3. The prismatic beam shown below is a W10x30 wide-flanged section with E = 29 x 10<sup>6</sup> psi,
(a) Determine the bending moment equation, $M(x)$, by making a cut and applying static
equilibrium.
(b) List two boundary conditions to solve for the integration constants.
(c) Determine the deflection equation, $v(x)$ by direct integration of the bending moment equation.
(d) Calculate the maximum deflection.
(e) Calculate the slope at the free end.
(f) Sketch the deflected shape.