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Theory of Structures

Theory of Structures
The equivalent length is of a column of length having both the ends fixed, is

2 L
L
l
L/2

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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

4 mm
5 mm
3 mm
2 mm

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Theory of Structures
At any point of a beam, the section modulus may be obtained by dividing the moment of inertia of the section by

Maximum tensile stress at the section
Maximum compressive stress at the section
Depth of the neutral axis
Depth of the section

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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
ML/2EI
ML²/3EI
ML²/2EI

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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

Perry
Parabolic formula
Straight line formula
Rankine

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Theory of Structures
The ratio of shear stress and shear strain of an elastic material, is

Shear Modulus
Both A. and B.
Modulus of Rigidity
Modulus of Elasticity

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