This set of Structural Analysis Multiple Choice Questions & Answers (MCQs) focuses on “Analysis of Frames : No Sidesway-IV”.
1. In a non-sway frame with members AB = BC = CD = 20 m and constant EI, how many deflection unknowns need to be determined for equilibrium?
a) 0
b) 1
c) 2
d) 3
View Answer
Explanation: Although there are initially 3 displacement unknowns, they all equal zero due to the frame’s non-sway nature.
2. For a non-sway frame with members AB = BC = CD = 20 m and constant EI, how many unknowns remain that are non-zero after simplifying equations?
a) 0
b) 1
c) 2
d) 3
View Answer
Explanation: Rotations at points B and C are the two unknowns that remain for calculation.
3. In a non-sway frame with AB = BC = CD = 20 m and constant EI, how many total slope-deflection equations are required for equilibrium?
a) 8
b) 6
c) 4
d) 3
View Answer
Explanation: With 3 members and fixed supports, a total of 6 slope-deflection equations are needed.
4. For a frame with members AB = BC = CD = 20 m and constant EI, what is the fixed-end moment (FEM) of member AB?
a) 80
b) -80
c) 0
d) 160
View Answer
Explanation: Since no load acts on AB or CD, the fixed-end moment for these members is zero.
5. In a frame with members AB = BC = CD = 20 m and constant EI, which pair of points should be selected to derive extra equations for unknowns?
a) A and B
b) B and C
c) C and D
d) D and A
View Answer
Explanation: Choosing points B and C allows accounting for all unknowns through moment conservation.
6. In a non-sway frame with AB = BC = CD = 20 m, which condition holds if moment is conserved near joint B?
a) mBA + mCA = 0
b) mBA + mCB = 0
c) mBA + mBC = 0
d) mAB + mBC = 0
View Answer
Explanation: A small segment near joint B reveals that mBA + mBC = 0 through moment conservation.
7. In a frame with AB = BC = CD = 20 m and constant EI, which condition holds if moment is conserved near joint C?
a) mBA + mCA = 0
b) mBA + mCB = 0
c) mBA + mBC = 0
d) mCD + mCB = 0
View Answer
Explanation: A small segment near joint C shows that mCD + mCB = 0 when moment is conserved.
8. What is the rotation at point B for a frame with members AB = BC = CD = 20 m and constant EI?
a) 22.2/EI
b) -22.2/EI
c) 0
d) 100/EI
View Answer
Explanation: By substituting values into the slope-deflection equations, the rotation at B is calculated.
9. In a non-sway frame with members AB = BC = CD = 20 m, what is the rotation at point C?
a) 22.2/EI
b) -22.2/EI
c) 0
d) 100/EI
View Answer
Explanation: Using the equations, the rotation at C is found to be negative, -22.2/EI
10. For a frame with AB = BC = CD = 20 m, what is the moment at point A on member AB if rotation occurs at B?
a) 22.2
b) 44.4
c) -44.4
d) -22.2
View Answer
Explanation: Substitute the rotation value at B into the slope-deflection equation to determine mAB.
11. In a frame with members AB = BC = CD = 20 m, what is the moment at point B on member AB if rotation occurs at B?
a) 22.2
b) 44.4
c) -44.4
d) -22.2
View Answer
Explanation: Use the slope-deflection equation to calculate mBA based on rotation at B.
12. For a frame with AB = BC = CD = 20 m, what is the moment at point B on member BC if rotations occur at B and C?
a) 22.2
b) 44.4
c) -44.4
d) -22.2
View Answer
Explanation: Calculate mBC by substituting rotations at B and C into the slope-deflection equation.
13. In a frame with AB = BC = CD = 20 m, what is the moment at point C on member CB if rotations occur at B and C?
a) 22.2
b) 44.4
c) -44.4
d) -22.2
View Answer
Explanation: Substitute the rotation values at B and C to determine mCB using the slope-deflection equation.
14. In a frame with members AB = BC = CD = 20 m, what is the moment at point C on member CD if rotation occurs at C?
a) 22.2
b) 44.4
c) -44.4
d) -22.2
View Answer
Explanation: Substitute the rotation value at C to find mCD using the slope-deflection equation.
15. In a frame with members AB = BC = CD = 20 m, what is the moment at point D on member CD if rotation occurs at C?
a) 22.2
b) 44.4
c) -44.4
d) -22.2
View Answer
Explanation: Using the rotation at C, substitute into the equation to determine mDC.
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