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Theory of Structures

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

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

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Theory of Structures
If a solid shaft (diameter 20 cm, length 400 cm, N = 0.8 × 105 N/mm²) when subjected to a twisting moment, produces maximum shear stress of 50 N/mm 2, the angle of twist in radians, is

0.001
0.002
0.003
0.0025

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Theory of Structures
The vertical reaction for the arch is

wa²/2l
wa/2l
wl/a
wa/l

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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

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

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Theory of Structures
If Q is load factor, S is shape factor and F is factor of safety in elastic design, the following:

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

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Theory of Structures
At any point of a beam, the section modulus may be obtained by dividing the moment of inertia of the section by

Maximum compressive stress at the section
Depth of the neutral axis
Maximum tensile stress at the section
Depth of the section

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