Lecture+18 - 440:221 Intro to Engineering Mechanics Statics...

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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 Method of the joints 2
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440:221 Lectures School of Engineering, Fall 2011 Topics to be covered • How do we analyze simple truss structures using the method of the joints? 3
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440:221 Lectures School of Engineering, Fall 2011 You can easily prove these results by applying the equations of equilibrium to joints D and A. If a joint has only two non-collinear members and there is no external load or support reaction at that joint, then those two members are zero-force members. In this example members DE, DC, AF, and AB are zero force members. Zero-force members can be removed (as shown in the figure) when analyzing the truss. Shortcut – Zero-force members
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440:221 Lectures School of Engineering, Fall 2011 If three members form a truss joint for which two of the members are collinear and there is no external load or reaction at that joint, then the third non-collinear member is a zero force member. Again, this can easily be proven. One can also remove the zero-force member, as shown, on the left, for analyzing the truss further. Please note that zero-force members are used to increase stability and rigidity of the truss, and to provide support for various different loading conditions. Zero-force members
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440:221 Lectures School of Engineering, Fall 2011 A free body diagram of Joint B Method of the joints When using the method of joints to solve for the forces in truss
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Lecture+18 - 440:221 Intro to Engineering Mechanics Statics...

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