A structural steel rod has a radius of 10 mm and a length of 1.0 m. A 100 KN force stretches it along its length. Calculate (a) stress, (b) elongation, and (c) strain on the rod. Young's modulus, of structural steel is `2.0xx10^(11)Nm^(-2)`.

Explanation

(a) Given Stress`=(F)/(A)=(F)/(pir^(2))`
`=(100xx10^(3)N)/(3.14xx(10^(-2)m)^(2))=3.18xx10^(8)Nm^(-2)`
(b) The elongation,
`DeltaL=((F//A)L)/(Y)`
`=((3.18xx10^(8)Nm^(2))(1m))/(2xx10^(11)Nm^(-2))`
`=1.59xx10^(-3)m`
`=1.59mm`
(c) The strain is given by
Strain=`DeltaL//L`
`=(1.59xx10^(-3))km=1.59xx10^(-3)=0.16%`.