(30 points) A slender beam with a solid (1/4-round) cross-section made of an isotropic material is supported by pinned/roller supports and is loaded by tip loads P at either end. (a) Sketch the shear force and bending moment diagrams versus x using the given coordinate system. (b) Find the orientation of the neutral plane at x = 0 and sketch it. (c) Find the location and expression for the maximum compressive stress. P N L/4 + L/2 + X L/2 z' P a + L/4 Cross-section (magnified) y'