Lecture 23 sect 5.6

Lecture 23 sect 5.6 - The moment equation may also be...

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ME 221 Lecture 23 1 ME 221 Statics Lecture #23 Sections 5.6 & 5.7
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ME 221 Lecture 23 2 Homework #8 Chapter 9 problems: Chapter 5 problems: Due Today
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ME 221 Lecture 23 3 Homework #9 Chapter 5 problems: Due Friday, October 31
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ME 221 Lecture 23 4 Quiz #5 Today
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ME 221 Lecture 23 5 Last Lecture Equilibrium equations Free body diagrams Modeling supports
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ME 221 Lecture 23 6 Today Equilibrium in 3 Dimensions Statically Indeterminate Reactions
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ME 221 Lecture 23 7 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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ME 221 Lecture 23 8 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 ( ME 221 Lecture 23 9 Equilibrium Equations If there are more than 6 unknown forces or couples, the problem is statically indeterminate. ME 221 Lecture 23 10 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 ME 221 Lecture 23 11 Statically Indeterminate Reactions Underconstrained system Cannot maintain equilibrium Overconstrained systems More unknown forces than equations ME 221 Lecture 23 12 Quiz #5...
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Lecture 23 sect 5.6 - The moment equation may also be...

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