mws_mec_int_txt_simpson13_examples

mws_mec_int_txt_simpson13_examples - Chapter 07.03 Simpsons...

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07.03.1 Chapter 07.03 Simpson’s 1/3 Rule for Integration-More Examples Mechanical Engineering Example 1 A trunnion of diameter 3 36 . 12 has to be cooled from a room temperature of F 80 before it is shrink fit into a steel hub (Figure 1). Figure 1 Trunnion to be slid through the hub after contracting. The equation that gives the diametric contraction, in inches of the trunnion in dry-ice/alcohol (boiling temperature is F 108 ) is given by:  108 80 6 9 2 11 10 015 . 6 10 1946 . 6 10 2278 . 1 363 . 12 dT T T D a) Use Use Simpson’s 1/3 Rule to find the approximate value of D . b) Find the true error, t E , for part (a). c) Find the absolute relative true error for part (a). Solution a) ) ( 2 4 ) ( 6 b f b a f a f a b D 80 a 108 b 14 2 b a   6 9 2 11 10 015 . 6 10 1946 . 6 10 2278 . 1 363 . 12 ) ( T T T f
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07.03.2 Chapter 07.03        6 9 2 11 10 015 . 6 80 10 1946 . 6 80 10 2278 . 1 363 . 12 80 f 5 10 9519 . 7        6 9 2 11 10 015 . 6 108 10 1946 . 6 108 10 2278 . 1 363 . 12 108
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mws_mec_int_txt_simpson13_examples - Chapter 07.03 Simpsons...

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