ECS221L10

ECS221L10 - Reduction of a System of Forces Problem Find...

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Reduction of a System of Forces Problem. Find the simplest representation of a system of forces such that its effect on a rigid body is unaltered.

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Recall … Step 1. F O r F O M When moving a force off its line of action we must add a couple with moment equal to moment of F about O. Step 2.
Reduction to a Force and a Couple Reduce the following force system to a system consisting of a single force and a single couple. F 2 F 3 F 1 r 2 r 1 r 3

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Move all forces to origin…                                       F O M F M 1 F R O M OR Resultant force and moment not generally perpendicular. 3 2
Equivalence Two systems of forces {F 1 , F 2 , …} and {F 1 ’, F 2 ’, …} acting on a rigid body are equivalent if they have the same resultant force and moment about a point. Equivalent if: F = F M O = M O

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Equipolence Two sets of vectors {F 1 , F 2 , …} and {F 1 ’, F 2
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ECS221L10 - Reduction of a System of Forces Problem Find...

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