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Engineering
Statics
Statics- By Beer/ Johnston
Chapter 4- Static Equilibrium of Rigid Bodies
Static Equilibrium in 2D
Static Equilibrium of a Two and Three-Force Bodies



 
Now that you know how to solve static equilibrium problems there are a few tricks we can derive to help speed up the solution of some statics problems.

Two Force Members are members that are pinned at both ends with no forces applied between the ends and no moments applied anywhere. If you have a situation like this then the forces at the pins must be directed from one pin to the other. Therefore the only unknown is one force, rather than two components since you know the direction of the resulting force.

Three Force Bodies are objects that have only three forces acting on it. If you know the direction of two of them, then the third force must be directed to the intersection of the other two forces. Knowing this you now know the direction of the third force.

I'll walk you through the derivation and then some examples on how to use these concepts.



 
 
Equilibrium of a Two-Force Body (4-21) Support Materials:
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Equilibrium of a Three-Force Body (4-22) Support Materials:
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Statics Example (4-23) Support Materials:
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Statics Example (4-24) Support Materials:
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Statics Example (4-25) Support Materials:
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Statics Example (4-26) Support Materials:
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