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Theory of Structures

Theory of Structures
The point of contraflexure is the point where

M. is maximum
M. changes sign
S.F. is zero
M. is minimum

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Theory of Structures
A close coil helical spring when subjected to a moment M having its axis along the axis of the helix

Its mean diameter will decrease
It is subjected to pure bending
All of these
Its number of coils will increase

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Theory of Structures
Principal planes are subjected to

Tangential stresses only
Normal stresses only
None of these
Normal stresses as well as tangential stresses

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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

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

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Theory of Structures
A shaft subjected to a bending moment M and a torque T, experiences

Maximum shear stress = 16 T/πd³
Neither A nor B
Maximum bending stress = 32M/πd³
Both A and B

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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

WL3/2EI
WL²/3EI
WL²/2EI
WL3/3EI

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