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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)`
image
A. `13xx10^(-7)m`
B. `4.5xx10^(-7)m`
C. `5xx10^(-7)m`
D. `3.5xx10^(-7)m`

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Correct Answer - 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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