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Theory of Structures

Theory of Structures
A truss containing j joints and m members, will be a simple truss if

j = 2m – 3
m = 2j – 3
m = 3j – 2
j = 3m – 2

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Theory of Structures
The vertical reaction for the arch is

wa/2l
wl/a
wa²/2l
wa/l

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

l
L
L/2
2 L

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

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

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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

90°
60°
30°
45°

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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

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

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