coat/prime coat/tack coat
c.
Grouted
or semi grouted macadam
d.
Premix—
bituminous bound macadam
Bituminous carpet
Bituminous concrete
Sheet asphalt or rolled asphalt
Mastic asphalt
5.
Cement
concrete roads
a.
cement
grouted layers
b.
rolled
concrete layer
c.
cement
concrete slab
Construction equipments
1.
Tools
a.
hand
shovel
b.
chisel
c.
peak
d.
spade
e.
hand
rammer
f.
brushes
g.
trowel
h.
wheel
barrows etc.
2.
Equipments
a.Earth moving equipments
i.
dozer
(bull dozer, angle dozer, tree dozer)
ii.
scrapper
iii.
loader
iv.
excavator
(back hoe)
v.
drag
line
vi.
clamshell
vii.
trench
digger
b.Compaction equipment
i.
smooth
wheel rollers
ii.
vibrating
rollers iii.pneumatic rollers iv.sheep foot rollers
v.rammers
c.Leveling equipment
i.grader
d.Paving equipment
i.
binder
spreader
ii.
heating
kettle for binder
iii.
aggregate
spreader
iv.
cement
concrete mixer
v.
bituminous
paver
vi.
cement
concrete paver etc.
e.lifting equipment
i.
backhoe
(for low load)
ii.
crane
(different capacity)
f.transporting equipment
i.
dumping
trucks (tipper)
ii.
trucks
(flat body)
iii.
mini
dumpers
g.plants
i.
cement
concrete plant
ii.
asphalt
concrete plant
iii.
cold
premix mixing plant
iv.
aggregate
crusher plant
v.
screening
plant
vi.
washing
plant
vii.
sand
blowing plant
3.3
Different types of Compacting Equipment
Soil compaction can be achieved in the
field either by rolling, ramming or by vibration. Hence the compacting
equipment may also be classified as rollers, rammers and vibrators. Compaction
of sands is also achieved by watering, pounding and jetting. Trucks and heavy
equipments do compaction of loose materials to some extent.
Rollers:
The principle of roller is the application of
pressure, which is slowly increased and then decreased. The various types of
rollers which are used for compaction are smooth wheel, pneumatic tired and
sheep-foot rollers.
Smooth wheel rollers
Ø Two types
1.
Three
wheel or macadam rollers with gross weight of 4~18t
2.
Tandem
rollers (twowheel)with gross weight of 1~14t
·
The
compacting efficiency of the smooth wheel rollers depends on the weight, width
and diameter of each roller
·
Useful
for finishing operations after compaction of fills and for compacting granular
base course of highways
·
Used
to seal the surface of the fill to provide a smooth surface to quickly drain
off the rainwater.
·
They
are suitable for compacting gravel, sand, crushed rock and any material where crushing
action is required.
Pneumatic tired rollers
·
Number
of pneumatic wheels (9~11 wheels fixed on two axles) are mounted on two or more
axles under a loading platform. Sandbags or some other weights can be placed
over the platform to provide the effective compaction.
·
Pneumatic
tires are so spaced that a complete coverage is obtained with each pass of the
roller.
·
Compacts
the soil by kneading action
·
Effective
for compacting both cohesive soils and cohesion less soils
·
The
weight of such roller may be as large as 50t and 2~4 passes are generally
sufficient to achieve compaction of 60cm thick soil layer.
·
Light
rollers (weight up to 20t) for soil layers of small thickness up to 15 cm,
heavy rollers useful for layers of thickness up to 30 cm.
Sheep foot rollers
·
Consists
of hollow steel cylinder with projecting feet.
·
The
weight of the roller can be increased by filling water.
·
The
weight, diameter and width of the roller may be varied and also the shape and
size of the feet.
·
Efficiency
of the sheep foot rollers depends on the weight of the roller and the number of
feet in contact with the ground at a time.
