Example 9.1 A structural steel rod has a
radius of 10 mm and a length of 1,0 m. A
100 kN foree stretches it along its length,
Calculate (a) stress, (b) elongation, and fe)
strain on the rod. Young's modulus, of
structural steel is 2.0 x 10" Nm,
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stress = force / area
Area on which force acted = (pi * d^2) / 4
where , d = diameter of rod
(a) stress = (100 x 1000) / (( pi * 10^2 )/4)
= 1273.23 N/mm^2
E = stress / strain
strain. = change in length / original length
therefore, (b) change in length (ie., Elongation)
= stress x original length / E
= (1273.23 x 1000) / ( 2 x 10^5)
= 6.366 mm
(c) percentage of elongation
= (6.366 / 1000) x 100
= 0.63 %
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