# Linear and Lateral Strain

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1. Linear Strain

Linear strain of a deformed body is defined as the ratio of the change in length of the body due to the deformation to its original length in the direction of the force. If l is the original length and dl the change in length occurred due to the deformation, the linear strain e induced is given by e=dl/l.

2. Lateral Strain

Lateral strain of a deformed body is defined as the ratio of the change in length (breadth of a rectangular bar or diameter of a circular bar) of the body due to the deformation to its original length (breadth of a rectangular bar or diameter of a circular bar) in the direction perpendicular to the force.

A little consideration will show that due to tensile force, the length of the bar increases by anÂ amount Î´l and the diameter decreases by an amount Î´d, as shown in Fig. 1. Similarly, if the barÂ is subjected to a compressive force, the length of bar will decrease which will be followed by increaseÂ in diameter.

It is thus obvious, that every direct stress is accompanied by a strain in its own direction whichÂ is known as linear strain and an opposite kind of strain in every direction, at right angles to it, isÂ known as lateral strain.

Reference

Online Educational Resource Collection

A textbook of Machine Design by R.S.Khurmi and J.K.Gupta

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