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Theory of Structures

Theory of Structures
The equivalent length of a column of length L, having both the ends hinged, is

L
L/2
2L
S

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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
250 mm
200 mm
400 mm

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Theory of Structures
P = 4π² EI/L² is the equation of Euler's crippling load if

Both the ends are hinged
Both the ends are fixed
One end is fixed and other end is hinged
One end is fixed and other end is free

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Theory of Structures
Principal planes are subjected to

Tangential stresses only
Normal stresses as well as tangential stresses
None of these
Normal stresses only

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Theory of Structures
The ratio of moments of inertia of a triangular section about its base and about a centroidal axis parallel to its base, is

1.5
1
2
3

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Theory of Structures
A cantilever of length 2 cm and depth 10 cm tapers in plan from a width 24 cm to zero at its free end. If the modulus of elasticity of the material is 0.2 × 106 N/mm², the deflection of the free end, is

3 mm
5 mm
2 mm
4 mm

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