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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

0.303
0.505
0.404
0.707

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Theory of Structures
In the truss, the force in the member AC is

t compressive
6.25 t compressive
t tensile
8.75 t tensile

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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

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

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Theory of Structures
A steel bar 5 m × 50 mm is loaded with 250,000 N. If the modulus of elasticity of the material is 0.2 MN/mm² and Poisson’s ratio is 0.25, the change in the volume of the bar is:

2.125 cm³
4.125 cm²
3.125 cm³
1.125 cm³

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Theory of Structures
A square column carries a load P at the centroid of one of the quarters of the square. If a is the side of the main square, the combined bending stress will be

p/a²
4p/a²
2p/a²
3p/a²

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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

Parabolic formula
Straight line formula
Rankine
Perry

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