ch5_3_StudentNotesF2010

ch5_3_StudentNotesF2010 - EQUATIONS OF EQUILIBRIUM IN 2-D...

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EQUATIONS OF EQUILIBRIUM IN 2-D Today’s Objectives: a) Apply equations of equilibrium to solve for unknowns, and, b) Recognize two-force members. In-Class Activities: Applications Equations of equilibrium Two-force members Questions and problems
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APPLICATIONS For a given load on the platform, how can we determine the forces at the joint A and the force in the link (cylinder) BC?
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APPLICATIONS (continued) A steel beam is used to support roof joists. How can we determine the support reactions at each end of the beam?
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EQUATIONS OF EQUILIBRIUM (Section 5.3) A body is subjected to a system of forces that lie in the x-y plane. When in equilibrium, the net force and net moment acting on the body are zero (as discussed earlier in Section 5.1). This 2-D condition can be represented by the three scalar equations: F x = 0 F y = 0 M O = 0 Where point O is any arbitrary point. Please note that these equations are the ones most commonly used for solving 2-D equilibrium problems. There are two other sets of equilibrium equations that are rarely used. For your reference, they are described in the textbook.
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