Q. For a beam with a moment of inertia I and length L, what is the relationship between deflection and load?
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A.
Directly proportional to I
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B.
Inversely proportional to I
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C.
Directly proportional to L
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D.
Inversely proportional to L
Solution
The deflection of a beam is inversely proportional to the moment of inertia (I), meaning as I increases, deflection decreases.
Correct Answer:
B
— Inversely proportional to I
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Q. In a simply supported beam, what is the relationship between the maximum bending moment and the maximum shear force?
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A.
M = V*L
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B.
M = V/2
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C.
M = V*L/2
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D.
M = 0
Solution
The maximum bending moment (M) in a simply supported beam is related to the maximum shear force (V) by M = V*L, where L is the length of the beam.
Correct Answer:
A
— M = V*L
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Q. What is the critical load for a column with effective length L and modulus of elasticity E?
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A.
π²EI/L²
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B.
EI/L²
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C.
4EI/L²
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D.
2EI/L
Solution
The critical load (P_cr) for a column is given by P_cr = π²EI/L², where E is the modulus of elasticity and L is the effective length.
Correct Answer:
A
— π²EI/L²
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Q. What is the maximum bending moment in a simply supported beam with a point load at the center?
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A.
WL/4
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B.
WL/2
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C.
WL
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D.
WL^2/8
Solution
The maximum bending moment (M) for a simply supported beam with a point load (W) at the center and length (L) is given by M = WL/4.
Correct Answer:
B
— WL/2
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