F 2 f 3 f 4 f 5 m r m a m 1a m 2a m 3a m 4a m 5a x m

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+F 2 +F 3 +F 4 +F 5 M R =∑M A =M 1A +M 2A +M 3A +M 4A +M 5A x M R =F R x
10 Sample Problem A 6 × 12-in. plate is subjected to four loads as shown. (a) Find the an equivalent force-couple system at C; (b) find resultant of the four loads and the two points at which the line of action of the resultant intersects the edge of the plate. First calculate resultant force and total moment: B E j C j i B i A = = + = = 20 45 sin 50 45 cos 50 40 in lb . - = = + = + + + = k B r M j i E C B A R b - c C 13 212 20 40 M C R C If only use the single resultant force to replace the original system: R C m n x y
11 Sample Problem A 6 × 12-in. plate is subjected to four loads as shown. (a) Find the an equivalent force-couple system at C; (b) find resultant of the four loads and the two points at which the line of action of the resultant intersects the edge of the plate. in lb . - = = + = + + + = k B r M j i E C B A R b - c C 13 212 20 40 If only use the resultant force to replace the original system: R C(0,0) m n x y . 61 . 10 20 13 . 212 in x x x = = = = R r M i r m - c C m - c . 30 . 5 2 in x y = =
12 Sample Problem

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