Q. For a truss with a pin joint, what condition must be satisfied for equilibrium?
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A.
Sum of forces in x = 0
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B.
Sum of forces in y = 0
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C.
Both A and B
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D.
None of the above
Solution
For a pin joint in a truss to be in equilibrium, both the sum of forces in the x-direction and the sum of forces in the y-direction must equal zero.
Correct Answer:
C
— Both A and B
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Q. In a simply supported beam with a uniform load, what is the formula for the maximum shear force?
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A.
w * L / 2
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B.
w * L
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C.
w * L^2 / 2
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D.
0
Solution
The maximum shear force (V) in a simply supported beam with a uniform load (w) is given by V = w * L / 2.
Correct Answer:
A
— w * L / 2
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Q. What is the effect of increasing the moment of inertia (I) on the deflection of a beam?
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A.
Increases deflection
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B.
Decreases deflection
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C.
No effect
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D.
Doubles deflection
Solution
Increasing the moment of inertia (I) of a beam decreases its deflection, as deflection is inversely proportional to I.
Correct Answer:
B
— Decreases deflection
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Q. What is the primary advantage of using the stiffness method in structural analysis?
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A.
Simplicity
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B.
Accuracy
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C.
Ability to handle indeterminate structures
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D.
Speed of calculations
Solution
The primary advantage of using the stiffness method is its ability to handle indeterminate structures effectively.
Correct Answer:
C
— Ability to handle indeterminate structures
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Q. What is the relationship between the load applied to a beam and its deflection in the elastic range?
-
A.
Directly proportional
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B.
Inversely proportional
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C.
Exponential
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D.
Logarithmic
Solution
In the elastic range, the deflection of a beam is directly proportional to the load applied, according to Hooke's Law.
Correct Answer:
A
— Directly proportional
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