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Sol Cap 02 - Edicion 8

COSMOS: Complete Online

COSMOS: Complete Online Solutions Manual Organization System With P = Pj , at A: Σ F = 0: T + T + T + j = 0 AB AC AD P Equating the factors of i, j, and k to zero, we obtain the linear algebraic equations: i : − 0.190476T + 0.50847T − 0.158730T = 0 (1) AB AC AD j : −0.95238T − 0.84746T − 0.79365T + P = 0 (2) AB AC AD k : 0.23810T + 0.152542T − 0.58730T = 0 (3) AB AC AD In Equations (1), (2) and (3), set T AB = 3.6 kN, and, using conventional methods for solving Linear Algebraic Equations (MATLAB or Maple, for example), we obtain: T AC = T AD = 1.963 kN 1.969 kN P = 6.66 kN " Vector Mechanics for Engineers: Statics and Dynamics, 8/e, Ferdinand P. Beer, E. Russell Johnston, Jr., Elliot R. Eisenberg, William E. Clausen, David Mazurek, Phillip J. Cornwell © 2007 The McGraw-Hill Companies.

COSMOS: Complete Online Solutions Manual Organization System Chapter 2, Solution 108. Based on the results of Problem 2.107, particularly Equations (1), (2) and (3), we substitute T AC = 2.6 kN and solve the three resulting linear equations using conventional tools for solving Linear Algebraic Equations (MATLAB or Maple, for example), to obtain T AB = T AD = 4.77 kN 2.61 kN P = 8.81 kN ! Vector Mechanics for Engineers: Statics and Dynamics, 8/e, Ferdinand P. Beer, E. Russell Johnston, Jr., Elliot R. Eisenberg, William E. Clausen, David Mazurek, Phillip J. Cornwell © 2007 The McGraw-Hill Companies.

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