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This mock test of Test: Moment Area Theorems - 2 for Civil Engineering (CE) helps you for every Civil Engineering (CE) entrance exam.
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QUESTION: 1

Point A is pin joint and B is roller. A load of 40KN is applied at point C.

Length of AC is 2m and d same goes for beam CB.

What is the shape for SFD of this diagram?

Solution:

Answer: c

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

QUESTION: 2

Point A is pin joint and B is roller. A load of 40KN is applied at point C.

Length of AC is 2m and d same goes for beam CB.

**Q. ** What is the shape of BMD for this diagram?

Solution:

Answer: b

Explanation: It will increase till point C and then will start decreasing and in both cases linearly.

QUESTION: 3

Point A is pin joint and B is roller. A load of 40KN is applied at point C.

Length of AC is 2m and d same goes for beam CB.

**Q. ** Where is the peak point of SFD?

Solution:

Answer: a

Explanation: Value of shear force at point A is +20KN which is the maximum for this case.

QUESTION: 4

Length of AC is 2m and d same goes for beam CB.

**Q. ** What is the peak value of BMD of this figure (all options are in KN-m)?

Solution:

Answer: d

Explanation: At point A BM will be 0 and hen will start increasing till point C where its value will be 40/EI i.e. the area between SFD till that point.

QUESTION: 5

Length of AC is 2m and d same goes for beam CB.

**Q. ** What should be the area that should be considered if we want to find slope at point B wrt initial beam?

Solution:

Answer: c

Explanation: If we thee deflected diagram of this figure, we will find that slope at point C will be zero as from that point, BM starts decreasing. So we should consider area between point C and B for slope wrt initial beam.

QUESTION: 6

Length of AC is 2m and d same goes for beam CB.

**Q. **What is the value of slope at point B wrt initial beam?

Solution:

Answer: d

Explanation: Just calculate the area between point C and point B.

QUESTION: 7

Length of AC is 2m and d same goes for beam CB.

**Q. ** To calculate maximum deformation in the deflected beam, which part of the area should be considered?

Solution:

Answer: b

Explanation: Maximum deformation happens at point C and slope of C is zero i.e. tangent is parallel to initial beam. This property of point C can be used to calculate maximum deformation.

QUESTION: 8

Length of AC is 2m and d same goes for beam CB.

**Q. ** To calculate maximum deformation in deflected beam, about which point should we take moment of the required part of area?

Solution:

Answer: a

Explanation: Tangent at point A is at point A as there is no vertical deflection there and tangent of point C is parallel to initial beam. So, the length at which it will cut point A vertically will be the maximum deformation.

QUESTION: 9

Length of AC is 2m and d same goes for beam CB.

**Q. **What is the value of maximum deformation in this case?

Solution:

Answer: a

Explanation: Just take area between point A and C and calculate moment about point A.

QUESTION: 10

Length of AC is 2m and d same goes for beam CB.

**Q. **To calculate relative deflections of tangents at point A and B at point B, about which point should we moment of the required part of area?

Solution:

Answer: b

Explanation: This is the basic second theorem of moment-area theorem.

QUESTION: 11

Length of AC is 2m and d same goes for beam CB.

**Q. **To calculate relative deflections of tangents at point A and B at point B, which part of area should be considered?

Solution:

Answer: a

Explanation: This is the basic first theorem of the moment-area theorem.

QUESTION: 12

Length of AC is 2m and d same goes for beam CB.

**Q. **What will be the value of relative deflections of tangents at point A and B at point B?

Solution:

Answer: c

Explanation: On doing the steps suggested in Q11 and Q10, we will get this result.

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