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interacting bodies - TAM 210/211 Engineering Mechanics...

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1 Lecture 13 Interacting Bodies Stephen D. Downing Mechanical Science and Engineering © 2001 - 2007 University of Illinois Board of Trustees, All Rights Reserved TAM 210/211 Engineering Mechanics: Statics TAM 210/211 - Lecture 10 © 2007 Stephen Downing, University of Illinois at Urbana-Champaign, All Rights Reserved 1 of 16 Equilibrium Solution Process Create FBD Show external applied forces Show reaction forces at connections Show needed dimensions to forces Scalar Method (2D) Express all forces as x and y components Use Σ F x =0, Σ F x =0, Σ M p =0 Vector Method (2D or 3D) Express all forces in terms of unit vectors, i, j, k Use Σ F =0, Σ M p =0 Separate i, j, k components for into independent equations 2D – 3 equations, 3D – 6 equations Solve equations
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2 TAM 210/211 - Lecture 10 © 2007 Stephen Downing, University of Illinois at Urbana-Champaign, All Rights Reserved 2 of 16 Scalar Method 3m 3m 2m 100 N/m 150 N TAM 210/211 - Lecture 10 © 2007 Stephen Downing, University of Illinois at Urbana-Champaign, All Rights Reserved 3 of 16 Vector Method 3m 3m 2m 100 N/m 150 N
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