Lecture+15 - 440:221 Intro to Engineering Mechanics:...

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440:221 Intro to Engineering Mechanics: Statics 1 Fall 2011 Based on Textbook Material: Engineering Mechanics Statics, 12 th Edition, R.C. Hibbeler, Pearson 2010. Alberto Cuitino, Po Ting Lin Instructors Arturo Villegas Assistants
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440:221 Lectures School of Engineering, Fall 2011 Equilibrium of a RIGID BODY 2
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440:221 Lectures School of Engineering, Fall 2011 Topics to be covered • How do we solve 2D equilibrium problems? • What is the difference between 2D and 3D? • Do we need a FBD in 3D? 3
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440:221 Lectures School of Engineering, Fall 2011 2. The beam AB is loaded and supported as shown: a) how many support reactions are there on the beam, b) is this problem statically determinate, and c) is the structure stable? A) (4, Yes, No) B) (4, No, Yes) C) (5, Yes, No) D) (5, No, Yes) 1. For this beam, how many support reactions are there and is the problem statically determinate? A) (2, Yes) B) (2, No) C) (3, Yes) D) (3, No) FF F F F Fixed support A B Concept Quiz D) D) B) B)
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440:221 Lectures School of Engineering, Fall 2011 1. If not given, establish a suitable x - y coordinate system. 2. Draw a free body diagram (FBD) of the object under analysis. 3. Apply the three equations of equilibrium (E-of-E) to solve for the unknowns. Steps for solving problems
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440:221 Lectures School of Engineering, Fall 2011 1. If there are more unknowns than the number of independent equations, then we have a statically indeterminate situation. We cannot solve these problems using just statics. 2. The order in which we apply equations may affect the simplicity of the solution. For example, if we have two unknown vertical forces and one unknown horizontal force,
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Lecture+15 - 440:221 Intro to Engineering Mechanics:...

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