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Unformatted text preview: Topics Concurrent Force Systems Solution of statically indeterminate problems Use of MATLAB fzero, fsolve functions Equilibrium of Concurrent Forces Definition of concurrent forces: forces that all act through a common single point P Equilibrium A system of concurrent forces is in equilibrium if the resultant force is zero F1 F2 F3 In terms of components x y z = F x y z F F F = = = Free body diagram x y 2D Concurrent Force System 500 lb TA 500 T B P P A ring is acted upon by a force TA and a 500 lb force as shown. Determine TA and the force the support exerts on the ring. TA 30o 45o + + 30o 45o This is a statically determinate problem since we can solve for all the unknowns from equilibrium lb lb x y F F = = ( 29 ( 29 500 cos 30 cos 45 A T = ( 29 ( 29 500sin 30 sin 45 A B T T + = 612.4 A T = 683 B T = 3 3 4 W d T1 T2 T3 If the weight W = 10 lb and the spring constant k = 2 lb/in for all the springs, determine the vertical distance, d, the weight will move and the tensions in the springs....
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 Fall '08
 Boylan

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