Chapter 28, Problem 26P

The basic differential equation of the elastic curve for a cantilever beam (Fig. P28.26) is given as

$\text{}EI\frac{d^{2}y}{d{x}^2}=p\left(L-x\right)$

Where $E=\text{the}$ modulus of elasticity and $I=\text{the}$ moment of inertia. Solve for the deflection of the beam using a numerical method. The following parameter values apply: $E=30,000$ Ksi, $I=800{\text{in}}^4$, $p=1\text{Kip, L=10 ft}$ Compare your numerical results to the analytical solution,

$y=-\frac{PL{x}^2}{2EI}+\frac{P{x}^3}{6EI}$

FIGURE P28.26