·
Suitable
to compact clayey soils
·
Combine
the soil by the combined action of tamping and kneading
·
About
24 or more number of passes of the roller may be necessary to obtain adequate
compaction
Rammers
·
Block
of iron or stone attached to a wooden rod
1.
Hand
operated of weight about 3.5 Kg
2.
Mechanical
·
Useful
to compact relatively small areas and where the rollers cannot operate due to
space limit such as trenches, foundation and slopes.
·
The
output of the rammer is much lower than that of rollers.
Vibrators
They are most suitable for compacting
dry cohesionless granular material. There is also vibrator mounted roller
(vibratory roller) to give combined effects of rolling and vibration. They are
advantageously used in compacting a wide range of materials.
Watering (Jetting and Pounding)
·
Is
considered to be an efficient method of compacting cohesionless sands.
·
Watering
heavily and rolling by smooth wheel of pneumatic tyred roller may also give
adequate compaction of cohesionless sands.
The compaction of roller depends up on
the following factors:
-
Contact
pressure
-
Number
of passes
-
Layer
thickness
-
Speed
of roller
16.Road
Construction Technology
4.1
Introduction
Road construction technology is that
branch ofhighway engineering when deals with all kinds ofactivities and
technology or operations for changingexisting ground to the designed shape,
slope and toprovide all necessary facilities for smooth, safe andefficient
traffic operation and also includes thereconstruction of existing roads.
As per nature and type of works and
elements of road to be constructed various activities can broadly divided into
several works.
Highway construction project may be
broadly divided into two phases:
ü Earthwork and preparation of Sub-grade
ü Pavement construction
The selection of base course and the
surface course depends upon:
-
Type
and intensity of the traffic.
-
Funds
available for the construction project
-
Sub-grade
soil and drainage condition
-
Availability
of construction materials at site.
-
Climatic
condition.
-
Plants
and equipment available.
-
Time
available for completing the project.
4.2
Activities involved in road construction
1.
Earthwork and site clearance
·
site
clearance
·
earthwork
in filling for embankment
·
excavation
for cutting
·
excavation
for borrow pit
·
excavation
for structural foundation
·
disposal
of surplus earth
2.
Drainage works
·
minor
bridges
·
culverts
·
causeways
·
side
drains
·
other
surface and sub surface drainage works
3.
Protection works
·
earth
retaining structures
·
river
training works
·
gully
control works
·
land
slide stabilization
·
bridge
protection works
4.
Pavement works
·
sub
grade works
·
sub
base works
·
base
works
·
surface
works
5.
Miscellaneous works
·
road
ancillaries
·
Traffic
signs/signals/markings etc.
·
bio-engineering
works
Preparation of
road bed
a)
site
clearance
b)
preparation
of subgrade
c)
earthwork i)
earthwork in excavation
ii)
earthwork in embankment
Site Clearance
Site clearance is the first operation to be startedjust after
completion of survey works for fixing theroad alignment and before the
beginning of anyearth works for the road construction. Major worksto be done
under this heading along the alignmentare as follows:
-
Clearing hedges and shrubs
at least covering toe width.
-
Removal of existing tree
stump, and roots along the alignment
-
Removal of existing structures along
the alignment.
Preparation of
subgrade
Subgrade preparation includes all
operations before the pavement structures could be laid over it and compacted.
Subgrade may be situated on embankment, excavation or at the existing ground
surface. Therefore, the sites should be cleared off and grading is necessary to
bring the vertical profile of the sub grade to the designed grade and camber.
The top of the sub grade should be well compacted before placing the pavement
layer.
4.3
Earthwork
It is the process to prepare the
sub-grade level bringing it to the desired grade and camber by compacting
adequately. The earth work may be either in embankment (filling) or in
excavation(cutting) depending on the topography.
It includes all construction
operations required to convert the road land from its natural condition and
configuration to the sections and grades prescribed in the plans.
