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Theory of Structures

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

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

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Theory of Structures
A short column (30 cm × 20 cm) carries a load P 1 at 4 cm on one side and another load P2at 8 cm on the other side along a principal section parallel to longer dimension. If the extreme intensity on either side is same, the ratio of P1 to P2 will be

3/2
5/8
2/3
8/5

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Theory of Structures
The area of the core of a column of cross sectional area A, is

(1/18) A
(1/12) A
(1/6) A
(1/3) A

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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

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

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Theory of Structures
A bar L metre long and having its area of cross-section A, is subjected to a gradually applied tensile load W. The strain energy stored in the bar is

W²L/2AE
WL/AE
W²L/AE
WL/2AE

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Theory of Structures
The ratio of crippling loads of a column having both the ends fixed to the column having both the ends hinged, is

4
3
2
1

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