Online Civil Engineering Test - Theory of Structures Test

Instruction:

This is a FREE online test. Beware of scammers who ask for money to attend this test.
Total number of questions: 20.
Time allotted: 30 minutes.
Each question carries 1 mark; there are no negative marks.
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All the best!

Two bars, one of steel and the other of copper having areas of cross-sections A_s and A_c, coefficient of expansion αs and αc and Young's Modulii E_s and E_s are rigidly connected together at the ends and subjected to temperature change of t°. If the length of the bars initially is L, the final extension δ of the two bars at t° temperature is given by

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The normal component of a force inclined through θ° is obtained by multiplying the force by

sin θ

cos θ

tan θ

sin θ cos θ

sin²θ

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A simply supported beam carries varying load from zero at one end and w at the other end. If the length of the beam is a, the maximum bending moment will be

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Keeping the depth d constant, the width of a cantilever of length l of uniform strength loaded with a uniformly distributed load w varies from zero at the free end and

at the fixed end

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The total strain energy of a beam of length L, having moment of inertia of its section I, when subjected to a bending moment M, is

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The stiffness of the close coil helical spring is

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A steel bar 5 m x 50 mm is loaded with 250, 000 N. If the modulus of elasticity of the material is 0.2 MN/mm² and Poisson's ratio is 0.25, the change in the volume of the bar is :

1.125 cm³

2.125 cm³

3.125 cm³

4.125 cm²

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The S.F. diagram of a loaded beam shown in the given figure is that of

a simply supported beam with isolated central load

a simply supported beam with uniformly distributed load

a cantilever with an isolated load at the free end

a cantilever with a uniformly distributed load.

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Pick up the correct statement from the following:

The bending stress in a section is zero at its neutral axis and maximum at the outer fibres

The shear stress is zero at the outer fibres and maximum at the neutral axis

The bending stress at the outer fibres, is known as principal stress

The planes of principal stresses are inclined at 45° to the neutral plane

All the above.

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10.

The strain energy stored in a spring when subjected to greatest load without being permanently distorted, is called

stiffness

proof resilience

proof stress

proof load.

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11.

is the equation of Euler's crippling load, if

both the ends are fixed

both the ends are hinged

one end is fixed and other end is free

one end is fixed and other end is hinged.

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12.

The equivalent length of a column of length L, having both the ends hinged, is

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13.

A body is said to be in equilibrium if

it moves horizontally

it moves vertically

it rotates about its C.G.

none of these.

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14.

The forces acting on the bar as shown in the given figure introduce

compressive stress

tensile stress

shear stress

none of these.

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15.

If normal stresses due to longitudinal and transverse loads on a bar are σ₁ and σ₂ respectively, the normal component of the stress on an inclined plane θ° to the longitudinal load, is

σ₁ sin θ x σ₂ cos θ

σ₁ sin θ² + σ₂ cos² θ

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16.

Gradually applied static loads do not change with time their

magnitude

direction

point of application

all the above.

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17.

In the truss shown in given figure the force in member DC is

100 t compressive

100 t tensile

zero

indeterminate

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18.

Pick up the correct statement from the following:

A wire wound in spiral form, is called a helical spring

The pitch of a close coil spring, is very small

The angle made by the coil with horizontal, is called the angle of helix

In the open coil helical spring, the angle of helix is comparatively large

All the above.

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19.

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

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20.

The ratio of the length and depth of a simply supported rectangular beam which experiences maximum bending stress equal to tensile stress, due to same load at its mid span, is