Earthwork, which may be excavation or
filling, can be performed manually or using machines. In order to reduce the
cost of construction it is necessary to plan the movement of materials from
cuts to the nearest fills; therefore, it is necessary to decode the limits of
economical haul and lift.
Earthwork in Excavation:
·
Process
of cutting or loosening and removing the earth including rock from its original
position transporting and dumping it to the site as a fill or spoil bank.
·
May
be needed before preparing the sub grade
·
Done
when the natural ground level is higher the designed grade line level.
·
The
depth of cutting depends up on the height of grade line below natural ground
level and can be calculated from L-section and cross section of the road.
The
slope to be provided for excavation depends upon the nature and type of soil
and depth of cutting, construction of side drains also requires excavation
along roadside.
·
The
selection of excavating equipment and cost analysis is made based on the
stiffness of the materials to be excavated. The excavation equipments are
bulldozer, drag line, scrappers, clam shell, hoe etc. The selection of
particular type of equipment depends upon the types of soil, availability of
equipment and cost benefit analysis of the project.
·
The
design elements of highway excavation works are
-
Depth
-
Stability
of foundation
-
Stability
of slopes
-
Accommodation
of road side drains
Earthwork in Embankment:
Is the filling of earth or soil to
achieve the desired grade line with the consideration of vertical alignment. It
is necessary when natural ground level is below the grade line level or
formation level. The grade line may be raised due to any of the following
reasons.
·
To
keep the subgrade above the high ground water table.
·
To
prevent damage to pavement due to surface water and capillary water.
·
To
maintain the design standards of the highway with respect to the vertical
alignment.
The design elements of highway
embankments are
i.
Height
of fill: Depends on the formation level and location of natural ground. In case
of weak soils, its bearing capacity and stability control the height of
embankment.
ii.
Fill
materials: Generally, granular soil is preferred as highway embankment
material. As far as possible organic soils, silts should be avoided. If the
foundation is very weak then light soil as cinder nay also be used as fill
material. iii.settlement of embankment:
The settlement of fill material i.e.
embankment may be caused due to
-
settlement
of fill material itself
-
settlement
of foundation
-
both
of the above
To reduce the settlement of foundation
at high moisture content sometimes following remedy is taken into account.
iii.
The
use of vertical drains and sand blanket will reduce the path of flow so that
there is no danger from settlement point of view. Sand blanker is extended
beyond the bottom width. Whatever is the type of settlement it is desirable
that the settlement is almost complete before the construction of pavement.
iv.
Stability
of foundation: The foundation stability is evaluated and the factor of safety
is estimated by any of the following approaches.
·
Assuming
a certain failure surface such as a circular arc or any other composite shape
and analyzing it with Swedish circular arc analysis or method of wedges as the
case may be.
·
Estimating
the average shear stress and strength at the foundation layers by approximate
methods and estimating the factor of safety. Using theoretical analysis based on elastic theory.
v.
Stability
of slopes: Embankment slopes should be stable enough to eliminate the
possibility of a failure under adverse moisture and other conditions. The
stability of the slope should be checked by providing minimum factor of safety
of 1.5. Flatter slopes are preferred than in cutting.
Construction of Embankment
The embankment may be constructed
either by rolling in relatively thin layers called rolled earth method or by
hydraulic fills. In rolled earth method each layer is compacted by rolling to a
satisfactory degree or to a desired density before next layer is placed. While
rolling the layers of the soils are maintained at optimum moisture content.
Compaction at optimum moisture content provides the maximum dry density. The
thickness of the layers may vary between 10~30 cm. depending on various factors
such as soil type, equipment specification etc.
The practice of dumping the earth
without compacting properly and allowing the fill to get consolidated under
weather during few subsequent seasons should be avoided as the settlement will
continue for a very long period. If pavement is constructed before the
settlement of the fill is almost complete, the pavement is likely to become
uneven and also fail later.
