Solve Prob 824 using Castiglianos theorem Data from Prob 824 Determine the slope and displacement at the end A of the beam Take E 29(10 3 ) ksi, I 170 in 4 Use the method of virtual work Castigliano's Theorem Setting P 20 kN, its actual value, and applying Eq 8 28, 3 kN Ac 3 kN x 1 2 m 0 M M (34x4x1)(0 5x1) dx (18x2)(0 5x) dx2 JM dx aP EI 234 7 kNm 192 kN m M' (c) Fig 8 28 M 5 426 7 kN m

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Question: Solve Prob. 824 using Castiglianos theorem. Data from Prob. 824 Determine the slope and displacement at the end A of the beam. Take E =

Solve Prob. 8–24 using Castigliano’s theorem. Castigliano's Theorem. Setting P = 20 kN, its actual value, and applying

Data from Prob. 8–24

Determine the slope and displacement at the end A of the beam. Take E = 29(10³) ksi, I = 170 in⁴. Use the method of virtual work. Eq. 8-28, 3 kN Ac 3 kN = = = |x|1 -

Castigliano's Theorem. Setting P = 20 kN, its actual value, and applying Eq. 8-28, 3 kN Ac 3 kN = = = |x|1 - 2 m 0 M M (34x4x1)(0.5x1) dx *(18x2)(0.5x) dx2 JM dx aP/EI 234.7 kNm 192 kN.m M' (c) Fig. 8-28 + M 5 426.7 kN m

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