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Theory of Structures

Theory of Structures
The ratio of the stresses produced by a suddenly applied load and by a gradually applied load on a bar, is

1/4
1/2
2
1

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Theory of Structures
A spring of mean radius 40 mm contains 8 action coils of steel (N = 80000 N/mm²), 4 mm in diameter. The clearance between the coils being 1 mm when unloaded, the minimum compressive load to remove the clearance, is

40 N
30 N
35 N
25 N

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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 simply supported uniform rectangular bar breadth b, depth d and length L carries an isolated load W at its mid-span. The same bar experiences an extension e under same tensile load. The ratio of the maximum deflection to the elongation, is

(L/2d)²
L/d
L/2d
(L/3d)²

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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:

3.125 cm³
2.125 cm³
1.125 cm³
4.125 cm²

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Theory of Structures
For beams of uniform strength, if depth is constant,

Width b M 2
Width b M
Width b 3 M
Width b 1/M

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