Lecture 12 - The moment equation may also be written as: =...

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ME221 Lecture 12 1 ME 221 Statics Lecture #12 Sections 5.6 – 5.7
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ME221 Lecture 12 2 Homework #5 Chapter 9 problem: 43 Chapter 5 problems Due Monday, June 21 MatLab Group Problems 5.22, 5.37 & 5.58 Due Monday, June 21
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ME221 Lecture 12 3 Quiz #5 Today
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ME221 Lecture 12 4 Exam #2 Monday, June 21
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ME221 Lecture 12 5 Chapter 5 Equilibrium of Rigid Bodies
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ME221 Lecture 12 6 Last Lecture Equilibrium equations Free body diagrams Modeling supports
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ME221 Lecture 12 7 Today Equilibrium in 3 Dimensions Statically Indeterminate Reactions
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ME221 Lecture 12 8 Equilibrium Equations We have examined 2-dimensional systems and analyzed their equilibrium conditions using the following: ~ ~ 0 and 0 F M = = The equilibrium conditions we used may be expressed as: 0 0 0 0 0 0 x x y y z z F M F M F M = = = = = =
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ME221 Lecture 12 9 Equilibrium Equations For 3-dimensional systems, we use the same equilibrium equations, except we write them in vector form:
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Unformatted text preview: The moment equation may also be written as: = = M & F o Where the couple C is the sum of all applied couples on the body = + C ) F x r ( ME221 Lecture 12 10 Equilibrium Equations If there are more than 6 unknown forces or couples, the problem is statically indeterminate. ME221 Lecture 12 11 Solving Equilibrium Equations Draw a proper free body diagram Write each force and couple as a vector Draw position vectors from the origin to the line of action of each force Write the vector equations of static equilibrium 6 equations, 6 unknowns ME221 Lecture 12 12 Statically Indeterminate Reactions Underconstrained system Cannot maintain equilibrium Overconstrained systems More unknown forces than equations ME221 Lecture 12 13 Example ME221 Lecture 12 14 Quiz #5...
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Lecture 12 - The moment equation may also be written as: =...

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