mws_mec_ode_txt_runge2nd_Examples

mws_mec_ode_txt_runge2nd_Examples - Chapter 08.03...

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08.03.1 Chapter 08.03 Runge-Kutta 2nd Order Method for Ordinary Differential Equations-More Examples Mechanical Engineering Example 1 A solid steel shaft at room temperature of C 27 o is needed to be contracted so that it can be shrunk-fit into a hollow hub. It is placed in a refrigerated chamber that is maintained at C 33 o . The rate of change of temperature of the solid shaft is given by  33 588 5 10 42 5 10 35 1 10 33 2 10 69 3 10 33 5 2 2 3 3 5 4 6 6 θ . θ . θ . θ . θ . . dt d θ C 27 0 θ Using the Runge-Kutta 2 nd order method, find the temperature of the steel shaft after 86400 seconds. Take a step size of 43200 h seconds. Solution 33 588 5 10 42 5 10 35 1 10 33 2 10 69 3 10 33 5 2 2 3 3 5 4 6 6 θ . θ . θ . θ . θ . . dt d θ 33 588 5 10 42 5 10 35 1 10 33 2 10 69 3 10 33 5 2 2 3 3 5 4 6 6 θ . θ .
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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_ode_txt_runge2nd_Examples - Chapter 08.03...

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