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Theory of Structures

Theory of Structures
The equivalent length of a column of length L having one end fixed and the other end free, is

L/2
L
2L
L

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

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Theory of Structures
A steel rod of sectional area 250 sq. mm connects two parallel walls 5 m apart. The nuts at the ends were tightened when the rod was heated to 100°C. If steel = 0.000012/C°, Esteel = 0.2 MN/mm², the tensile force developed at a temperature of 50°C, is

100 N/mm 2
120 N/mm²
80 N/mm²
150 N/mm²

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Theory of Structures
The maximum deflection due to a load W at the free end of a cantilever of length L and having flexural rigidity EI, is

WL²/3EI
WL3/3EI
WL3/2EI
WL²/2EI

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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).

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

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Theory of Structures
If a three hinged parabolic arch, (span l, rise h) is carrying a uniformly distributed load w/unit length over the entire span,

All of these
B.M. will be zero throughout
S.F. will be zero throughout
Horizontal thrust is wl2/8h

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