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

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Theory of Structures
The horizontal deflection of a parabolic curved beam of span 10 m and rise 3 m when loaded with a uniformly distributed load l t per horizontal length is (where Ic is the M.I. at the crown, which varies as the slope of the arch).

100/EIc
200/EIc
150/EIc
50/EIc

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Theory of Structures
In the truss, the force in the member AC is

t tensile
6.25 t compressive
8.75 t tensile
t compressive

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Theory of Structures
The moment of inertia of a triangular section (height h, base b) about its base, is

b²h/12
b³h/12
bh³/12
bh²/12

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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

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

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Theory of Structures
The ratio of the stresses produced by a suddenly applied load and by a gradually applied load on a bar, is

2
1
1/2
1/4

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