Q. For a beam fixed at both ends, what is the formula for the maximum deflection under a central point load?
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A.
PL^3/48EI
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B.
PL^3/12EI
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C.
PL^4/8EI
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D.
PL^4/384EI
Solution
The maximum deflection (δ) for a beam fixed at both ends under a central point load (P) is given by δ = PL^3/12EI.
Correct Answer:
B
— PL^3/12EI
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Q. For a simply supported beam subjected to a triangular load, what is the location of the centroid of the load?
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A.
L/3 from the larger end
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B.
L/2 from the center
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C.
L/4 from the smaller end
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D.
L/2 from the larger end
Solution
The centroid of a triangular load is located at L/3 from the larger end of the triangle.
Correct Answer:
A
— L/3 from the larger end
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Q. In a statically indeterminate structure, which method is typically used to analyze the internal forces?
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A.
Method of Sections
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B.
Compatibility Conditions
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C.
Virtual Work Method
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D.
Method of Joints
Solution
In statically indeterminate structures, Compatibility Conditions are used to analyze the internal forces.
Correct Answer:
B
— Compatibility Conditions
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Q. What is the factor of safety for a structure if the ultimate load capacity is 150 kN and the working load is 75 kN?
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A.
1.5
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B.
2.0
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C.
2.5
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D.
3.0
Solution
The factor of safety (FS) is calculated as FS = Ultimate Load / Working Load = 150 kN / 75 kN = 2.0.
Correct Answer:
B
— 2.0
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Q. What is the primary purpose of using factors of safety in structural design?
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A.
To reduce material costs
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B.
To account for uncertainties
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C.
To increase load capacity
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D.
To simplify calculations
Solution
Factors of safety are used in structural design to account for uncertainties in material properties, loads, and environmental conditions.
Correct Answer:
B
— To account for uncertainties
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