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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