Question

(2)A system of three forces and a couple act on a square plate ADEC as shown. 12 kN 20 kNm F 6 kN Evaluate the statically equivalent system of forces F, F2 and F3 which act along the sides of the equilateral triangle ABC ( These forces are not proportional to the sides of the triangle.) 650 10 kN reaceses F F. 2 m F2 18.4 kN F1 22.48 k N F2 16.78 kN and F 3 20.7 kN F1 12.7 kN. and F 3= 13.4 kN a 4 m A F3 b F1 = 42.48 kN. F2 36.78 kN and F3 = 40.7 kN 33.4 kN F1 32.7 kN. F2 = 38.4 kN d and F 3

Answer 1

For Static Eauilibium 2 Fo 1Fyo So, F, cos 60 + 6 F2cos 6oO 10 cos 45 FO Fi+ Fr t 12 -2F3 20 2 yo FrSin6o +12- to sinus F2sn 30 0 Fi 24 - 20 o 2 M A O 2x 4su600 6X 4 + 20 + lo x 2 cos 45 + 24 20 + 20 +2 FO Saving them, we gue TF 止 22.48 KN IFalニ 16·79KN and F ニ 20-子 K hene, option (b) is corect