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Theory of Structures

Theory of Structures
For beams breadth is constant,

Depth d 1/M
Depth d M
Depth d
Depth d 3

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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
Gradually applied static loads do not change with time their

Direction
All of these
Point of application
Magnitude

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

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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

3 mm
5 mm
2 mm
4 mm

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Theory of Structures
A masonry dam (density = 20,000 N/m³) 6 m high, one metre wide at the top and 4 m wide at the base, has vertical water face. The minimum stress at the base of the dam when the reservoir is full, will be

750 N/m²
7500 N/m²
75000 N/m²
75 N/m²

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