The exact expression is given in Prob. 3.64 for the angle of twist of the solid tapered shaft AB...1 answer below »
The exact expression is given in Prob. 3.64 for the angle of twist of the solid tapered shaft AB when a torque T is applied as shown. Derive an approximate expression for the angle of twist by replacing the tapered shaft by n cylindrical shafts of equal length and of radius ri = (n + i = ½) (c/n), where i = 1, 2, . . ., n. Using for T, L, G, and c values of your choice, determine the percentage error in the approximate expression when (a) n = 4, (b) n = 8, (c) n = 20, and (d) n = 100.
Prob. 3.64
Determine the maximum shearing stress in a solid shaft of 1.5-in. diameter as it transmits 75 hp at a speed of (a) 750 rpm, (b) 1500 rpm.
KANDREGULA R
5 Ratings,(9 Votes)
..1141 0.00KB/S 11:30 1/541 from prob.3.64 exact Expression: 0.10566 TL GR". &- YTL QR GRY. Consider typical ith Staft. V: =(n+- (2/0) LM (2)* Ad = T(4m) GT: Enter unid values of T, L, G ando. (NOTE: Specific values can be entered) Enter initial value of her for 0. Enda na Number cylindrical Shafta. for ialton, update o = 0 + All output of program Coefficient q TL/G64 Exact Gefficient from pro6 3.64 iso. 18568. Elemental diaraan. Approximate Percent Error. Number Elact n 0. 17959 0.18568 - 3.261 4 & 0.18 ulo -0.85311 0.18566 22 0.18542 o.18568 -0.13810 6. 18567 0.18sre -0.oossu. P - ? Send Edit Delete
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