Soil Compaction
Compaction of soil is the process by
which the soil particles are constrained to pack more closely together through
a reduction in air voids generally by mechanical means. The object of
compacting soil is to improve its properties and to increase its strength and
bearing capacity reduce its compressibility and decrease its ability to absorb
water due to reduction in volume of voids. The various factors influencing soil
compaction include moisture content, amount and type of compaction, soil type
and stone content. There is optimum moisture content for a soil, which would
give maximum dry density for a particular type and amount of compaction. Hence,
it is desirable to compact the soil at the OMC after deciding the compacting equipment.
The moisture content during compaction must also be specified and carefully
controlled during construction to achieve the maximum density by the selected
method of compaction.
Field Control of Compaction
For adequate quality control in
construction, it is necessary to have proper field control in construction. The
two field control tests needed are:
·
Measurement
of moisture content
·
Measurement
of dry density
Before compaction of earthwork is
undertaken, it is always preferred to know the optimum moisture content for the
soil, which can be determined by Proctor's Field control method. If the
moisture content of the soil during compaction is controlled at OMC then the
next control needed is the dry density, the desired value of which may be achieved
by increasing the number of passes for the selected equipment and the thickness
of each later (sand replacement method is widely used.)
In field, it is not possible to
achieve 100% results in comparison to standard results obtained in the
laboratory. However, by field checks it is possible to control the compaction
to achieve the best possible results.
Relation
of optimum moisture content and maximum dry density
To
assess the degree of compaction, it is necessary to use the dry unit weight,
which is an indicator of compactness of solid soil particles in a given volume.
The laboratory testing is meant to establish the maximum dry density that can
be attained for a given soil with a standard amount of compactive effort.
In the test, the dry density cannot be determined directly, and as such the bulk density and the moisture content are obtained first to calculate the dry density as
In the test, the dry density cannot be determined directly, and as such the bulk density and the moisture content are obtained first to calculate the dry density as
Dry density can be related to
water content and degree of saturation (S) as
The relation between moisture content and
dry unit weight for a saturated soil is the zero air-voids line. It is not feasible to expel air
completely by compaction, no matter how much compactive effort is used and in
whatever manner.
Effect of Increasing Water Content
As water is added to a soil at low moisture contents, it becomes easier for the particles to move past one another during the application of compacting force. The particles come closer, the voids are reduced and this causes the dry density to increase. As the water content increases, the soil particles develop larger water films around them.
As water is added to a soil at low moisture contents, it becomes easier for the particles to move past one another during the application of compacting force. The particles come closer, the voids are reduced and this causes the dry density to increase. As the water content increases, the soil particles develop larger water films around them.
This increase in dry density continues till a
stage is reached where water starts occupying the space that could have been
occupied by the soil grains. Thus, the water at this stage hinders the closer
packing of grains and reduces the dry unit weight. The maximum drydensity (MDD) occurs at an optimum water content
(OMC), and their
values can be obtained from the plot.
Effect of Increasing Compactive Effort
The effect of increasing compactive effort is shown. Different curves are obtained for different compactive efforts. A greater compactive effort reduces the optimum moisture content and increases the maximum dry density.
The effect of increasing compactive effort is shown. Different curves are obtained for different compactive efforts. A greater compactive effort reduces the optimum moisture content and increases the maximum dry density.
An increase in compactive effort
produces a very large increase in dry density for soil when it is compacted at
water contents drier than the optimum moisture content. It should be noted that
for moisture contents greater than the optimum, the use of heavier compaction
effort will have only a small effect on increasing dry unit weights.
It can be seen that the compaction
curve is not a unique soil characteristic. It depends on the compaction effort.
For this reason, it is important to specify the compaction procedure (light or
heavy) when giving values of MDD and
OMC.
