# Structural Analysis Questions and Answers – Analysis of Frames : No Sidesway-IV

This set of Basic Structural Analysis Questions and Answers focuses on “Analysis of Frames : No Sidesway-IV”.

AB = BC = CD = 20m
All moment options are given in KN/m and all rotations in rad.
EI is constant.

1. How many deflection unknowns will be there in this case for which we would need equations?
a) 0
b) 1
c) 2
d) 3

Explanation: Initially, there will be 3 displacement unknowns, but all of them will come out to be zero as it is non-sway frame.

2. How many unknowns will be left finally which are non-zero?
a) 0
b) 1
c) 2
d) 3

Explanation: Rotation at points B and C will be left finally to be calculated from equations.

3. How many total slope deflection equations will be written in this question?
a) 8
b) 6
c) 4
d) 3

Explanation: 3 members are there and non joint has a zero moment, so there will be 6 sde equations.

4. What will be the FEMAB ?
a) 80
b) -80
c) 0
d) 160

Explanation: No load is acting on the member AB and same goes for member CD.
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5. Which of the following set of points should be chosen to generate extra equations?
a) A and B
b) B and C
c) C and D
d) D and A

Explanation: All unknown will come in account if we conserve moment about points B and C.

6. What will be one of the extra condition, which we will get if we conserve moment near joint B?
a) mBA + mCA = 0
b) mBA + mCB = 0
c) mBA + mBC = 0
d) mAB + mBC = 0

Explanation: Just cut a small part near joint B and conserve moment around that joint.

7. What will be one of the extra condition, which we will get if we conserve moment near joint C?
a) mBA + mCA = 0
b) mBA + mCB = 0
c) mBA + mBC = 0
d) mCD + mCB = 0

Explanation: Just cut a small part near joint B and conserve moment around that joint.

8. What will be the value of rotation at point B?
a) 22.2/EI
b) -22.2/EI
c) 0
d) 100/EI

Explanation: Just use both equations as given above.

9. What will be the value of rotation at point C?
a) 22.2/EI
b) -22.2/EI
c) 0
d) 100/EI

Explanation: Just use both equations as given above.

10. What will be the value of mAB?
a) 22.2
b) 44.4
c) -44.4
d) -22.2

Explanation: Just substitute the value of rotation at point B in sde equation.

11. What will be the value of mBA?
a) 22.2
b) 44.4
c) -44.4
d) -22.2

Explanation: Just substitute the value of rotation at point B in sde equation.

12. What will be the value of mBC?
a) 22.2
b) 44.4
c) -44.4
d) -22.2

Explanation: Just substitute the value of rotation at point B and at point C in sde equation.

13. What will be the value of mCB?
a) 22.2
b) 44.4
c) -44.4
d) -22.2

Explanation: Just substitute the value of rotation at point B and at point C in sde equation.

14. What will be the value of mCD?
a) 22.2
b) 44.4
c) -44.4
d) -22.2

Explanation: Substitute the value of rotation at point C in equation.

15. What will be the value of mDC?
a) 22.2
b) 44.4
c) -44.4
d) -22.2

Explanation: Substitute the value of rotation at point C in equation.

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