A member of uniform rectangular cross section 50 mm by 100 mm (Figure 16.9) is subjected to a bending moment of \( M=24 \mathrm{kN} \mathrm{m} \). Assuming that the member is made of an elasto-plastic material with a yield stress of 240 MPa and a modulus of elasticity of 200 GPa , determine (a) depth of elastic core (Figure 16.9), (b) plastic moment \( M_{p} \), and (c) the radius of curvature of the neutral surface. Figure 16.9