Q. For a simply supported beam with a point load at the center, what is the maximum bending moment?
A.
WL/4
B.
WL/2
C.
WL
D.
0
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Solution
The maximum bending moment for a simply supported beam with a point load at the center is given by M = WL/4, where W is the load and L is the length of the beam.
Correct Answer:
B
— WL/2
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Q. In a beam subjected to bending, what does the neutral axis represent?
A.
The axis where shear stress is maximum
B.
The axis where bending stress is zero
C.
The axis where axial stress is maximum
D.
The axis where deflection is maximum
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Solution
The neutral axis in a beam subjected to bending is the axis where the bending stress is zero.
Correct Answer:
B
— The axis where bending stress is zero
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Q. In a beam, what does the area under the shear force diagram represent?
A.
Bending moment
B.
Deflection
C.
Shear stress
D.
Axial load
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Solution
The area under the shear force diagram represents the bending moment at that section of the beam.
Correct Answer:
A
— Bending moment
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Q. In a cantilever beam with a uniform distributed load, where does the maximum shear force occur?
A.
At the free end
B.
At the fixed support
C.
At the midpoint
D.
Uniformly distributed along the length
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Solution
The maximum shear force in a cantilever beam with a uniform distributed load occurs at the fixed support.
Correct Answer:
B
— At the fixed support
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Q. What is the effect of increasing the moment of inertia on the bending stress in a beam?
A.
Bending stress increases
B.
Bending stress decreases
C.
Bending stress remains the same
D.
Bending stress becomes zero
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Solution
Increasing the moment of inertia decreases the bending stress in a beam for a given bending moment.
Correct Answer:
B
— Bending stress decreases
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Q. What is the formula for calculating the bending stress in a beam?
A.
σ = My/I
B.
σ = F/A
C.
σ = Eε
D.
σ = VQ/It
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Solution
The bending stress in a beam is calculated using the formula σ = My/I, where M is the bending moment, y is the distance from the neutral axis, and I is the moment of inertia.
Correct Answer:
A
— σ = My/I
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Q. What is the shear force at the midpoint of a simply supported beam with a uniform load?
A.
Zero
B.
Maximum
C.
Minimum
D.
Equal to the total load
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Solution
The shear force at the midpoint of a simply supported beam with a uniform load is zero.
Correct Answer:
A
— Zero
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Q. What is the unit of shear force in the SI system?
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Solution
The unit of shear force in the SI system is Newton (N).
Correct Answer:
B
— N
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