233_Mechanics Homework Mechanics of Materials Solution

233_Mechanics Homework Mechanics of Materials Solution -...

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Unformatted text preview: 3.91 A 25- Nm torque is applied to the stepped shaft shown which has a full quarter-circular fillet. Knowing that D = 24 mm, determine the maximum shearing stress in the shaft when (a) d =20 mm, (b) d= 2.1mm. PROBLEM 3.91 SOLUTION 2mm = *= 0. It) Fm" F; 3.37. K= LS4 3 Full quarter—circular fillet extendstoedge oflnrgershuft For Smajie» sharp'l’ {‘= £a’ -,-_- 0.. O“) m e (21Cl-34M251 r 2:,3xto‘ Pa: 2L6 MPcL-I “(0.00) =_L_2._ fi- 11.5““ o.o.$'$'6 FIN'"t Pi 3.51 K=I.L+2.. For snaffle» ska-H- c: A: 0.0303.“- 3 z: K—TC - ZKT MczxLMKLS) = I19 Ho" 1’s» = 17.? MPG. 4 - .. J 1T C3 If (0.010833 3.92 In the stepped shafi shown, which has a full quarter-circular fillet, D = 1.5 in. PROBLEM 3-92 and d -—- 1.2 in. Knowing that the speed of the shah is 1800 rpm and that the allowable shearing stress is 8000 psi, determine the maximum power that may be transmitted by the shaft. SOLUTION For Smaller Ska-H Full quarter—circular fillet 3 extends to edge of larger shaft Z = K TC T ._.. J2) = H 9 r J KC 1 K 3 = 7r é’t‘sfwzmm = 2072 tit-tn 4?: race rpm = 30 Hz. Pom» P= 21H?T = 211(3o3CRO72) = 83.0.6x103JL-in/s 330. c. No" PL in ’5 : 650° Jb-iM/S/hp 5.6L 2 5'3 ...
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