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Q.

A composite bar has two sections of a cross-sectional area of 100mm2 and 200mm2 respectively. The length of both sections is 100mm. What will be the total elongation of the bar if it is subjected to the axial force of 100kN and E = 105 N/mm2?

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a

1.0

b

1.25

c

1.5

d

 2.0

answer is C.

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Detailed Solution

In a bar of different sections, the resultant strain is the algebraic sum of the individual stresses.

Elongation in section 1 = 100,000 x 100 / 100000 x100 = 1
Elongation in section 2 = 100,000 x 100 / 100000x 200 = 0.5
Total elongation = 1 + 0.5 = 1.5mm.

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