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Theory of Structures

Theory of Structures
The maximum deflection due to a load W at the free end of a cantilever of length L and having flexural rigidity EI, is

WL²/3EI
WL3/2EI
WL3/3EI
WL²/2EI

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Theory of Structures
section modulus of a square section of side B and that of a circular section of the ratio of the diameter D, is

3 /8
3 /16
2 /15
/16

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Theory of Structures
The strain energy due to volumetric strain

Is directly proportional to the volume
All of these
Is directly proportional to the square of exerted pressure
Is inversely proportional to Bulk modulus

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Theory of Structures
The ratio of the length and diameter of a simply supported uniform circular beam which experiences maximum bending stress equal to tensile stress due to same load at its mid span, is

1/2
1/8
1/4
1/3

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Theory of Structures
The load on a spring per unit deflection, is called

Proof resilience
Proof stress
Proof load
Stiffness

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Theory of Structures
A simply supported rolled steel joist 8 m long carries a uniformly distributed load over it span so that the maximum bending stress is 75 N/mm². If the slope at the ends is 0.005 radian and the value of E = 0.2 × 106 N/mm², the depth of the joist, is

250 mm
400 mm
300 mm
200 mm

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