THEORY OF STRUCTURES QUIZ

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

250 mm

300 mm

400 mm

200 mm

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Maximum shear stress theory for the failure of a material at the elastic limit, is known

Guest's or Trecas' theory

St. Venant's theory

Haig's theory

Rankine's theory

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Inertia of a rectangular section of width and depth about an axis passing the moment of through C.G. and parallel to its width is

BD³/12

BD³/6

BD²/6

B²D/6

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A shaft is subjected to bending moment M and a torque T simultaneously. The ratio of the maximum bending stress to maximum shear stress developed in the shaft, is

2T/M

2M/ T

M/T

T/M

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The ratio of the deflections of the free end of a cantilever due to an isolated load at 1/3rd and 2/3rd of the span, is

2/7

4/7

3/7

1/7

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The maximum deflection due to a load W at the free end of a cantilever of length L and having flexural rigidity EI, is

WL3/3EI

WL²/2EI

WL3/2EI

WL²/3EI

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

Two bars

Three bars

three parallel bars

Three bars intersecting at a point

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The ratio of maximum and average shear stresses on a rectangular section, is

1.5

1.25

2.5

1

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In a shaft, the shear stress is not directly proportional to

Modulus of rigidity

Angle of twist

Length of the shaft

Radius of the shaft

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A bar L metre long and having its area of cross-section A, is subjected to a gradually applied tensile load W. The strain energy stored in the bar is

W²L/AE

WL/AE

WL/2AE

W²L/2AE

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