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Lecture 24 sect 5.7

Lecture 24 sect 5.7 - ∑ = C F x r ME 221 Lecture 24 6...

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ME 221 Lecture 24 1 ME 221 Statics Lecture #24 Sections 5.1 – 5.7

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ME 221 Lecture 24 2 Homework #9 Chapter 5 problems: Due Friday, October 31
ME 221 Lecture 24 3 Last Lecture Equilibrium in 3 Dimensions Statically Indeterminate Reactions

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ME 221 Lecture 24 4 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 = = = = = =
ME 221 Lecture 24 5 Equilibrium Equations For 3-dimensional systems, we use the same equilibrium equations, except we write them in vector form: The moment equation may also be written as: = = 0 M & 0 F o Where the couple C is the sum of all applied couples on the body

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Unformatted text preview: ∑ = + C ) F x r ( ME 221 Lecture 24 6 Equilibrium Equations If there are more than 6 unknown forces or couples, the problem is statically indeterminate. ME 221 Lecture 24 7 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 24 8 Statically Indeterminate Reactions Underconstrained system Cannot maintain equilibrium Overconstrained systems More unknown forces than equations ME 221 Lecture 24 9 Equilibrium Example Problems...
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Lecture 24 sect 5.7 - ∑ = C F x r ME 221 Lecture 24 6...

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