Chapter 31, Problem 5P

To determine

To calculate: The deflection for $A_c=0.1{\text{ m}}^2$, $E=200\times {10}^9{\text{ N/m}}^2$, $L=1\text{0 m}$, and $P\left(x\right)=100\text{0 N/m}$, if the bar is rigidly fixed at both end. Poisson equation which occurs in mechanics for the vertical deflection of a bar with a distributed load is,

$A_{c}E\frac{{\partial }^{2}u}{\partial x^2}=P\left(x\right)$

And employ a value of $\Delta x=\text{2 m}$.