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Theory of Structures

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

0.404
0.707
0.303
0.505

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Theory of Structures
For calculating the allowable stress of long columns σ0 = σy/n [1 - a (1/r)²]is the empirical formula, known as

Straight line formula
Perry
Parabolic formula
Rankine

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Theory of Structures
The eccentricity (e) of a hollow circular column, external diameter 25 cm, internal diameter 15 cm for an eccentric load 100 t for non-development of tension, is

3.50 cm
2.75 cm
3.00 cm
4.25 cm

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Theory of Structures
A shaft is subjected to bending moment M and a torque T simultaneously. The ratio of the maximum bending stress to maximum shear stress developed in the shaft, is

M/T
T/M
2T/M
2M/ T

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Theory of Structures
A three hinged arch is generally hinged at its supports and

At the crown
None of these
Anywhere in the rib
At one quarter span

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Theory of Structures
A cantilever of length ‘L’ is subjected to a bending moment ‘M’ at its free end. If EI is the flexural rigidity of the section, the deflection of the free end, is

ML²/3EI
ML/2EI
ML²/2EI
ML/EI

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