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Theory of Structures

Theory of Structures
The ratio of the area of cross-section of a circular section to the area of its core, is

15
11
14
16

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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
(L/3d)²
L/d
(L/2d)²

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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

ML/EI
ML²/3EI
ML/2EI
ML²/2EI

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Theory of Structures
The ratio of the maximum deflections of a simply supported beam with a central load W and of a cantilever of same length and with a load W at its free end, is

1/16
1/10
1/8
1/12

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Theory of Structures
A load of 1960 N is raised at the end of a steel wire. The minimum diameter of the wire so that stress in the wire does not exceed 100 N/mm² is:

4.5 mm
4.0 mm
5.0 mm
5.5 mm

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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

Rankine
Perry
Parabolic formula
Straight line formula

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