Factors Affecting Compaction
The factors that influence the achieved degree of compaction in the laboratory are:
The factors that influence the achieved degree of compaction in the laboratory are:
ü Plasticity of the soil
ü Water content
ü Compactive effort
Mass Haul Diagram
It is
the Graphical representation of the amount of earthwork involved in road
construction and the manner in which the earth to be hauled economically.
Characteristics and principle of
diagram are as follows
•
Is
plotted below the longitudinal profile
•
Horizontal
distances are the chainage along the centre line
•
The
ordinate at any station along the curve indicates the earthwork quantity accumulated up to that point and is the
summation of the differences between cut and fill.
•
The
maximum ordinate (+) indicates a change from cut to fill
•
The
minimum ordinate (-) indicates a change from fill to cut
•
A
rising curve at any point indicates an excess of excavation over till at that
point. A falling curve indicates the reverse.
•
If
the curve has steep slopes it indicates heavy cuts or high fills. Flat slopes
indicate small earthwork quantities.
•
A
convex loop of the mass diagram indicates that the haul from cut to fill is
from left to right. A concave loop indicates that the haul from cut to fill is
from right to left.
•
Balance
point—a point where the volume in excavation balances the volume in embankment.
•
Any
line drawn parallel to the base line and intersecting two point within the same
curve indicates a balance of cut and fill between these two points
•
The
area between a balancing line and the mass diagram is a measure of the haul
between the balance points. This area divided by the maximum ordinate between
the balance line and the curve gives the average distance of haulage of the cut
material to make the fill.
•
When
the earth excavation and embankment quantities balance at the end of the
section, the mass diagram curve would end at the base line at the zero point.
•
Free
haul—it is the distance to which the contractor is supposed to move the earth
without any additional charge. The charge for free haul is covered by the unit
rate of earthwork and it is generally 50m
•
Overhaul
is the distance in excess of free haul for which the contactor will be paid
extra for each unit of haulage
•
Economic haul: -
When the
haul distance area large it may be economical to waste excavated material and
borrow from a more convenient source that pay for overhauling.
§ Economic haul distance is a distance
to which material from excavation to embankment can be moved more economically
than to get material from borrow opening
§ The economic over haul distance can be
determined by equating the cost of roadway excavation plus overhaul and tipping
in embankment with the cost of borrow pit material (including original cost as
well as cost of excavation, hauling and tipping from borrow pit to embankment)
plus excavation, haul and wasting of roadway material within the free haul
distance.
Thus if,a= cost of roadway excavation per m3
b= cost of overhaul and tipping per m3
per station
c= cost
of borrow materials per m3
L=
economic overhaul distance in stations
a+b*L
= c+a
If the free haul distance is denoted
by F stations, then the economic haul distance is given by
F+L
= F + c/b
Shrinkage: when
earth is excavated from borrows area and deposited on the embankment its volume
increases. But as compaction is done, the final volume of the compacted bank
becomes less than the borrow area volume. This is known as shrinkage. Actual
shrinkage factor depends on the soil deposit and may vary from 10~20%.
Swell—when rock
is excavated and deposited in the bank, the volume of material may occupy a
larger volume. 20~40%.
Construction of low-cost roads
A low-cost road is a road constructed
at a low cost and is capable of being maintained at a low cost. In villages and
underdeveloped areas, the immediate need is not of good roads but the access
which may serve the traffic needs. As the traffic increases on the road, as a
result of the development existing roads may be improved upon to serve the need
of the increased traffic. This enables economical use of the funds.
Construction of low-cost roads is very preferred in developing countries like
Nepal where large length of roads are to be constructed in the rural area with
the limited available funds. Earth roads, Gravel roads and Soil stabilized
roads are the examples of such roads.
fig
17.Thin Walled Vessel
17.Thin Walled Vessel
1)
A cylindrical shell is 3m long, and is having 1m internal diameter and
15mm thickness. Calculate the maximum intensity of shear stress induced and
also the changes in the dimensions of the shell, if it is subjected to an
internal fluid pressure of 1.5 N/mm2.
