mws_mec_sle_txt_seidel_examples

mws_mec_sle_txt_seidel_examples - Chapter 04.08...

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04.08.1 Chapter 04.08 Gauss-Seidel Method – More Examples Mechanical Engineering Example 1 A trunnion of diameter " 363 . 12 has to be cooled from a room temperature of F 80 ° before it is shrink fitted into a steel hub (Figure 1). Figure 1 Trunnion to be slid through the hub after contracting. The equation that gives the diametric contraction D of the trunnion in a dry-ice/alcohol mixture (boiling temperature is F 108 ° ) is given by = 108 80 ) ( 363 . 12 dT T D α The equation for the thermal expansion coefficient, 2 3 2 1 T a T a a + + = , is obtained using regression analysis where the constants of the model are found by solving the following simultaneous linear equations. × × = × × × × × × 56799 . 2 10 04162 . 1 10 057 . 1 10 24357 . 5 10 86472 . 1 10 26 . 7 10 86472 . 1 10 26 . 7 2860 10 26 . 7 2860 24 2 4 3 2 1 10 8 5 8 5 5 a a a Find the values of 1 a , 2 a , and 3 a using the Gauss-Seidel method. Use = 0 0 0 3 2 1 a a a
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04.08.2 Chapter 04.07 as the initial guess and conduct two iterations. Solution
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mws_mec_sle_txt_seidel_examples - Chapter 04.08...

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