x y z b a c O A B C D E F1 F2 F3 M1 M2 A-4 Faculty of M

x y z b a c O A B C D E F1 F2 F3 M1 M2 A-4 Faculty of Mechanical Engineering Statics homework Name: Dept. of Applied Mechanics 1. Neptun code: B 1 2 3 4 5 C 1 2 3 4 5 D 1 2 3 4 5 a [m] 01 02 03 04 05 b [m] 03 02 04 05 06 c [m] 04 06 05 05 03 F1x [kN] 5 1 -2 3 2 F1y [kN] -1 06 -2 08 -1 F1z [kN] -1 -2 07 13 21 M2 [kNm] 13 05 21 14 12 F2 [kN] 1 07 09 22 2 F3 [kN] 13 12 21 1 05 M1x [kNm] 14 -2 08 05 -1 M1y [kNm] 05 15 1 -1 13 M1z [kNm] 03 04 05 06 07 A B C D F [kN] Mx [kNm] My [kNm] Mz [kNm] xG [m] yG [m] zG [m] G M [kNm] x y z b a c O A B C D E F1 F2 F3 M1 M2 A-3 x y z b a c O A B C D E F1 F2 F3 M1 M2 A-2 x y z b a c O A B C D E F1 F2 F3 M1 M2 A-1 The spatial force system shown in the figure consists of the forces F1 F2 F3 and moments M1 M2. The forces F1 F2 and F3 act at points A(a 0 0) B(a b 0) and E(a b c) respectively. 1. Reduce the force system at the origin of the given coordinate system. [F MO]O = ? 2. Determine the position vector pointing to the special point G(xG yG zG) of the central line such thatOG F . 3. Determine the simplest representation of the force system i.e. reduce the force system at point G. [F MG]G = ?
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