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Theory of Structures

Theory of Structures
If Q is load factor, S is shape factor and F is factor of safety in elastic design, the following:

Q = S × F
Q = F – S
Q = S + F
Q = S – F

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Theory of Structures
The equivalent length of a column of length L, having both the ends hinged, is

2L
S
L/2
L

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Theory of Structures
A steel bar 20 mm in diameter simply-supported at its ends over a total span of 40 cm carries a load at its centre. If the maximum stress induced in the bar is limited to N/mm², the bending strain energy stored in the bar, is

411 N mm
511 N mm
611 N mm
711 N mm

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Theory of Structures
P = 4π² EI/L² is the equation of Euler's crippling load if

Both the ends are fixed
One end is fixed and other end is hinged
One end is fixed and other end is free
Both the ends are hinged

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Theory of Structures
The general expression for the B.M. of a beam of length l is the beam carries M = (wl/2) x – (wx²/2)

None of these
A uniformly distributed load w/unit length
A load varying linearly from zero at one end to w at the other end
An isolated load at mid span

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Theory of Structures
A square column carries a load P at the centroid of one of the quarters of the square. If a is the side of the main square, the combined bending stress will be

p/a²
2p/a²
4p/a²
3p/a²

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