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Theory of Structures

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
WL3/2EI
WL3/3EI
WL²/2EI

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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
Haig’s theory
Rankine’s theory

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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

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

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Theory of Structures
At yield point of a test piece, the material

Behaves in an elastic manner
Obeys Hooke’s law
Regains its original shape on removal of the load
Undergoes plastic deformation

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Theory of Structures
The ratio of the length and depth of a simply supported rectangular beam which experiences maximum bending stress equal to tensile stress, due to same load at its mid span, is

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

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Theory of Structures
For determining the support reactions at A and B of a three hinged arch, points B and Care joined and produced to intersect the load line at D and a line parallel to the load line through A at D’. Distances AD, DD’ and AD’ when measured were 4 cm, 3 cm and 5 cm respectively. The angle between the reactions at A and B is

60°
30°
90°
45°

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