Code No: R31015
R10
Set No: 1
III B.Tech. I Semester Supplementary Examinations, June/July -2014
STRUCTURAL ANALYSIS-II
(Civil Engineering)
Time: 3 HoursMax Marks: 75
Answer any FIVE Questions
All Questions carry equal marks
**
1. A three parabolic arch of 20 m span and 4 m central rise carries a point load of 4 kN at 4 m
horizontally from the left hand hinge. Calculate the normal thrust and shear force at the section
under the load. Also calculate the maximum bending moment positive and negative
2. A two hinged semicircular arch of uniform EI and of radius R supported at the same level
carries a distributed vertical load linearly varying from zero at left end to the w/unit run at the
right end. Obtain the reaction components at the right end. Hence compute the bending
moment, the normal thrust, and radial shear at the left quarter span section.
3. Explain the Cantilever method for analyzing a building frame subjected to horizontal forces.
4. The cable of a suspension bridge of span 120 m has a dip of 12m. The cable is stiffened by a
three -hinged girder. The dead load of the girder is 1 tonne per meter. Find the greatest
bending moment for the girder due to the passage of a 20 t load. Find also the maximum
tension in the cable.
5. A portal frame ABCD fixed at ends A and D, carries a point load 10 kN as shown in figure
Analyze the frame by using moment distribution method. Draw bending moment diagram
6. Analyse the Continuous beam shown in figure using kani's method and draw BMD.
EI = Constant.
7. A two span continuous beam ABC rests on simple supports at A,B and C. All the three
supports are at same level. The span AB=7.5m and span BC=5.5m. The span AB carries a
uniformly distributed load of 35 kN/m and span BC carries a central point load of 68kN. EI is
constant for the whole beam. Find the moments and reactions at all the support using flexibility
method.
8. Using stiffness method find the support moments for the two-span continuous beam loaded as
shown in figure, and sketch the B.M. and S.F.D.(EI=constant)
**
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Code No: R31015
R10
Set No: 2
III B.Tech. I Semester Supplementary Examinations, June/July -2014
STRUCTURAL ANALYSIS-II
(Civil Engineering)
Time: 3 HoursMax Marks: 75
Answer any FIVE Questions
All Questions carry equal marks
**
1. A parabolic arch hinged at the springing and crown has a span of 20 m. The central rise of the
arch is 4 m. It is loaded with a uniformly distributed load of intensity 2kN/m on the left 3 m
length. Calculate:
i) The direction and magnitude of reactions at the hinges
ii) The bending moment, normal thrust and shears at 4m and 15m from the left end
2. A two hinged parabolic arch of span 30m and rise 6m carries a uniformly distributed load of
20kN/m covering a distance of 12m from left end. Find the horizontal thrust and the reactions
at the two supports. Also calculate the maximum hogging moment in the arch
3. State the assumptions made in cantilever method of frame analysis. Analyze the frame shown
below by cantilever method and draw the bending moment diagram. Assume that interior
columns are having cross sectional area thrice than that of exterior columns
4. A suspension bridge of 120m span has two, two-hinged stiffening girders supported by two
cables, having a central dip of 12m.The dead load on the bridge is 0.5t per sq. meter and the
live load is 2 t per sq. meter, which covers the left half of the span. Determine the shear force
and bending moment at 25m from the left end. Find also the maximum tension for this position
of the live load
5. A single bay single storey portal frame ABCD is fixed at A and hinged at D. AB and DC are
the two columns and BC is the beam. The two columns are of equal height and the height is
3.5mspan of the beam BC is 4.5m. A uniformly distributed load of 30kN/m is acting on the
whole span BC. All members have the same flexural rigidity. Calculate the support reactions
and also draw the bending moment diagram for the portal frame. Use moment distribution
method.
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Code No: R31015
R10
Set No: 2
6. Analyze the continuous beam shown in figure below by using Kani’s method. Also draw
bending moment diagram
7. A two span continuous beam ABC rests on simple supports at A,B and C. All the three
supports are at same level. The span AB=8m and span BC=6m. The span AB carries a
uniformly distributed load of 45 kN/m and span BC carries a central point load of 78kN. EI is
constant for the whole beam. Find the moments and reactions at all the support using flexibility
method
8. A two span continuous beam ABC is fixed at A and C and rests on simple support at B. All the
three supports are at same level. The span AB=4.8m and span BC=6.8m. The span AB carries
a uniformly distributed load of 76kN/m and span BC carries a central point load of 80kN. EI is
constant for the whole beam. Find the moments and reactions at all the support using stiffness
method.
