Answer to Question #100667 in Mechanics | Relativity for Magdalene

Question

by how much will a wrought iron bar 0.006m^2 in cross section area and 2m long shorten under a compressive load of 2500N, if the young modulus of wrought iron is 1.83 x 10^11N/m^2?

Answer 1

According to young modulus equation

$E=FL/A\Delta$L

Where F is applied Force, L is length of the iron bar, A is cross sectional area of the iron bar and

$\Delta L$ is shorten length

therefore,

$\Delta L=FL/AE$

$\Delta L=\frac{2500*2}{0.006*1.83 * 10^{11}} \newline$

$\Delta L=4.5537\mu m$