Lecture 08

# Lecture 08 - Lecture 08 RESULTANTS OF A FORCE AND COUPLE...

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Statics: Lecture Notes for Sections 4.8-4.9 1 Lecture 08 * RESULTANTS OF A FORCE AND COUPLE SYSTEM * FURTHER REDUCTION OF A FORCE AND COUPLE SYSTEM Section 4.8-4.9 Ehab Zalok RESULTANTS OF A FORCE AND COUPLE SYSTEM (Section 4.8) When several forces and couple moments tb d h f act on a body, you can move each force and its associated couple moment to a common point O. Now you can add all the forces and couple moments together and find one resultant force-couple moment pair. 2

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Statics: Lecture Notes for Sections 4.8-4.9 2 RESULTANT OF A FORCE AND COUPLE SYSTEM (continued) If the force system lies in the x-y plane (the 2-D case), then the reduced equivalent system can be obtained using the following 3 three scalar equations. FURTHER REDUCTION OF A FORCE AND COUPLE SYSTEM (Section 4.9) = = 4 If F R and M RO are perpendicular to each other, then the system can be further reduced to a single force, F R , by simply moving F R from O to P. In three special cases, concurrent, coplanar, and parallel systems of forces, the system can always be reduced to a single force.
Statics: Lecture Notes for Sections 4.8-4.9 3 EXAMPLE #1 Given: A 2-D force as shown.

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Lecture 08 - Lecture 08 RESULTANTS OF A FORCE AND COUPLE...

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