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Unformatted text preview: Step-by-step Solution Procedures for Solving Statics Problems Use the following general steps in solving statics problems in your homework and examinations. Marks will be deducted for skipping steps, and presenting solutions where notations other than normal, are not explained, and for using methods that are not clearly described. 1. Indentify the body you wish to analyze 2. Clearly draw the free-body diagram (FBD) of the body showing the complete set of forces acting on the body. Do not skip any force. Incomplete or incorrect FBD will lead to incorrect solutions. 3. In the case of a equilibrium problems, determine the number of unknowns you have introduced in your free-body diagram. Remember that a FBD will give you a vector equation of equilibrium. The total number of independent, scalar equations of equilibrium you can derive from a FBD, is 3, 2 or 1 for 3-D, 2-D or 1-D problems, respectively. 4. If you have more unknowns than the number of equations of equilibrium, look for more equations from the geometric constraints of the problem. 5. Solve the equations to yield the complete solution to the problem. 6. Some sample solutions to problems following the above steps are given here. Sample Solution 1 T h e ro c k e t e n g in e e x e rts a n u p e a rd fo rc e o f 4 M N (m e g a -N e w to n s ) o n th e te st sta n d . If y o u re so lv e th e fo rc e s in to v e c to r c o m p o n e ts p a ra lle l to th e b a rs A B a m d C D , w h a r a re th e m a g n itu d e s o f th e c o m p o n e n ts? Id e n tify th e p ro b le m : R e s o lv in g fo rc e in to c o m p o n e n ts B o d y : R o c k e t E n g in e S o lu tio n f r o m F o r e E q u a tio n s S h o w fo rc e d ia g ra m A nsw er FAB = 2.93 MN FCD = 3.59 MN Sample Solution 2 A fo rc e F = 4 0 0 N a c ts o n th e b ra c k e t. W h a t a re th e re a c tio n s at A and B ? N o te th a t P r o b le m T y p e : E q u ilib r im o f a R ig id B o d y S e le c te d B o d y fo r A n a ly s is : R ig id B r a c k e t D ra w F B D o f th e b ra c k e t W rite d o w n th e s c a la r e q u a tio n s o f e q u ilib riu m F o r e c -b a la n c e E q u a tio n s M o m e n t E q u a tio n s S o lu tio n ...
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