For the cantilever steel beam [E = 190 GPa; I = 113 x 10 mm4), use the double-integration method to determine the deflection VA at A. Assume L = 2.3 m, P = 51 kN, and w = 28 kN/m. B L Answer: VA = 17.2 or 14.195 mm.

A simply supported beam with P1=76kN, P2=50 kN and w=31kN/m has the loadings shown. If the value of x is 3.7m, calculate the deflection at B in terms of EI Answer: -6,406.2523 Need solution

4 m 3 kN/m 3 m 50 KN 3 m AB 4. A steel beam with EI = 16 × 106 N. m² is loaded as shown in figure. a. Find the slope and deflection at x = 7, using Castigliano's theorem. b. Find the slope and deflection at x = 5, using Castigliano's theorem. c. Find the maximum deflection and its location along the beam, using Castigliano's theorem.