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Theory of Structures

Theory of Structures
For the close coil helical spring of the maximum deflection is

8WD3n/d4N
WD3n/d4N
4W²D3n/d4N
2WD3n/d4N

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Theory of Structures
A steel plate d × b is sandwiched rigidly between two timber joists each D × B/2 in section. The steel will be (where Young’s modulus of steel is m times that of the timber).

BD² + mbd²)/6D]
BD² + mbd²)/4D]
BD² + mbd³)/4D]
BD³ + mbd³)/6D]

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Theory of Structures
The strain energy due to volumetric strain

All of these
Is directly proportional to the volume
Is directly proportional to the square of exerted pressure
Is inversely proportional to Bulk modulus

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Theory of Structures
A lift of weight W is lifted by a rope with an acceleration f. If the area of cross-section of the rope is A, the stress in the rope is

[W (2 + g/f)]/A
[W (1 + f/ G)]/ A
(1 – g/f)/A
[W (2 + f/G)]/A

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Theory of Structures
The load on a spring per unit deflection, is called

Proof load
Proof resilience
Proof stress
Stiffness

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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
All of these
H = 0

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