Q. For a simply supported beam with a length L and a point load P at the center, what is the reaction force at each support?
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Solution
The reaction force at each support of a simply supported beam with a point load (P) at the center is P/2.
Correct Answer:
A
— P/2
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Q. In a beam subjected to bending, what is the relationship between the bending moment and the curvature?
A.
M = EI * ρ
B.
M = ρ / EI
C.
M = E * I * ρ
D.
M = ρ / E
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Solution
The relationship between the bending moment (M) and the curvature (ρ) in a beam is given by M = EI * ρ, where E is the modulus of elasticity and I is the moment of inertia.
Correct Answer:
A
— M = EI * ρ
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Q. In a continuous beam, what method is often used to analyze the internal forces?
A.
Method of Sections
B.
Moment Distribution Method
C.
Virtual Work Method
D.
Method of Joints
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Solution
The Moment Distribution Method is often used to analyze the internal forces in a continuous beam.
Correct Answer:
B
— Moment Distribution Method
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Q. What is the effect of increasing the length of a beam on its deflection under a constant load?
A.
Deflection increases
B.
Deflection decreases
C.
Deflection remains the same
D.
Deflection doubles
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Solution
Increasing the length of a beam under a constant load will increase its deflection, as deflection is proportional to the cube of the length (L^3).
Correct Answer:
A
— Deflection increases
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Q. What is the formula for calculating the deflection of a simply supported beam with a point load at the center?
A.
PL^3 / 48EI
B.
PL^3 / 12EI
C.
PL^3 / 24EI
D.
PL^3 / 36EI
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Solution
The deflection (δ) at the center of a simply supported beam with a point load (P) is given by δ = PL^3 / 48EI.
Correct Answer:
A
— PL^3 / 48EI
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Q. What is the shear force at the support of a simply supported beam with a point load at one end?
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Solution
The shear force (V) at the support 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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