This set of Structural Analysis Questions and Answers for Entrance exams focuses on ” Analysis of Beams-3″.

A and C are fixed supports. B is a roller. A distributed load is acting on beam BC with peak at C being 6N/ft. AB is 8 ft. while BC is 6ft. Take EI as constant.

All moments options are in N-ft.

1. What will be the value of mCB, after solving these equations?

a) 3.09

b) 1.54

c) 12.86

d) -3.09

View Answer

Explanation: Just substitute the value of rotation at point B in 4th equation.

2. What will be the value of mBA, after solving these equations?

a) 3.09

b) 1.54

c) 12.86

d) -3.09

View Answer

Explanation: It will be inverse of mBC as shown above.

3. What will be the shear at point A?

a) -0.379

b) 0.479

c) -0.579

d) 0.679

View Answer

Explanation: Just conserve moment in beam AB about point B.

4. What will be the shear at point C?

a) -11.86

b) 12.86

c) -13.86

d) 14.86

View Answer

Explanation: Just conserve moment in beam BC about point B.

5. What will be the support reaction at point B?

a) 4.95

b) -5.95

c) 3.65

d) can’t say

View Answer

Explanation: Find shear at point B in both beam AB and BC and then cut a small part near support B and conserve force in vertical direction.

A is a fixed support, while B and C are roller supports. Uniformly distributed load of 2KN/m is acting on span AB. Load of 12 kN acts at a point between B and C. AB = 24m, BC = 8m. Load of 24KN acts at centre of BC.

All moment options are given in kN-M.

6. How many separate parts will be required for this question?

a) 0

b) 1

c) 2

d) 3

View Answer

Explanation: Since, 3 supports are there we will divide it into 2 separate parts to solve.

7. What is FEM of point A in beam AB?

a) 18

b) -18

c) 96

d) -96

View Answer

Explanation: Formula for moment for unit load applied at mid point is WL

^{2.12}and direction will be anti clockwise.

8. What is FEM of point C in beam BC if we assume beam BC to be fixed?

a) 12

b) -12

c) 36

d) -36

View Answer

Explanation: Formula for moment for unit load applied at mid point is PL/8 and direction will be clockwise at point C.

9. What will be the end moment at point B in beam BC?

a) 18

b) -18

c) 96

d) -96

View Answer

Explanation: Formula for moment for unit load applied at mid point is WL^2.12 and direction will be clockwise.

10. What will be the end moments at point B in beam BC if beam BC is considered to be fixed at support B and pin supported at support C?

a) 18

b) -18

c) 96

d) -96

View Answer

Explanation: In that case, moment at C will be zero and half of that moment will be transferred to point B.

11. What will be the deflection of beam AB?

a) 0

b) 1/EI

c) 2/EI

d) can’t say

View Answer

Explanation: As, point A is a fixed support, it won’t allow any deflection to take place.

12. What will be the deflection of beam BC?

a) 0

b) 1/EI

c) 2/EI

d) can’t say

View Answer

Explanation: As, point B is a fixed support, it won’t allow any deflection to take place.

13. What will be the rotation of beam AB at point A?

a) 0.2

b) -0.2

c) 0

d) can’t say

View Answer

Explanation: There won’t be any rotation at point A as it is a fixed support.

14. What will be the rotation of beam BC at point C?

a) 0.2

b) -0.2

c) 0

d) it will depend upon the rotation of beam BC at point B

View Answer

Explanation: According to equations, it will depend upon the rotation of beam BC at point C.

15. After using all the joint conditions, how many unknowns are still left?

a) 0

b) 1

c) 2

d) 3

View Answer

Explanation: Rotation at point B in either of beam is not known (they are both equal).

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