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Theory of Structures

Theory of Structures
For beams breadth is constant,

Depth d 3
Depth d
Depth d M
Depth d 1/M

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Theory of Structures
Total strain energy theory for the failure of a material at elastic limit, is known

Guest’s or Trecas’ theory
St. Venant’s theory
Rankine’s theory
Haig’s theory

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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

WI²/12
WI²/8
WI/2
WI²/4

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Theory of Structures
The ratio of the deflections of the free end of a cantilever due to an isolated load at 1/3rd and 2/3rd of the span, is

2/7
1/7
3/7
4/7

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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

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

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Theory of Structures
Stress may be expressed in Newtons

Per millimetre square (N/mm²)
None of these
Per metre square (N/m2)
Per centimetre square (N/cm²)

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