Ans: - ɛc = 2.125*10-4 Ϩd
= 0.2125 mm, Ϩl = 0.15 mm, Ϩv = 1119192.4 mm2
2)
A thin cylindrical shell, 2m long has 200 mm diameter and thickness of
metal 10 mm. it is filled completely with a fluid at atmospheric pressure. If
an additional 25000 mm3 fluid is pumped in, find the pressure
developed and hoop stress developed. Also find the changes in diameter and
length. Take E = 2*105N/mm2 and µ= 0.3.
Ans: - p= 4.188 N/mm2, σc = 41.88 N/mm2,
σl = 20.54 N/mm2, Ϩd = 0.0356 mm, Ϩl
= 0.08376 mm
3)
The diameter of a city water supply pipe is 750mm. It has to withstand a
water head of 60m. Find the thickness of the seamless pipe, if the permissible
stress is 20 N/mm2. Take unit weight of water as 9810 N/mm3.
Ans: - t= 9.197 mm
4)
A thin cylindrical shell made up of a copper plate 6 mm thick is filled
with water under a pressure of 6 N/mm2. The internal diameter of the
cylinder is 250 mm and its length is 1.0 mm. Determine the additional volume of
the water pumped inside the cylinder to develop the required pressure. ECopper=
1.04*105 N/mm2, µ= 0.32, K water = 2100 N/mm2.
Ans: -250.72*103 mm3
5)
A 100mm diameter 5mm thick cylindrical shell is provided with
hemispherical ends, and subjected to internal fluid pressure. Find the
thickness of the hemispherical part of the condition of no distortion of the
junction. Take µ=
0.25.
Ans:- t2= 2.14mm
6)
What is the largest diameter of the boiler that can be manufactured with
16mm plates to resist internal pressure of 2 N/mm2. If the
permissible stress is 150 N/mm2 and efficiencies of longitudinal and
circumferential joints are 75% and 45% respectively.
Ans: - d= 1800mm, 2160 mm
7)
A cylindrical water tank having vertical axis is open at the top. Its
inside diameter is 500cm and the height is 20m. the tank is full of water and
is made of structural steel having yield stress of 2200 kg/cm2.
Determine the thickness of the steel sheet used if the efficiency of
longitudinal joint is 80% and the factor of safety is 3.
Ans: - t ≥ 0.85 cm
8)
A thin cylinder having 12 cm internal diameter and 2 mm wall thickness is
closed at its ends. The cylinder is subjected to an internal pressure of 3 N/mm2
and torque of 800 Nm rotating the cylinder in the clockwise direction for a
point on the outside surface of the cylinder. Determine the principal stresses
and maximum shear stress developed.
Ans: - τ = 17.145 N/m2, σ1 = 95.934 N/mm2, σ2 = 39.066 N/mm2
16.Marshall Stability
Apparatus
Operating
Instruction For
Resistance in to
plastic flow of bituminous matured using
Marshall Stability
Apparatus
1. Scope: This method coves the measurement of the
resistance to plastic flow of
cylindrical specimens of bituminous paving mixture loaded on the lateral
surface by means of the Marshall
apparatus. This method is for use with hot mixture containing asphalt of tar
and aggregate unit in maximum size.
2.
Apparatus
a)
Specimen
Mould Assembly - Mould cylindrical 4 inch dia meter and 3
Inch in height base plates
and extension collar shall conform to the details. Three mould cylinders are
recommended.
b) Specimen Extractor - A specimen
extractor the compacted from the specimen mould is recommended. A suitable bar
is required to transfer load from the extension collar to the upper proving
ring attachment while extracting the specimen.
c) Compaction Hammer - The
Compaction Hammer shall have a flat, circular tamping face and a 10 Lb sliding
weight with a free fall of 18 inch two compaction Hammer are a recommended.
