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Theory of Structures

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

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

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Theory of Structures
The greatest load which a spring can carry without getting permanently distorted, is called

Stiffness
Proof resilience
Proof load
Proof stress

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Theory of Structures
A simply supported rolled steel joist 8 m long carries a uniformly distributed load over it span so that the maximum bending stress is 75 N/mm². If the slope at the ends is 0.005 radian and the value of E = 0.2 × 106 N/mm², the depth of the joist, is

400 mm
250 mm
300 mm
200 mm

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

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Theory of Structures
H V are the algebraic sums of the forces resolved horizontally and vertically respectively, M is the algebraic sum of the moments of forces about any point, for the equilibrium of the body acted upon

M = 0
V = 0
H = 0
All of these

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Theory of Structures
The maximum magnitude of shear stress due to shear force F on a rectangular section of area A at the neutral axis, is

F/A
3F/2A
2F/3A
F/2A

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