Q. For a beam subjected to a moment, what is the relationship between bending stress and moment?
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A.
σ = M/I
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B.
σ = I/M
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C.
σ = M*I
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D.
σ = M*E
Solution
The bending stress (σ) in a beam is related to the moment (M) and the moment of inertia (I) by the formula σ = M/I.
Correct Answer:
A
— σ = M/I
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Q. In a statically indeterminate beam, which method is typically used to analyze the structure?
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A.
Method of Joints
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B.
Virtual Work Method
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C.
Stiffness Method
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D.
Method of Sections
Solution
The Stiffness Method is typically used to analyze statically indeterminate beams by considering the stiffness of the members.
Correct Answer:
C
— Stiffness Method
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Q. What is the deflection formula for a simply supported beam under a uniform load?
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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 (δ) at the center of a simply supported beam under a uniform load (w) is given by δ = 5wL^4/384EI.
Correct Answer:
A
— 5wL^4/384EI
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Q. What is the factor of safety for a structure if the ultimate load is 100 kN and the allowable load is 50 kN?
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A.
1.0
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B.
2.0
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C.
0.5
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D.
1.5
Solution
The factor of safety (FS) is calculated as FS = Ultimate Load / Allowable Load = 100 kN / 50 kN = 2.0.
Correct Answer:
B
— 2.0
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Q. What is the shear force at the midpoint of a simply supported beam with a point load at one end?
Solution
The shear force at the midpoint of a simply supported beam with a point load at one end is 0, as the load is not applied at that point.
Correct Answer:
C
— 0
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