24.16 The basic differential equation of the elastic curve for a simply supported, uniformly loaded beam (Fig. P24.16) is given as dx where E = the modulus of elasticity and I= the moment of inertia. The boundary conditions are y(0) = y(L) = 0. Solve for the deflection of the beam using (a) the finite-differ- ence approach (Ax = 0.6 m) and (b) the shooting method. The following parameter values apply: E = 200 GPa, I = 30,000 cm, 15 kN/m, and L = 3 m. Compare your numerical results to the analytical solution: wLx wx wl³x y: 12EI 24EI 24E1 0 y -x FIGURE P24.16 W L