Civil Engineering
Structures, surveying, soil mechanics
24 Questions 10 Topics Take Test
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Showing 21–24 of 24 questions
In Williot-Mohr diagram for a truss, what do the lines represent?
A Member forces
B Deflected position of joints
C Strain of members
D Stress distribution
Correct Answer:  B. Deflected position of joints
EXPLANATION

Williot-Mohr diagram graphically represents the deflected shape showing displaced position of all joints in a truss.

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The Castigliano's first theorem relates:
A Deflection to external load
B Partial derivative of strain energy to deflection
C Partial derivative of strain energy to load equals deflection
D Stress to strain directly
Correct Answer:  C. Partial derivative of strain energy to load equals deflection
EXPLANATION

Castigliano's first theorem: ∂U/∂P = δ, where U is strain energy and δ is deflection at point of load P.

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A frame with 'j' joints, 'm' members, and 'r' reaction components is indeterminate with degree:
A DI = m + r - 2j
B DI = m + r - 3j
C DI = 3m + r - 2j
D DI = 2m + r - 3j
Correct Answer:  A. DI = m + r - 2j
EXPLANATION

For planar frames: DI = (m + r) - 2j, where 2j accounts for 2 equilibrium equations per joint in 2D.

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In matrix method of structural analysis, the stiffness matrix [K] is:
A Always singular
B Always non-singular for determinate structures
C Symmetric and positive definite for stable structures
D Independent of boundary conditions
Correct Answer:  C. Symmetric and positive definite for stable structures
EXPLANATION

Stiffness matrix [K] is symmetric (reciprocal theorem) and positive definite for stable structures without rigid body movements.

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