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lctr11_s12

# lctr11_s12 - 3. R=F=(Fxi)i(Fyi)j(Fzi)k=0 or Fxi=0 Fyi=0...

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§ 3.3  Particle equilibrium in 3-D Static equilibrium requires: R  =  Σ   F  = ( Σ  F xi)  +  ( Σ  F yi)  + ( Σ  F zi)  k  =  0 or ... Σ  F xi  = 0 Σ  F yi  = 0 Σ  F zi  = 0 Procedure:  Draw FBD(s), apply equations of equilibrium .

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y z x 6 50 kg 2 A B C All dimensions are in meters. 2 3 3 2.5 6 D g Example 1 :  Find the cable tensions. A:      FAB  = 580 N  FAC = FAD  = 312 N
Example 2 (PGC, Problem 3.61)  :  Member  OA  buckles when the compressive force it  supports reaches 400 N.  Cables  AC  and  AD  each have 300 N breaking strength.  Assuming  the cabling between  A  and  B  is sufficiently strong, determine the force  T  that will cause the  structure to fail. Assume the pulleys are frictionless with diameters that are small enough so  that all cables between  A  and  B  are parallel to line  AB .

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Example 3 (Problem 3.63, PGC) :  A
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lctr11_s12 - 3. R=F=(Fxi)i(Fyi)j(Fzi)k=0 or Fxi=0 Fyi=0...

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