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

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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

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

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Theory of Structures
constant, depth of a cantilever of length of uniform strength loaded with Keeping breadth uniformly distributed load varies from zero at the free end and

w l) at the fixed end
2w w l at the fixed end
3w l at the fixed end
l) at the fixed end

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Theory of Structures
The maximum bending moment for a simply supported beam with a uniformly distributed load w/unit length, is

WI/2
WI²/12
WI²/4
WI²/8

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Theory of Structures
A simply supported uniform rectangular bar breadth b, depth d and length L carries an isolated load W at its mid-span. The same bar experiences an extension e under same tensile load. The ratio of the maximum deflection to the elongation, is

L/2d
(L/2d)²
L/d
(L/3d)²

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Theory of Structures
In case of a simply supported rectangular beam of span L and loaded with a central load W, the length of elasto-plastic zone of the plastic hinge, is

L/3
L/4
L/5
L/2

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