# Test: Conjugate-Beam Method - 2

## 14 Questions MCQ Test Structural Analysis I | Test: Conjugate-Beam Method - 2

Description
This mock test of Test: Conjugate-Beam Method - 2 for Civil Engineering (CE) helps you for every Civil Engineering (CE) entrance exam. This contains 14 Multiple Choice Questions for Civil Engineering (CE) Test: Conjugate-Beam Method - 2 (mcq) to study with solutions a complete question bank. The solved questions answers in this Test: Conjugate-Beam Method - 2 quiz give you a good mix of easy questions and tough questions. Civil Engineering (CE) students definitely take this Test: Conjugate-Beam Method - 2 exercise for a better result in the exam. You can find other Test: Conjugate-Beam Method - 2 extra questions, long questions & short questions for Civil Engineering (CE) on EduRev as well by searching above.
QUESTION: 1

### B is a hinge support and C is roller support. A and D are free ends. A load of 60 KN acts in downward direction at point D. Sign conventions are as usual. AB = CD = 1m and BC = 3m All force options are in kN. All moment options are in KNM. All deformation options are in M. E and I are given. Q.  What will be the reaction force at support C?

Solution:

Explanation: Balance moment about point B.

QUESTION: 2

### B is a hinge support and C is roller support. A and D are free ends. A load of 60 KN acts in downward direction at point D. Sign conventions are as usual. AB = CD = 1m and BC = 3m All force options are in kN. All moment options are in KNM. All deformation options are in M. E and I are given. Q.  What will be the shape of SFD in this case?

Solution:

Explanation: Since loads are not uniform, SFD will be linear and support at point C and B will lead to discontinuity.

QUESTION: 3

### B is a hinge support and C is roller support. A and D are free ends. A load of 60 KN acts in downward direction at point D. Sign conventions are as usual. AB = CD = 1m and BC = 3m All force options are in kN. All moment options are in KNM. All deformation options are in M. E and I are given. Q.  What is the shape of BMD for this diagram?

Solution:

Explanation: It will be 0 till point B, and then will increase till C and then again decrease till D (every time linearly), thus making it triangular

QUESTION: 4

B is a hinge support and C is roller support. A and D are free ends. A load of 60 KN acts in downward direction at point D. Sign conventions are as usual.
AB = CD = 1m and BC = 3m
All force options are in kN.
All moment options are in KNM.
All deformation options are in M.
E and I are given. Q.  What will be the peak value of SFD?

Solution:

Explanation: It will decrease to 20 at point B and then increase by 80 at point C and then will remain constant. So, peak value will be 80-20 i.e. 60KN.

QUESTION: 5

B is a hinge support and C is roller support. A and D are free ends. A load of 60 KN acts in downward direction at point D. Sign conventions are as usual.
AB = CD = 1m and BC = 3m
All force options are in kN.
All moment options are in KNM.
All deformation options are in M.
E and I are given. Q.  Where would peak value of BMD lie?

Solution:

Explanation: It will be 0 till point B, and then will increase till C and then again decrease till D (every time linearly), thus making it triangular.

QUESTION: 6

B is a hinge support and C is roller support. A and D are free ends. A load of 60 KN acts in downward direction at point D. Sign conventions are as usual.
AB = CD = 1m and BC = 3m
All force options are in kN.
All moment options are in KNM.
All deformation options are in M.
E and I are given. Q.  Which type of joint would replace point A in its conjugate beam?

Solution:

Explanation: Since point A is a free end, a fixed joint would replace it in the conjugate beam.

QUESTION: 7

How many fixed joint will be there in conjugate beam?

Solution:

Explanation: Since there are 2 fixed ends in initial beam, there will be two fixed joints.

QUESTION: 8

B is a hinge support and C is roller support. A and D are free ends. A load of 60 KN acts in downward direction at point D. Sign conventions are as usual.
AB = CD = 1m and BC = 3m
All force options are in kN.
All moment options are in KNM.
All deformation options are in M.
E and I are given. Q.  What will be the shear developed at hinge B in conjugate beam?

Solution:

Explanation: Balance moment about point C in the beam BC.

QUESTION: 9

B is a hinge support and C is roller support. A and D are free ends. A load of 60 KN acts in downward direction at point D. Sign conventions are as usual.
AB = CD = 1m and BC = 3m
All force options are in kN.
All moment options are in KNM.
All deformation options are in M.
E and I are given. Q.  What will be the shear developed at hinge C in conjugate beam?

Solution:

Explanation: Balance moment about point B in the beam BC.

QUESTION: 10

B is a hinge support and C is roller support. A and D are free ends. A load of 60 KN acts in downward direction at point D. Sign conventions are as usual.
AB = CD = 1m and BC = 3m
All force options are in kN.
All moment options are in KNM.
All deformation options are in M.
E and I are given. Q.  What will be the modulus of slope at point A?

Solution:

Explanation: Just balance shear forces in the conjugate beam AB.

QUESTION: 11

B is a hinge support and C is roller support. A and D are free ends. A load of 60 KN acts in downward direction at point D. Sign conventions are as usual.
AB = CD = 1m and BC = 3m
All force options are in kN.
All moment options are in KNM.
All deformation options are in M.
E and I are given. Q.  What will be the modulus of slope at point D?

Solution:

Explanation: Just balance shear forces in the conjugate beam CD after balancing moment.

QUESTION: 12

B is a hinge support and C is roller support. A and D are free ends. A load of 60 KN acts in downward direction at point D. Sign conventions are as usual.
AB = CD = 1m and BC = 3m
All force options are in kN.
All moment options are in KNM.
All deformation options are in M.
E and I are given. Q.  What will be the modulus of deflection of point A?

Solution:

Explanation: Balance moment about point B in beam AB.

QUESTION: 13

B is a hinge support and C is roller support. A and D are free ends. A load of 60 KN acts in downward direction at point D. Sign conventions are as usual.
AB = CD = 1m and BC = 3m
All force options are in kN.
All moment options are in KNM.
All deformation options are in M.
E and I are given. Q.  What will be the modulus of deflection of point D?

Solution:

Explanation: Balance moment about point C in beam CD.

QUESTION: 14

B is a hinge support and C is roller support. A and D are free ends. A load of 60 KN acts in downward direction at point D. Sign conventions are as usual.
AB = CD = 1m and BC = 3m
All force options are in kN.
All moment options are in KNM.
All deformation options are in M.
E and I are given. There won’t be any hinge in the conjugate beam.
State whether the above statement is true or false.

Solution: