1 / 9

ME 221 Statics Lecture #25 Sections 5.1 – 5.7

Explore Equilibrium Equations for 3-dimensional systems, understanding statically determinate and indeterminate reactions, and solving example problems. Learn how to draw free body diagrams, write vector equations, and analyze underconstrained and overconstrained systems. Lecture 25 covers Chapter 5 problems 54, 56, 62, 64, 69, 71, and 73 due on Wednesday, November 6.

nperes
Download Presentation

ME 221 Statics Lecture #25 Sections 5.1 – 5.7

An Image/Link below is provided (as is) to download presentation Download Policy: Content on the Website is provided to you AS IS for your information and personal use and may not be sold / licensed / shared on other websites without getting consent from its author. Content is provided to you AS IS for your information and personal use only. Download presentation by click this link. While downloading, if for some reason you are not able to download a presentation, the publisher may have deleted the file from their server. During download, if you can't get a presentation, the file might be deleted by the publisher.

E N D

Presentation Transcript

  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

More Related