hw5sol

hw5sol - ME363 51(a Homework#5 Solution FromTable2.3 = 220...

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ME 363 Homework #5 Solution 5 1 (a) From Table 2.3 () 0.2 22 0 11 00 1 0 1 2 1 220 0.20 1.5 ln ln -0.51 2.5 220(0.51) 192.3 2.5 1.25 1.61" 44 1 . 5 1.61 1.07 1.5 0.2 1.61 192.3 1 192.3 1.07 205.7 31 . 5 20 4 may o n f a a an h h a h dh d d h d h PM FP d ε σε ππ π Κ= ΜΡ = == = = = = = × ⎛⎞ =+ = × = ⎜⎟ × ⎝⎠ = P a 2 4 -1 5.7 1.61 2.54 10 4 2.7 10 270 50,701 M NK N l ×× × × = b s (b) () ( ) 0.16 2 -4 -1 10 6.67 1.5 50 6.67 67.7 9,819 67.7 1.07 72.5 72.5 1.61 2.54 10 4 0.95 10 95 21,358 m f a h CM P a P a F MN KN lbs l b s υ == = =× = = =×= × × × = ± ± 33 1 6.895 10 6.895 10 . psi Pa MPa
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5 2 () 00 2 0 22 0 0.18 1020 400 10 7 200 200 620 0.18 150 0.1 ( ) - 3 3 200 200 0.12 10 ( ) ln ln 0.357 7 620(0.357) 43 11 . 1 8 f f f n avg AISI w mm h mm h mm Rm m Nr p m KM P a n C m ah h m m R h b h Y n μ μμ ε == = = = =< =≥ === Κ = + -6 6 6- 2 6.5 . ' 436.5 504 . 33 ' 200(10 - 7) 24.5 24.5 400 10 504 10 4.94 0.12 24.5 (1 ) 4.94 1 4.94 1.17 5.78 2 2 8.5 2 2 5.78 10 2.45 10 200 60,000 6 avg avg avg friction av MPa YY M P a FLwY Lm m FM N L F h FLN KW ππ = =×× × × × = × ⎛⎞ =+ = + = × = ⎜⎟ × ⎝⎠ ×× × N 3 0 0.1 -6 6 0,000 2,965 . ( ) 400 200 25.1 / min 4.19 / 4.19 10 10 ln ln 61 24.5 7 150 61 226.3 . ' 226.3 261.3 . 24.5 400 10 261.3 10 2.56 2.56 1.17 r r f m avg avg avg friction KW c V DN m m s Vh Lh Y C MPa M P a N F = × × = = × = ×= = × × × = ± ± 2 3 2 2 3 10 2.45 10 200 60,000 60,000 1,537 . MN FLN KW KW = ×× × × × =
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5 3 () 8 f o h0 . 3 (a) 0.1 h3 0.75 % 1 0.25 or 25% (b) Stand number ( ) 1 240 ie x x reduction x vvN r p m == = ∴=
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hw5sol - ME363 51(a Homework#5 Solution FromTable2.3 = 220...

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