Q. For a simply supported beam with a length L and a point load P at one end, what is the reaction force at the support opposite to the load?
Solution
The reaction force at the support opposite to the load is equal to the point load P.
Correct Answer:
A
— P
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Q. In a simply supported beam, what is the relationship between the bending moment and shear force?
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A.
M = V*L
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B.
M = ∫V dx
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C.
M = V*dx
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D.
M = V/L
Solution
The relationship is given by M = ∫V dx, where M is the bending moment and V is the shear force.
Correct Answer:
B
— M = ∫V dx
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Q. What is the condition for a structure to be statically determinate?
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A.
More equations than unknowns
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B.
More unknowns than equations
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C.
Equations equal to unknowns
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D.
None of the above
Solution
A structure is statically determinate when the number of equations of equilibrium is equal to the number of unknowns.
Correct Answer:
C
— Equations equal to unknowns
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Q. What is the deflection at the midpoint of a simply supported beam subjected to a uniform load w?
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A.
5wL^4/384EI
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B.
wL^3/3EI
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C.
wL^4/8EI
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D.
wL^3/48EI
Solution
The deflection at the midpoint of a simply supported beam subjected to a uniform load w is given by δ = wL^4/8EI.
Correct Answer:
C
— wL^4/8EI
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Q. What is the formula for calculating the moment of inertia for a rectangular beam section?
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A.
bh^3/12
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B.
bh^2/12
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C.
b^3h/12
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D.
b^2h/12
Solution
The moment of inertia (I) for a rectangular beam 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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