This set of Structural Analysis Multiple Choice Questions & Answers (MCQs) focuses on “Analysis of Beams-3”.
1. What is the value of mCB, after solving the equations for the beam system with fixed supports at A and C, and a roller at B?
a) 3.09
b) 1.54
c) 12.86
d) -3.09
View Answer
Explanation: To find the value of mCB, substitute the value of rotation at point B into the fourth equation. This results in a negative value due to the direction of the applied moment.
2. What is the value of mBA, after solving the equations for the beam system with fixed supports at A and C, and a roller at B?
a) 3.09
b) 1.54
c) 12.86
d) -3.09
View Answer
Explanation: The value of mBA, is the inverse of the moment at mBC, which is derived based on the rotation and boundary conditions.
3. What is the shear force at point A in the beam with fixed support at point A and roller support at point B?
a) -0.379
b) 0.479
c) -0.579
d) 0.679
View Answer
Explanation: The shear at point A can be determined by applying the moment equilibrium condition in beam AB about point B. This calculation takes into account the applied loads and boundary conditions.
4. What is the shear force at point C in the beam with fixed supports at points A and C, and a roller at point B?
a) -11.86
b) 12.86
c) -13.86
d) 14.86
View Answer
Explanation: The shear at point C can be calculated by conserving the moment in beam BC about point B, considering the reactions and loads applied on the beam.
5. What is the support reaction at point B in the beam system with fixed supports at points A and C, and a roller at point B?
a) 4.95
b) -5.95
c) 3.65
d) can’t say
View Answer
Explanation: The exact reaction at point B depends on the applied loads, geometry of the beam, and boundary conditions. This reaction needs to be calculated using the equations derived from the equilibrium of forces and moments.
6. How many separate parts will be required to solve the beam problem with 3 supports: A (fixed), B (roller), and C (roller)?
a) 0
b) 1
c) 2
d) 3
View Answer
Explanation: Since there are 3 supports, we divide the beam into two separate parts for solving.
7. What is the fixed-end moment (FEM) at point A in beam AB, under the action of a uniformly distributed load of 2 kN/m over a span of 24 meters?
a) 18
b) -18
c) 96
d) -96
View Answer
Explanation: The formula for the moment due to a unit load applied at the midpoint of the beam is \(\frac{WL^2}{12}\), where W is the load per unit length, and L is the span. The direction is anti-clockwise at point A.
8. What is the fixed-end moment (FEM) at point C in beam BC, assuming beam BC is fixed?
a) 12
b) -12
c) 36
d) -36
View Answer
Explanation: The formula for the moment at point C, assuming the beam is fixed, is PL/8, where P is the load and L is the length of the span. The direction of the moment is clockwise at point C.
9. What will be the end moment at point B in beam BC under the action of a uniformly distributed load?
a) 18
b) -18
c) 96
d) -96
View Answer
Explanation: The formula for the moment due to a unit load applied at the midpoint of the beam is \(\frac{WL^2}{12}\), with the direction of the moment being clockwise at point B.
10. What will be the end moments at point B in beam BC if the beam is considered fixed at support B and pin-supported at support C?
a) 18
b) -18
c) 96
d) -96
View Answer
Explanation: In this case, the moment at point C is zero, and half of the moment is transferred to point B.
11. What will be the deflection at point A in beam AB, assuming 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, it won’t allow any deflection to occur.
12. What will be the deflection at point B in beam BC, assuming it is a fixed support?
a) 0
b) 1/EI
c) 2/EI
d) can’t say
View Answer
Explanation: Since point B is a fixed support, it will not allow any deflection at this point.
13. What will be the rotation at point A in beam AB?
a) 0.2
b) -0.2
c) 0
d) can’t say
View Answer
Explanation: There will be no rotation at point A since it is a fixed support.
14. What will be the rotation at point C in beam BC?
a) 0.2
b) -0.2
c) 0
d) it will depend upon the rotation of beam BC at point B
View Answer
Explanation: The rotation at point C will depend on the rotation of beam BC at point B according to the equations.
15. After considering all the joint conditions, how many unknowns remain for solving the system?
a) 0
b) 1
c) 2
d) 3
View Answer
Explanation: The rotation at point B in either of the beams is not known, but they are equal, leaving one unknown.
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