d) The
Compaction pedestal shall consist of a wooden post capped with a 30 cm by 30cm
by 25mm (Aprox) in steel plate. The wooden post shall be oak, yellow pine, or
other wood having a dry. The wooden post shall be secured by four angle
brackets to a solid concrete stab. The steel cap shall be firmly fastened to
the post. The pedestal assembly shall be installed so that the post is plumb
and cap is level.
e) Specimen Holder - The specimen
mould holder shall consist of a semicircular base and circular ring to hold the
specimen mould in place during compaction of the specimen the top section shall
be flanged to fit over the collar of the specimen mould and shall be attached
to the base by means of a fulcrum on one side. Holder shall be provided in the
base for mounting on the compaction pedestal. The specimen mould holder shall
be mounted on the pedestal cap so that the center of the mould is over the
post.
f) Breaking Head - The breaking
head shall consist of upper and lower cylindrical segments or test heads having
an inside radium of N curvature of 2nd accurately machined. The
lower segment is mounted on a base having two perpendicular guide rods or posts
extending upward. Guide sleeves in the upper segment are in such a position as
to direct the two segments together without appreciable binding or less of
motion on the guide rods.
g) Loading Frame - The loading
frame consists of a Hand crank operated screw jack mounted in steel testing
frame and shall produce a uniform vertical movement of 2nd per min.
An Electric motor may be attached to the jacking mechanism, by fixing an
additional base attachment with suitable pulleys for obtaining required speed
of travel. A circular plate is mounted on top of the traversing screw for
supporting.
h) Proving Ring Assembly - One
proving Ring of 5000 kg capacity shall be equipped with a dial gauge 0.002mm /
travel upper and lower proving Ring attachments are required for fastening the
proving ring to the testing frame and transmitting the load to the breaking
head.
i)
Flow Gauge
- One dial gauge also supplied 0.01mm and 25mm travel for flow. This dial gauge
is fitted with Braking Head (f).
j)
Oven Or Hot
Plates - Oven or hot plates shall be provided for heating aggregate
bituminous material, specimen mould, compaction hammers, and other equipment to
the required mixing and molding temperatures. It is recommended that the
heating units be thermostatically controlled so as to maintain the required
temperature within 5F (2.8 C) suitable shields baffle plates bath shall be used
on the surfaces of the hot plates to minimize localized over heating.
k) Mixing Apparatus - Mechanical
mixing is recommended. Any type of mechanical mixer may be used provided it can
be maintained at the required mixing temperature bad will produce a well
coated, homogeneous mixture of the required in the allow able time, and further
provided the essentially all the bath can be recovered. A metal pan or bowl of
sufficient capacity and hand mixing may also be used.
l)
Water Bath
- The Water bath shall be at least 6 in
deep and shall be thermostatically controlled so as to maintain the bath at IS
140-1-8F (60) (10) The tank shall have a perforated false bottom or be equipped
with a shelf for supporting specimen 2nd above the bottom of the
bath. Miscellaneous Equipments
1)
Containers for heating aggregate flat-bottom metal
pans or an other suitable
Containers.
2)
Container for heating bituminous material, either
gill type tins, beakers pouring posts, or saucepans may be used.
3)
Mixing tool either steel trowel (Garden type) or
Spatula, or spading and hard mixing.
4)
Thermometer of determining temperatures of
aggregates, bitumen and bituminous mixtures. Armored glass thermometers or dial
type with metal stem are recommended. A range of 50 to 400F.
5)
Thermometer for water bath with a range of 20 to 70
deg. Cent.
6)
Balance 5kg capacity, sensitive to 0.1gm for
weighing moulded specimens.
7)
Balance 5kg capacity, sensitive to 1.0gm for
bathing mixtures.
8)
Gloves for handing hot equipments.
9)
Rubber Gloves for removing specimens from water
bath.
10)
Marking pencils for identifying specimens.
11)
Scoop flat bottom for batching aggregates.
