12_ch 20 Mechanical Design budynas_SM_ch20

12_ch 20 Mechanical Design budynas_SM_ch20 -...

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12 Solutions Manual • Instructor’s Solution Manual to Accompany Mechanical Engineering Design 20-16 Fraction discarded is α + β . The area under the PDF was unity. Having discarded α + β fraction, the ordinates to the truncated PDF are multiplied by a . a = 1 1 + β) New PDF, g ( x ), is given by g ( x ) = ± f ( x )/ [1 + ] x 1 x x 2 0 otherwise More formal proof: g ( x ) has the property 1 = ² x 2 x 1 g ( x ) dx = a ² x 2 x 1 f ( x ) 1 = a ³² −∞ f ( x ) ² x 1 0 f ( x ) ² x 2 f ( x ) ´ 1 = a { 1 F ( x 1 ) [1 F ( x 2 ) ] } a = 1 F ( x 2 ) F ( x 1 ) = 1
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This note was uploaded on 12/13/2011 for the course EML 3013 taught by Professor Shingley during the Fall '11 term at UNF.

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