Solution to Problem 691 | Beam Deflection by Method of Superposition Problem 691 Determine the midspan deflection for the beam shown in Fig. P-691. (Hint: Apply Case No. 7 and integrate.) Solution 691 Click here to expand or collapse this section From Case No. 7, the midspan deflection is δ=Pb48EI(3L2−4b2) when a>b For the given beam P=wodx b=x δ=2∫a0(wodx)x48EI(3L2−4x2) δ=wo24EI∫a0(3L2x−4x3)dx δ=wo24EI[3L2x22−x4]a0 δ=wo24EI[3L2x2−2x42]a0 δ=wo48EI[3L2a2−2a4] δ=woa248EI(3L2−2a2) answer Tags simple beam Uniformly Distributed Load Symmetrical Load Simply Supported Beam midspan deflection rectangular load Log in or register to post comments Book traversal links for Solution to Problem 691 | Beam Deflection by Method of Superposition Solution to Problem 690 | Beam Deflection by Method of Superposition Up Solution to Problem 692 | Beam Deflection by Method of Superposition