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Theory of Structures

Theory of Structures
The moment of inertia of a triangular section (height h, base b) about its base, is

b²h/12
b³h/12
bh²/12
bh³/12

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Theory of Structures
A steel rod 1 metre long having square cross section is pulled under a tensile load of 8 tonnes. The extension in the rod was 1 mm only. If Esteel = 2 × 106 kg/cm², the side of the rod, is

1.5 cm
2.5 cm
2 cm
1 cm

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Theory of Structures
The vertical reaction for the arch is

wl/a
wa/2l
wa/l
wa²/2l

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Theory of Structures
A steel rod of sectional area 250 sq. mm connects two parallel walls 5 m apart. The nuts at the ends were tightened when the rod was heated to 100°C. If steel = 0.000012/C°, Esteel = 0.2 MN/mm², the tensile force developed at a temperature of 50°C, is

100 N/mm 2
80 N/mm²
150 N/mm²
120 N/mm²

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Theory of Structures
parabolic arch of span and rise , is given by The equation of a

y = 4h/l² × (1 – x)
y = 3h/l² × (1 – x)
y = 2h/l² × (1 – x)
y = h/l² × (1 – x )

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Theory of Structures
The stiffness of the close coil helical spring is

8D3N/d4n
d4N/8D3n
d4N/4D3n
4D3N/d4n

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