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ME 221 Statics Lecture #25 Sections 5.1 – 5.7

ME 221 Statics Lecture #25 Sections 5.1 – 5.7. Homework #9. Chapter 5 problems: 54, 56, 62, 64, 69, 71 & 73 Due Wednesday, November 6. Last Lecture. Equilibrium in 3 Dimensions. Statically Indeterminate Reactions. Equilibrium Equations.

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ME 221 Statics Lecture #25 Sections 5.1 – 5.7

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  1. ME 221 StaticsLecture #25Sections 5.1 – 5.7 Lecture 25

  2. Homework #9 Chapter 5 problems: • 54, 56, 62, 64, 69, 71 & 73 • Due Wednesday, November 6 Lecture 25

  3. Last Lecture • Equilibrium in 3 Dimensions • Statically Indeterminate Reactions Lecture 25

  4. Equilibrium Equations We have examined 2-dimensional systems and analyzed their equilibrium conditions using the following: The equilibrium conditions we used may be expressed as: Lecture 25

  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: Where the couple C is the sum of all applied couples on the body Lecture 25

  6. Equilibrium Equations If there are more than 6 unknown forces or couples, the problem is statically indeterminate. Lecture 25

  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 Lecture 25

  8. Statically Indeterminate Reactions Underconstrained system • Cannot maintain equilibrium Overconstrained systems • More unknown forces than equations Lecture 25

  9. Equilibrium Example Problems Lecture 25

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