Q. For a simply supported beam with a length L and a point load P at one end, what is the reaction at the other end?
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Solution
The reaction at the other end of a simply supported beam with a point load P at one end is equal to P.
Correct Answer:
A
— P
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Q. In the stiffness method, what is the primary unknown?
A.
Displacements
B.
Reactions
C.
Internal Forces
D.
Support Moments
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Solution
In the stiffness method, the primary unknowns are the displacements at the nodes of the structure.
Correct Answer:
A
— Displacements
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Q. What is the formula for the moment of inertia of a rectangular section?
A.
bh^3/12
B.
bh^2/12
C.
b^3h/12
D.
b^2h/12
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Solution
The moment of inertia I of a rectangular section is given by I = bh^3/12, where b is the width and h is the height.
Correct Answer:
A
— bh^3/12
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Q. What is the relationship between bending moment and shear force in a beam?
A.
M = V*L
B.
M = ∫V dx
C.
M = V*E
D.
M = V*I
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Solution
The relationship between bending moment (M) and shear force (V) in a beam is given by M = ∫V dx, where the integral is taken along the length of the beam.
Correct Answer:
B
— M = ∫V dx
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Q. What is the shear force at the supports of a simply supported beam with a uniform load?
A.
wL/2
B.
wL
C.
0
D.
wL/4
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Solution
The shear force at the supports of a simply supported beam with a uniform load w is V = wL/2.
Correct Answer:
A
— wL/2
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