Structural Analysis Questions and Answers - Qualitative Influence Lines

Directions to solve : While writing influence line equations, left most point is always considered as origin and following sign convention is followed.
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Data for Questions 1 to 3 : A is a pin support, B is a hinge, C and D are roller type support.
AB = BC = 1m, CD = 2m
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1.If we draw ILD of shear at appoint just right to point C, then what will be its slope at BC part of beam?
a) 0.5
b) -.5
c) 1
d) -1

Answer: b
Explanation: Slope of ILD in part CD of beam will be -0.5 as initially it will be at 1 and finally at 0. Now, due to Muller-Breslau principle, both lines will be parallel.

2. If we draw ILD for shear at a point E (lying in between points C & D), then at how many points would his curve attain its peak?
a) 1
b) 2
c) 3
d) 4

Answer: b
Explanation: At E, value will be +0.5 and since slope of two lines will be parallel, value of ILD at B too will be 0.5.

3.What will be the lowest point of ILD curve for moment at a point just left to point C?
a) -1
b) -2
c) -3
d) -4

Answer: b
Explanation: For moment, we rotate it by 1 rad. So, min. point will be -2 at hinge B as after that the curve will change its slope

Data for Questions 4 to 7 : Point A is fixed support, B and D are hinges and C and E are pin roller supports.
AB = BC = CD = DE=1m
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4. What will be the equation for ILD of vertical reaction at point A for AB part of beam?
a) 1X
b) 2X
c) 1
d) 2

Answer: c
Explanation: Since, point A is a fixed support, ILD will be parallel to x axis.

5. What will be the maximum point of ILD of vertical reaction at point C?
a) 1
b) 2
c) 3
d) 4

Answer: b
Explanation: It will be 1 at point C and will be 2 at point D after which it will change its slope as D is a hinge.

6.What will be the area under the ILD curve if we make it for the vertical reaction at a point just left to point C?
a) 1
b) 1.5
c) 2
d) 2.5

Answer: b
Explanation: It will be a triangle with base 2m and height 1 for CE and triangle with base 1 and height 1 for BC. It will be 0 for AB as A is a fixed support.

7. What will be the area under the ILD curve if we make it for the vertical reaction at a point just right to point C?
a) 1
b) 1.5
c) 2
d) 4

Answer: b
Explanation: It will be a triangle with 1*1 dimension for CD and a triangle with base 1 and height 1 for DE. It will be 0 for rest of the beam.

8. Floor loads are transmitted from slabs to which part in a floor girder system?
a) Floor beams
b) Side girders
c) Supporting columns
d) Nowhere

Answer: a
Explanation: Loads get transmitted to floor beams after slabs.

9. Which part transmits floor loads to side girders in a floor girder system?
a) Floor beams
b) Slabs
c) Supporting columns
d) Nowhere

Answer: a
Explanation: Floor beams transmit loads to side girder.

10. Supporting columns are last element of load transfer in a floor girder system.
a) True
b) False

Answer: a
Explanation: Support columns receives floor load at last of the transfer chain.