12)
Spoon Large for placing mixture in specimen moulds.
Test Specimens –
a) Number of Specimens - Prepare at
least three specimens for each combination of aggregates and bitumen contents.
b) Preparation of Aggregates - Dry
to constant weight at 221 to 231 F (105 to 110 deg. Cent.) Hand operates the
aggregates by dry sieving into the desired size fractions. The following size
fractions are recommended. 1 to /31/2 inch, 1/2 to 3/8 inch, 3/8 inch
to 4 (4.75mm) No. 4 (4.75mm to 8 (2.36mm) passing No. 2.36mm. (8).
c) Preparation of Mixtures - Weight
into separate pans for each test specimen, the amount of each size fraction
required to produce a batch that will result in compact specimen 2.5 = 0.05 in,
in height (about1200gm). Place the pen son the hot plate or in the oven and
best to a temperature of approximately 27.8 deg. Cent. Above the mixing
temperature established in paragraph (0) charge the mixing bowl with the heated
aggregate and dry mix thoroughly, from a crater in the dry blended aggregate
and weight the required amount of bituminous material an into the mixture. At
this point the temperature of the mixing temperature established in paragraph
(e) Mix the aggregate and bituminous material rapidly until thoroughly coated.
d) Compaction of Specimen -
Thoroughly clean the specimen mould assembly and the face of the compaction
hammer and best than either in boiling water or on the hot plate to temperature
between 200 and300F (93.3 and 148.9C) place a piece of filter paper or paper to
woling out to size in the bottom of the mould spade the mixture vigorously with
a heated spatula. Remove the collar and smooth the surface of the mixtures
immediately prior to compaction shall be within the limits of the compacting
temperature established in paragraph.
e) Replace the Collar - Place the
mould assembly on the compaction pedestal in the mould hold and unless
otherwise specified, apply 50 blows with a hammer perpendicular to the base of
the mould assembly during compaction. Remove the base plate and collar, and
reverse and reassembly the mould. App the same number of compaction blows to
the face of the reversed specimen after compaction; remove the base plate and
the place the sample extractor on that end of the specimen. Place assemblies
with the extension collar up the testing machine apply pressure to the collar
by of the load transfer bar and force the specimen into the extension collar.
Lift the collar from specimen. Carefully transfer the specimen to smooth flat
surface and allow it to stand overnight at room temperature. Weight cooled as
specified in paragraph (f). When more rapid cooling is desired table fans may
be used. Mixtures that lack suffidder sufficient cohesion to result in the
required cylindrical shape shape on removal from the mould immediately after
compaction may be cool. In the mould in air until sufficient cohesion has
developed to result in the proper cylinder shape.
Procedure:-
a) Bring
the specimens to the desired temperature by immersing them in the bath and
place in the lower segment of the breaking head. Place the upper segment of
braking head on the specimens and place the dial gauge to zero while holding it
firmly against the upper segment.
b) Apply
load to the specimen by means of the constant rate of movement of the load jack
or testing machine head of 2 inch per minute until the maximum is read reached
and the load jack or testing machine head of 2 inch indicated by dial. Record
the maximum is reached and the load noted on the testing machine or converted
from the micrometer dial reading. Note the micrometer dial reading where the
instant the maximum load begions to decrease. Note an record the indicated flow
value or equivalent units in hundred the of inch if a micrometer dill is used measure
the flow the elapsed time for the test from recovery of the test specimen from
the water bath to the maximum load determination shall not exceed 30 deg. Cent.
Note – For core specimens
correct the load when thickness is other than 2 inch by using the proper multiplying
factor from table I.
Report –The report shall include
the following the information for each specimen tested,
i.
Weight of the test specimen.
ii.
Maximum load in kgs corrected when required.
iii.
Flow value in hundred of an inch.
iv.
Mixing temperature.
v.
Compacting temperature, and
vi.
Test temperature.
cont….
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