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Mechanical Properties of Solids

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Mechanical Properties of Solids. Strain. The ratio of change produced in the dimensions of a body by a system of forces or couples, in equilibrium, to its original dimensions is called strain. .

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Mechanical Properties of Solids

Strain

The ratio of change produced in the dimensions of a body by a system of forces or couples, in equilibrium, to its original dimensions is called strain.

Strain is of three types depending upon the change produced in a body and the stress applied. The three types of strain are

Longitudinal strain

(ii) Volume strain

(iii) Shearing strain

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Mechanical Properties of Solids

Longitudinal Strain

Longitudinal Strain is the ratio of the change in length of a body to the original length of the body.

If L is the original length of a wire or a rod and the final length of the wire or the rod is L + L . under the action of a normal stress, the change in length is L.

Longitudinal Strain = Change in length / Original length

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Mechanical Properties of Solids

Volume Strain

The strain produced by a hydraulic pressure is called volume strain. It is defined as the ratio of change in volume (ΔV) to the original volume V.

Volume strain = Change in volume / Original volume

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Mechanical Properties of Solids

Shearing Strain

Shearing strain is the ratio of relative displacement of the faces Δ x to the length of the body (cylinder) L.

Shearing strain

where θ is the angular displacement of the cylinder from the vertical.

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