This set of Structural Analysis Multiple Choice Questions & Answers (MCQs) focuses on “Analysis of Beams-2”.
1. How many separate parts are needed to solve a beam with three supports (fixed at points A and C, and a roller at point B)?
a) 0
b) 1
c) 2
d) 3
View Answer
Explanation: The beam is divided into two parts to solve due to the three supports (fixed at A and C, roller at B).
2. What is the Fixed End Moment (FEM) at point B for a beam with triangular distributed load peaking at C?
a) 7.2
b) -7.2
c) 10.8
d) -10.8
View Answer
Explanation: The formula for moment due to triangular loading is \(\frac{wl^2}{30}\), and the direction is anti-clockwise.
3. What is the Fixed End Moment (FEM) at point C for a beam with triangular distributed load peaking at C?
a) 7.2
b) -7.2
c) 10.8
d) -10.8
View Answer
Explanation: The formula for the moment at the peak of a triangular load is \(\frac{wl^2}{20}\), and the direction is clockwise.
4. What will be the Fixed End Moment (FEM) at point A in beam AB if no external load acts on it?
a) 0
b) 10
c) 20
d) 30
View Answer
Explanation: Since there is no external load on beam AB, there will be no FEM at point A.
5. What will be the Fixed End Moment (FEM) at point B in beam AB if no external load acts on it?
a) 0
b) 10
c) 20
d) 30
View Answer
Explanation: Similarly, there is no external load on beam AB, so no FEM at point B.
6. What will be the deflection of beam AB at point A if it is a fixed support?
a) 0
b) 1/EI
c) 2/EI
d) can’t say
View Answer
Explanation: Since point A is a fixed support, no deflection will occur.
7. What will be the deflection of beam BC at point C if it is a fixed support?
a) 0
b) 1/EI
c) 2/EI
d) can’t say
View Answer
Explanation: Similarly, since point C is a fixed support, there will be no deflection.
8. What will be the rotation of beam AB at point A, given it is a fixed support?
a) 0.2
b) -0.2
c) 0
d) can’t say
View Answer
Explanation: Since point A is a fixed support, no rotation will occur at this point.
9. What will be the rotation of beam BC at point C, given it is a fixed support?
a) 0.2
b) -0.2
c) 0
d) can’t say
View Answer
Explanation: Similarly, no rotation will occur at point C as it is a fixed support.
10. After applying all the joint conditions, how many unknowns remain for solving the beam problem?
a) 0
b) 1
c) 2
d) 3
View Answer
Explanation: The rotation at point B remains unknown, and this must be solved.
11. What will be the extra condition obtained by conserving moment at joint B?
a) mBA + mCA = 0
b) mBA + mCB = 0
c) mBA + mBC = 0
d) mAB + mBC = 0
View Answer
Explanation: Conserving moment around joint B gives the equation mBA+mBC=0.
12. How many total equations will be generated for solving this beam system with three supports and external loading?
a) 1
b) 2
c) 3
d) 4
View Answer
Explanation: Two separate fixed beams are considered, leading to four equations.
13. What will be the value of rotation at point B after solving the equations for the beam system?
a) 3.17/EI
b) 4.17/EI
c) 5.17/EI
d) 6.17/EI
View Answer
Explanation: The rotation at point B can be determined by solving the equations, yielding 6.17/EI.
14. What is the value of the Fixed End Moment (FEM) at point AB after solving the equations?
a) 3.09
b) 1.54
c) 12.86
d) -3.09
View Answer
Explanation: After solving, the value of mAB is 1.54 N-ft.
15. What is the value of the Fixed End Moment (FEM) at point BC after solving the equations?
a) 3.09
b) 1.54
c) 12.86
d) -3.09
View Answer
Explanation: After solving the system, mBC equals 3.09 N-ft.
Sanfoundry Global Education & Learning Series – Structural Analysis.
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