This set of Structural Analysis Multiple Choice Questions & Answers (MCQs) focuses on “Analysis of Frames : No Sidesway-I”.
1. A frame with segments AB = 12m and BC = 8m has symmetrical supports, members, and loading. The statement, “This beam is a sway frame,” is given. State whether this statement is true or false.
a) true
b) false
View Answer
Explanation: This is a non-sway frame because all supports, members, and loading are symmetrical.
2. A frame with segments AB = 12m and BC = 8m has symmetrical supports, members, and loading, if the EI value of the right member (BC) becomes twice that of the left member (AB), will the frame become a sway frame?
a) true
b) false
View Answer
Explanation: With differing EI values, the frame’s symmetry is broken, causing lateral deflection, which results in sway.
3. For a symmetrical frame with segments AB = 12m and BC = 8m, and constant EI, what is the Fixed End Moment (FEM) for segment BC, assuming a load applied at B?
a) 80
b) -80
c) -160
d) 160
View Answer
Explanation: The formula for FEM in this type of loading is \(\frac{5wL^2}{96}\), with the direction being anticlockwise.
4. For a symmetrical frame with segments AB = 12m and BC = 8m, and constant EI, what is the Fixed End Moment (FEM) for segment CB?
a) 80
b) -80
c) -160
d) 160
View Answer
Explanation: The FEM formula is \(\frac{5wL^2}{96}\), and for this case, the direction of the moment is clockwise.
5. In a frame with segment AB = 12m, with point A as a fixed support, what is the rotation at point A?
a) 137.1/EI
b) -137.1/EI
c) 0
d) 100/EI
View Answer
Explanation: Since point A is a fixed support, there will be no rotation at this point.
6. In a frame with segment CD = 12m, with point D as a fixed support, what is the rotation at point D?
a) 137.1/EI
b) -137.1/EI
c) 0
d) 100/EI
View Answer
Explanation: As point D is a fixed support, no rotation occurs at this point.
7. For a frame with symmetrical loading, supports, and members, how many deflection unknowns need to be solved?
a) 0
b) 1
c) 2
d) 3
View Answer
Explanation: Initially, there will be 3 displacement unknowns, but all of them will come out to be zero as it is non-sway frame.
8. In a symmetrical frame with members AB = 12m and BC = 8m, how many non-zero unknowns will remain after calculations?
a) 0
b) 1
c) 2
d) 3
View Answer
Explanation: Only the rotations at points B and C will remain as non-zero unknowns.
9. In a frame with segments AB = 12m, BC = 8m, and CD = 12m, how many total slope deflection equations (SDE) are required for this frame with constant EI?
a) 8
b) 6
c) 4
d) 3
View Answer
Explanation: With three members and no joints with zero moments, a total of six slope deflection equations are required.
10. In a frame with segment AB = 12m, under no applied load, what is the Fixed End Moment (FEM) for segment AB?
a) 80
b) -80
c) 0
d) 160
View Answer
Explanation: No load acts on segment AB, so the FEM is zero.
11. For a frame with joint points B and C, which of the following pairs of points is best for generating extra moment-conservation equations?
a) A and B
b) B and C
c) C and D
d) D and A
View Answer
Explanation: Moment conservation around points B and C will involve all unknowns and yield necessary extra equations.
12. In a frame with joints B and C, which equation is valid when conserving moments around joint B?
a) mBA + mCA = 0
b) mBA + mCB = 0
c) mBA + mBC = 0
d) mAB + mBC = 0
View Answer
Explanation: By isolating a section near joint B, moment conservation gives mBA + mBC = 0.
13. For a frame with joints B and C, which equation holds true when conserving moments near joint C?
a) mBA + mCA = 0
b) mBA + mCB = 0
c) mBA + mBC = 0
d) mCD + mCB = 0
View Answer
Explanation: By isolating a section near joint C, moment conservation gives mCD + mCB = 0.
14. In a frame with segment lengths AB = 12m and BC = 8m, what is the rotation at point B under symmetrical loading?
a) 137.1/EI
b) -137.1/EI
c) 0
d) 100/EI
View Answer
Explanation: This rotation can be determined by solving the equations involving the slope at point B.
15. For a frame with segment lengths AB = 12m and BC = 8m, what is the rotation at point C under symmetrical loading?
a) 137.1/EI
b) -137.1/EI
c) 0
d) 100/EI
View Answer
Explanation: The rotation at point C will be negative when solving the equations with slope deflection for symmetrical loading.
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