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Theory of Structures

Theory of Structures
The equivalent length of a column of length L having one end fixed and the other end free, is

L
2L
L/2
L

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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

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

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Theory of Structures
A truss containing j joints and m members, will be a simple truss if

j = 3m – 2
m = 3j – 2
j = 2m – 3
m = 2j – 3

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Theory of Structures
Flat spiral springs

Consist of uniform thin strips
All of these
Consist of uniform thin strips
Are wound by applying a torque

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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

2 mm
4 mm
3 mm
5 mm

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Theory of Structures
The maximum deflection due to a load W at the free end of a cantilever of length L and having flexural rigidity EI, is

WL3/2EI
WL²/2EI
WL²/3EI
WL3/3EI

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