Determine elongation of bar, Mechanical Engineering

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Determine elongation of bar:

A conical bar tapers uniformly from diameter of 4 cm to 1.5 cm in length of 40 cm. If axial force of 80 kN is applied at each end, determine elongation of bar. Take E = 2 × 105  N/mm2                

Sol.: Given; P = 80 × 103  N,

E = 200GPa = 2 × 105  N/mm2, dL = 40mm, d2  = 15mm, L = 400mm

As;

518_Determine elongation of bar.png

By putting all the value, we get

δL = [4 × 80 × 103  × 400]/[Π(2 × 105) × (40 × 15)]

= 0.3397mm                                                                            .......ANS

 


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