mws_mec_nle_txt_secant_examples

mws_mec_nle_txt_secant_examples - Chapter 03.05 Secant...

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Secant Method of Solving a Nonlinear Equation – More Examples Mechanical Engineering Example 1 A trunnion has to be cooled before it is shrink fitted into a steel hub. Figure 1 Trunnion to be slid through the hub after contracting. The equation that gives the temperature to which the trunnion has to be cooled to obtain the desired contraction is given by f T   0 10 88318 . 0 10 74363 . 0 10 38292 . 0 10 50598 . 0 2 4 2 7 3 10 T T T T f f f f f f T Use the secant method of finding roots of equations to find the temperature to which the trunnion has to be cooled to. Conduct three iterations to estimate the root of the above equation. Find the absolute relative approximate error at the end of each iteration and the number of significant digits at least correct at the end of each iteration. Solution Let us take the initial guesses of the root of   0 f T f as 110 1 , f T and . 130 0 , f T Iteration 1 The estimate of the root is 1 , f T     1
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This note was uploaded on 06/12/2011 for the course EML 3041 taught by Professor Kaw,a during the Spring '08 term at University of South Florida.

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mws_mec_nle_txt_secant_examples - Chapter 03.05 Secant...

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