Discussion+session4 - ENGR 30 STATICS Discussion Session 4...

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ENGR 30 STATICS Discussion Session 4 Winter 2017 1
Fundamental Concepts Equivalent Forces System A B C D F A B C D F M A =Fd d d A B C D F F F A B C D F F F A B C D F F F d 2F 2F d/2
Fundamental Concepts Equivalent Forces System A B C D F 1 A B C D F R M R d d A B C D F R F 2 F 3 F 4 F 5 F R =∑F=F 1 +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
Homework A 500-N force is applied to a bent plate as shown. Determine (a) an equivalent force- couple system at B, (b) an equivalent system formed by a vertical force at A and a force at B. F=500 N A B M B F=500 N A B m N O
Homework A 500-N force is applied to a bent plate as shown. Determine (a) an equivalent force- couple system at B, (b) an equivalent system formed by a vertical force at A and a force at B. F=500 N A B N d M P 22 . 689 125 . 0 153 . 86 : point A At (b) Equivalence requires M B =86.2 N•m P -P N F N B 1150 23 . 1122 250 23 . 1122 250 ) 22 . 689 ( 2 2 j i P F F j P : B pint At B 77.4°
Homework 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

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