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Theory of Structures

Theory of Structures
The equivalent length of a column of length L having one end fixed and the other end free, is

L/2
2L
L
L

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Theory of Structures
Stress may be expressed in Newtons

Per metre square (N/m2)
None of these
Per millimetre square (N/mm²)
Per centimetre square (N/cm²)

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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
4 mm
5 mm
2 mm

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Theory of Structures
For a strongest rectangular beam cut from a circular log, the ratio of the width and depth, is

0.707
0.404
0.505
0.303

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Theory of Structures
A simply supported beam which carries a uniformly distributed load has two equal overhangs. To have maximum B.M. produced in the beam least possible, the ratio of the length of the overhang to the total length of the beam, is

0.407
0.207
0.508
0.307

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Theory of Structures
A shaft subjected to a bending moment M and a torque T, experiences

Both A and B
Maximum bending stress = 32M/πd³
Neither A nor B
Maximum shear stress = 16 T/πd³

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