Question

A bolt is needed to attach an actor's harness to a wire across a stage. The bolt is 5, point, 0, c, m,5.0cm long with a 0, point, 25, c, m, squared,0.25cm
2 cross sectional area, and must extend by no more than 0, point, 020, m, m,0.020mm when supporting a 900, k, g,900kg mass. Calculate the minimum value of Young's Modulus of a material if it is to be suitable.

Answer 1

Solution:

$Y=\frac{σ}{ε}=\frac{\frac{F}{A}}{\frac{ΔL}{L}}=\; \frac{FL}{AΔL}$

$Y=\frac{900kg*9.8(\frac{m}{s^2})*0.050m}{0.25*10^{-4}m^2*0.02*10^3m}$

$Y=8.82*10^{11}\;Pa\;◄ minimum$