Mechanical Properties of Solids

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# Mechanical Properties of Solids - PowerPoint PPT Presentation

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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Presentation Transcript

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

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

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

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.