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Theory of Structures

Theory of Structures
A body is said to be in equilibrium if

None of these
It moves vertically
It moves horizontally
It rotates about its C.G.

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

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Theory of Structures
For calculating the allowable stress of long columns σ0 = σy/n [1 - a (1/r)²]is the empirical formula, known as

Perry
Rankine
Straight line formula
Parabolic formula

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Theory of Structures
An isolated load W is acting at a distance a from the left hand support, of a three hinged arch of span 2l and rise h hinged at the crown, the horizontal reaction at the support, is

2W/ha
2h/Wa
Wa/2h
Wa/h

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

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

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

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