**
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Code No: R31015
R10
Set No: 3
III B.Tech. I Semester Supplementary Examinations, June/July -2014
STRUCTURAL ANALYSIS-II
(Civil Engineering)
Time: 3 HoursMax Marks: 75
Answer any FIVE Questions
All Questions carry equal marks
**
1. A semi circular arch of radius “R” subjected to a UDL of w/m length over the entire span.
Assuming EI to constant determine the horizontal thrust.
2. A two hinged parabolic arch of span 20m and rise 4m carries a uniformly distributed load of
20kN/m on the whole span. Find the horizontal thrust and the reactions at the two supports. If
now one support yields laterally with respect to the other support by 0.02. What will be the
horizontal thrust? Take E=200kN/mm2 and Io=1.7x107 mm4.
3. (a) State the assumptions made in the methods of analysis of building frames subjected to
lateral loads by (i) Portal method (ii) Cantilever method
(b) Explain the method of analysis of building frame subjected to lateral loads at joints by portal method and cantilever method.
4. A cable having a span of 100 m and a dip of 10 m is subjected to a rise of temperature of 100c.
The cable supports a total load of 2.5 t/m run of the horizontal span. Find the change in the
tension due to the rise of temperature. Take α=12 x 10-6 /0C.
5. Evaluate the bending moment and shear force diagrams of beam in figure by moment
distribution method.
6. A two span continuous beam ABC rests on simple supports at A,B and C. All the three
supports are at same level. The span AB=4.7m and span BC=3.7m. The span AB carries a
uniformly distributed. load of 10kN/m and span BC carries a central point load of 15kN. EI is
constant for the whole beam. Find the moments and reactions at all the supports and draw the
bending moment diagram using Kani’s method.
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Code No: R31015
R10
Set No: 3
7. Using flexibility method of analysis find the support moments for the two-span continuous
beam loaded as shown in figure 7. Sketch the BMD. (EI=Constant)
8. A two span continuous beam ABC is fixed at A and C and rests on simple support at B. All the
three supports are at same level. The span AB=4.5m and span BC=6.3m. The span AB carries
a uniformly distributed load of 48kN/m and span BC carries a central point load of 75kN. EI is
constant for the whole beam. Find the moments and reactions at all the support using stiffness
method.
**
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Code No: R31015
R10
Set No: 4
III B.Tech. I Semester Supplementary Examinations, June/July -2014
STRUCTURAL ANALYSIS-II
(Civil Engineering)
Time: 3 HoursMax Marks: 75
Answer any FIVE Questions
All Questions carry equal marks
**
1. A parabolic arch hinged at the springings and the crown has a span of 10 m. The central rise of
the arch is 2.5 m. It is loaded with a uniformly distributed load of intensity 16 kN/m on the left
5 m length. Determine the internal forces and the resultant forces at the point 2.5 m from the
left support.
2. A two hinged parabolic arch of span 35m and rise 8m carries a uniformly distributed load of
24kN/m covering a distance of 15m from left end. Find the horizontal thrust and the reactions
at the two supports. Also calculate the maximum hogging moment in the arch.
3. Analyse the frame shown in figure, by Cantilever method. Assume that all the columns have
equal area of cross-section for the purpose of analysis
4. A cable of span 100m and a dip of 5m , is subjected to a rise of temperature of 150c. Find the
increase in dip due to the rise of temperature. Take α=12x10-6 per 0c.
5. A single bay single storey portal frame ABCD is fixed at A and hinged at D. AB and DC are
the two columns and BC is the beam. The two columns are of equal height and the height is
5.5m. The span of the beam BC is 6.5m. A uniformly distributed load of 58kN/m is acting on the whole span BC. All members have the same flexural rigidity. Calculate the support reactions and also draw the bending moment diagram for the portal frame. Use moment distribution method.
6. Analyse the continuous beam shown in figure, by Kani’s method and sketch the B.M diagram
gives all the salient values
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Code No: R31015
R10
Set No: 4
7. A two span continuous beam ABC rests on simple supports at A,B and C. All the three
supports are at same level. The span AB=8.4m and span BC=6.4m. The span AB carries a
uniformly distributed load of 40kN/m and span BC carries a central point load of 100kN. EI is
constant for the whole beam. Find the moments and reactions at all the support using flexibility
method.
8. Using stiffness method find the support moments for the two-span continuous beam loaded as
shown in figure, and sketch the B.M. and S.F.D. (EI=constant).
**
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