Question

2. (8 points) Use Integration method, determine the slope and deflection at x = 2 m from the support. E=200 GPa and I=65x10 mm 1

Answer 1

V Given, E = 200 GPa = 2x16 IOKN A I = 65 x 106 mm 4 Kimk K 2m 3m EI = 13000 kn-m? ka we know that EI DV loxo dx2 NOW Integrate w.rit i El du da = 10x + + C, Boundary Condition, at x= 3m @ dy = 0 -> 0 = 1013)+ e, slope equation becomes C, = -30 EI dv = 10X - 30 da NOW at x = im je 2m hom Support OA EIOA 100) -30 -20 → -3 OA = -1.538 Xio radiang 13000 Again Integrate, 2 EIV = 10x 2 a 30x + q at x=3m @v=o 0 = 1063)2 - 30(3) + C₂ = C = 45 2 Elastic cove equation becomes, 10x² EI VE - 30x +45 2 at deflection hom am from fixed support. at x = im @ . 13000 V - A 100032 -30(1) +45 2 VA 20 13000 A = 1.5385 mm (1) * 1000 -)