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A steel rod of cross-sectional area Im^(...

A steel rod of cross-sectional area `Im^(2)` is acted upon by forces as shown in the Fig. Determine the total elongation of the bar. Take `Y = 2.0xx10^(11) N//m^(2)`

A

`13xx10^(-7)m`

B

`4.5xx10^(-7)m`

C

`5xx10^(-7)m`

D

`3.5xx10^(-7)m`

Text Solution

Verified by Experts

The correct Answer is:
D
The bar is at equilibrium. The net force form right or left of a section of `BC` is `70KN`. We know that the extension due to external forces `F` is given
`Delta l = (Fl)/(Ay), Delta_(BC) = ((70xx10^(3))xx1)/(1xx2xx10^(11)) = 3.5xx10^(-7)m`
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Knowledge Check

  • A uniform cylindrical rod of length L and cross-sectional area by forces as shown in figure. The elongation produced in the rod is

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