This set of Structural Analysis Multiple Choice Questions & Answers (MCQs) focuses on “Analysis of Beams-5”.
1. How many separate parts will be required to solve a structure with 4 supports (A and B as fixed supports, B and C as roller supports, with roller support at C pushed downward by 0.1 m)?
a) 0
b) 1
c) 2
d) 3
View Answer
Explanation: Since there are 4 supports (A, B, C, D), the structure will be divided into 2 separate parts for analysis: one part between A and B, and another part between B and C.
2. What is the FEM (Force or Moment) at point B in a beam with supports at points A and B (A and B being fixed and roller, respectively), and beam length AB = 24m?
a) 7.2
b) -7.2
c) 10.8
d) 0
View Answer
Explanation: No force is acting on the beam between A and B, so the FEM at point B is 0.
3. What is the FEM at point C in a beam with roller supports at points B and C (beam length BC = 20m)?
a) 7.2
b) 0
c) 10.8
d) -10.8
View Answer
Explanation: No external force is acting on the beam between B and C, so the FEM at point C is 0.
4. What will be the FEM at point A in a beam with a fixed support at A (AB = 24m), and roller support at B?
a) 453.1
b) -453.1
c) 72
d) -72
View Answer
Explanation: The formula for the moment due to a unit load applied at the midpoint of the beam is WL2/12, and the direction is counterclockwise. Given that AB = 24m, this calculation results in a moment of -72 kNm.
5. What will be the FEM at point B in a beam with fixed support at A (AB = 24m), and roller support at B?
a) 453.1
b) -453.1
c) 72
d) -72
View Answer
Explanation: The formula for the moment due to a unit load applied at the midpoint of the beam is WL2/12, and the direction is clockwise. Given that AB = 24m, this calculation results in a moment of 72 kNm.
6. What will be the deflection of the beam with a fixed support at point A (AB = 24m)?
a) 0
b) 1/EI
c) 2/EI
d) can’t say
View Answer
Explanation: Since point A is a fixed support, it won’t allow any deflection at that point.
7. What will be the deflection of the beam with roller supports at points B and C (BC = 20m) and a displacement of 0.1m at point C?
a) -.1
b) .1
c) 0.005
d) -0.005
View Answer
Explanation: The deflection will be 0.1m and positive, as the beam rotates clockwise at point C. The deflection calculation is based on the downward displacement at C.
8. What will be the rotation of the beam at point A if point A is a fixed support (AB = 24m)?
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.
9. What will be the rotation of the beam at point D if point D is a fixed support (CD = 15m)?
a) 0.2
b) -0.2
c) 0
d) can’t say
View Answer
Explanation: There won’t be any rotation at point D as it is a fixed support.
10. After applying all the joint conditions, how many unknowns will still be left in the system? (Assuming rotations at points B and C are not yet known and beam lengths AB = 24m, BC = 20m, CD = 15m)
a) 0
b) 1
c) 2
d) 3
View Answer
Explanation: The rotations at points B and C are still unknown (they are equal).
11. What will be the additional condition derived by conserving the moment at joint B in the beam system (with AB = 24m, BC = 20m)?
a) mBA + mCA = 0
b) mBA + mCB = 0
c) mBA + mBC = 0
d) mAB + mBC = 0
View Answer
Explanation: By cutting a small section near joint B and conserving the moment around that joint, we get mBA + mBC = 0.
12. How many total equations will be generated in the analysis of the system with three separate fixed beams (AB = 24m, BC = 20m, CD = 15m)?
a) 3
b) 4
c) 5
d) 6
View Answer
Explanation: Since three separate fixed beams are considered, a total of 6 equations will be generated.
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