Question

50 KN 40 KN 20 AN 30 AN 50 kNm 2m 2m 20 N 20KN kNm 4 m 10 KN 2 m 3 m

Draw shear force and bending moment diagrams for the following, giving all principal values.

Answer 1

Draw SFD & BMD R_A + R_B = 50 kN R_B times 3 = 50 times 2 R_B = 33 KN R_A = 16.66 kN R_C + R_D = 73.33 kN R_D times 2 = -33.33 times 1 + 40 times 1 R_D = 3.335 R_C = 69.995 kN SFD calculation SFat D = 3.335 (-ve) sFat e = -3.335 + 40 = 36.665 s Fat c = 33.33 kN SF at A = 16.66 kN BMD B M at A, B times 0 = 0 BMat e = 3.355 times 1 = 3.335 kNM M Mat C = 3.335 times 2 - 40 times 1 = -33.33 kNM B Mat B = 3.335 times 3 - 40 times 2 + 69.99 times 1 = 0 B MAt f = 3.335 times 4 - 40 times 3 + 69.995 times 2 = 33.33 kNM \r\n DRAW SAFD R_A + R_B = 20 + 30 = 50 kN Sigma mA = 0 R_B times 8 = 20 times 2 + 30 times 6 - 50 R_B = 21.25 kN R_A = 28.75 kN SFD at A = 28.75 kN at B = 21.25 kw at C = 875 kN BMD at A times B = 0