This set of Structural Analysis Multiple Choice Questions & Answers (MCQs) focuses on “Analysis of Frames : Sidesway-I”.
1. A frame with beam segments AB = 12m, BC = 15m, and CD = 18m, with a 40 kN load acting at joint B, is given. EI is constant throughout the frame. This frame is described as a non-sway frame. State whether this statement is true or false.
a) true
b) false
View Answer
Explanation: This is a sway frame since the members and loading are unsymmetrical, causing lateral displacement.
2. What will be the Fixed End Moment (FEM) MBC in the frame described, where a 40 kN load is applied at joint B?
a) 80
b) 0
c) -160
d) 160
View Answer
Explanation: No external moment or force is directly acting on beam BC itself; the 40 kN load at B is balanced through joint equilibrium, resulting in zero fixed-end moment.
3. For a sway frame with fixed support at point A, what is the expected rotation at point A?
a) 137.1/EI
b) -137.1/EI
c) 0
d) 100/EI
View Answer
Explanation: Point A is a fixed support, so no rotation occurs there.
4. How many deflection unknowns will exist initially in the frame system with unsymmetrical members and loading, where AB = 12m, BC = 15m, and CD = 18m, under a load of 40 kN at joint B?
a) 0
b) 1
c) 2
d) 3
View Answer
Explanation: Initially, there are 3 displacement unknowns, but all except one are zero, as the members are considered inextensible.
5. After analyzing the frame described, how many non-zero unknowns will be left to solve for?
a) 0
b) 1
c) 2
d) 3
View Answer
Explanation: Three unknowns remain to be calculated: rotation at points B and C and the lateral displacement of beam BC.
6. In a frame with three members (AB, BC, and CD) where no joint moment is zero, how many slope-deflection equations are required to analyze the system?
a) 8
b) 6
c) 4
d) 3
View Answer
Explanation: There are three members, and each member requires two slope-deflection equations, resulting in a total of six equations.
7. In a sway frame with members AB = 12m and CD = 18m, and no external load on members AB or CD, what is the Fixed End Moment (FEM) for MAB?
a) 80
b) -80
c) 0
d) 160
View Answer
Explanation: Since no load is acting on members AB or CD, the fixed-end moment for MAB is zero.
8. For a frame with a load at joint B, which of the following sets of points should be chosen to generate additional equilibrium equations?
a) A and B
b) B and C
c) C and D
d) D and A
View Answer
Explanation: By conserving moments at points B and C, all unknowns are taken into account for calculating equilibrium.
9. For beam AB with a length of 12m in a frame where moments MBA and MAB are known, what is the expression for the shear in beam AB?
a) mBA + mAB/12
b) mBA + mCB/12
c) mBA + mBC/12
d) mAB + mBC/12
View Answer
Explanation: Shear is determined by separating out the beam and taking moments about one of the ends, yielding the expression mBA + mAB/12
10. For beam CD with a length of 18m, where fixed-end moments MCD and MDC are given, what is the expression for shear in beam CD?
a) mBA + mCA/12
b) mBA + mCB/18
c) mBA + mBC/18
d) mCD + mDC/18
View Answer
Explanation: To calculate shear in beam CD, isolate the beam and take moments around one end, resulting in MCD + MDC/18
11. What will be the rotation at point B for the sway frame with EI constant throughout, given the lengths of AB = 12m, BC = 15m, and CD = 18m, under a 40 kN load acting at joint B?
a) 438.81/EI
b) -137.1/EI
c) 0
d) 136.18/EI
View Answer
Explanation: Solving the equations for rotation at point B results in a value of 438.81/EI.
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