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Theory of Structures

Theory of Structures
The ratio of the deflections of the free end of a cantilever due to an isolated load at 1/3rd and 2/3rd of the span, is

3/7
4/7
1/7
2/7

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Theory of Structures
P = 4π² EI/L² is the equation of Euler's crippling load if

Both the ends are hinged
One end is fixed and other end is free
One end is fixed and other end is hinged
Both the ends are fixed

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Theory of Structures
The maximum deflection of a simply supported beam of span L, carrying an isolated load at the centre of the span; flexural rigidity being EI, is

WL3/3EL
WL3/24EL
WL3/48EL
WL3/8EL

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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:

1.125 cm³
4.125 cm²
3.125 cm³
2.125 cm³

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Theory of Structures
At yield point of a test piece, the material

Undergoes plastic deformation
Regains its original shape on removal of the load
Obeys Hooke’s law
Behaves in an elastic manner

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Theory of Structures
The moment of inertia of a triangular section (height h, base b) about its base, is

b³h/12
bh²/12
b²h/12
bh³/12

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