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