This set of Structural Analysis Multiple Choice Questions & Answers (MCQs) focuses on “Analysis of Frames : No Sidesway-III”.
1. In a frame with fixed supports at points A and C, a clockwise moment M acts at point B. If AB = BC = L and EI is constant throughout the frame, what is the value of moment MBA at point B acting towards A?
a) M/4
b) –M/4
c) M/2
d) –M/2
View Answer
Explanation: By conserving moment at joint B, MBA = M/2.
2. For a frame with fixed supports at A and C, a clockwise moment applied at B, and AB = BC = L with EI constant, what is the value of moment MBC at point B acting towards C?
a) M/4
b) –M/4
c) M/2
d) –M/2
View Answer
Explanation: Value of Mba and Mbc will be numerically equal as they both yield exact same equations.
3. Consider a frame with fixed supports at A and C and a clockwise moment M at B. For AB = BC = L and constant EI, what will be the moment MAB at point A acting towards B?
a) M/4
b) –M/4
c) M/2
d) –M/2
View Answer
Explanation: Since end A is fixed, half of Mba will be transferred to point A and its direction will remain same.
4. In a frame with fixed supports at A and C and a clockwise moment M acting at B, with AB = BC = L and EI constant, what is the value of moment Mcb at point C acting towards B?
a) M/4
b) –M/4
c) M/2
d) –M/2
View Answer
Explanation: Since end C is fixed, half of Mbc will be transferred to point A and its direction will remain same.
5. For a frame with fixed supports at points A and C, a clockwise moment M at B, and AB = BC = L with EI constant, what is the rotation at point B?
a) ML/EI
b) ML/2EI
c) ML/4EI
d) ML/8EI
View Answer
Explanation: Just equate any of Mbc or Mba with its value.
6. In a frame with AB = BC = L, fixed supports at A and C, and a clockwise moment M at B, what is the vertical reaction force at point A?
a) M/4L
b) 4M/L
c) -3M/4L
d) M/2L
View Answer
Explanation: By isolating member AB and conserving moment about point B, the vertical force at A is -3M/4L.
7. For a frame with fixed supports at A and C and a clockwise moment M at B, with AB = BC = L and EI constant, what is the vertical reaction force at point C?
a) M/4L
b) 4M/L
c) 3M/4L
d) M/2L
View Answer
Explanation: Conserving vertical force for the entire frame yields 3M/4L as the vertical force at C.
8. In a frame with AB = BC = L, fixed supports at A and C, and a clockwise moment M at B, what is the horizontal reaction force at point C?
a) M/4L
b) -3M/4L
c) 3M/4L
d) M/2L
View Answer
Explanation: By isolating member BC and conserving moment about point B, the horizontal force at C is 3M/4L.
9. For a frame with fixed supports at points A and C, and a clockwise moment M at B, where AB = BC = L and EI constant, what is the horizontal reaction force at point A?
a) M/4L
b) -3M/4L
c) 3M/4L
d) M/2L
View Answer
Explanation: By considering the horizontal force equilibrium in the frame, the horizontal force at A is -3M/4L.
10. In a symmetrical frame with supports, members, and loading distributed evenly across the frame, and where AB = BC = CD = 20 m, is this frame a sway frame?
a) true
b) false
View Answer
Explanation: This frame is a non-sway frame because all supports, members, and loading are symmetrical.
11. For a symmetrical frame with AB = BC = CD = 20 m and constant EI, if the EI value of the right frame member is doubled compared to the left, would the frame become a sway frame?
a) true
b) false
View Answer
Explanation: With unequal stiffness, symmetry is broken, causing the frame to deflect and become a sway frame.
12. In a frame with members AB = BC = CD = 20 m, constant EI, and non-sway configuration, what is the fixed end moment (FEM) at point B on member BC due to a load?
a) 66.7
b) -66.7
c) -160
d) 160
View Answer
Explanation: For this loading condition, the FEM is calculated as PL2/12 with an anticlockwise direction.
13. In a non-sway frame where AB = BC = CD = 20 m and EI is constant, what is the fixed end moment (FEM) at point C on member CB due to symmetrical loading?
a) 66.7
b) -66.7
c) -160
d) 160
View Answer
Explanation: The FEM for symmetrical loading is PL2/12 with a clockwise direction at point C.
14. In a non-sway frame with supports at points A and D, members AB = BC = CD = 20 m, and EI constant, what will be the rotation at point A if it is a fixed support?
a) 137.1/EI
b) -137.1/EI
c) 0
d) 100/EI
View Answer
Explanation: As a fixed support, point A will not have any rotation.
15. In a symmetrical, non-sway frame with fixed supports at points A and D, and member lengths AB = BC = CD = 20 m, what will be the rotation at fixed support point D?
a) 137.1/EI
b) -137.1/EI
c) 0
d) 100/EI
View Answer
Explanation: Point D is fixed, so there will be no rotation at that point.
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