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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

WL3/3EI
WL²/2EI
WL²/3EI
WL3/2EI

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Theory of Structures
If E, N, K and 1/m are modulus of elasticity, modulus of rigidity. Bulk modulus and Poisson ratio of the material, the following relationship holds good

E = 3K (1 – 2/m)
All of these
E = 2N (1 + 1/m)
(3/2)K (1 – 2/m) = N (1 + 1/m)

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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

300 mm
200 mm
250 mm
400 mm

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Theory of Structures
Gradually applied static loads do not change with time their

Magnitude
Direction
All of these
Point of application

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Theory of Structures
A composite beam is composed of two equal strips one of brass and other of steel. If the temperature is raised

Composite beam gets subjected to a couple
Brass experiences compressive force
Steel experiences tensile force
All of these

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Theory of Structures
A two hinged parabolic arch of span l and rise h carries a load varying from zero at the left end to ? per unit run at the right end. The horizontal thrust is

ωl²/8h
ωl²/16h
ωl²/4h
ωl²/12h

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