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Theory of Structures

Theory of Structures
For beams breadth is constant,

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

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Theory of Structures
The shape factor of standard rolled beam section varies from

1.10 to 1.20
1.20 to 1.30
1.30 to 1.40
1.40 to 1.50

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

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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
WL3/3EI
WL²/2EI
WL3/2EI

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Theory of Structures
A simply supported rolled steel joist 8 m long carries a uniformly distributed load over it span so that the maximum bending stress is 75 N/mm². If the slope at the ends is 0.005 radian and the value of E = 0.2 × 106 N/mm², the depth of the joist, is

300 mm
400 mm
250 mm
200 mm

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Theory of Structures
A compound truss may be formed by connecting two simple rigid frames, by

Three bars
three parallel bars
Two bars
Three bars intersecting at a point

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