Evaluate elongation of bar of varying cross section, Mechanical Engineering

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Evaluate elongation of bar of varying cross section:

How you evaluate elongation of bar of varying cross section:?

Sol.: Take bar made up of different lengths and which is having different cross sections as shown in the figure given below.

720_Evaluate elongation of bar of varying cross section.png

For this type of bar, the following conditions apply:

(i) Each section is subjected to same external pull or push

(ii) Total change in length is equal to sum of changes of individual lengths

That is:

P1 = P2  = P3  = P as       H = 0  &       V = 0 and

1914_Evaluate elongation of bar of varying cross section1.png

If bar segments are made of same material, then in that particular case

521_Evaluate elongation of bar of varying cross section2.png

 


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