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223_Mechanics Homework Mechanics of Materials Solution

# 223_Mechanics Homework Mechanics of Materials Solution -...

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Unformatted text preview: PROBLEM 3 75 3. 75 The design of a machine element calls for a 1.5-in.-outer—diameter shaft to ' transmit 60 hp. (a) If the speed of rotatiOn is 720 rpm, determine the maximum shearing stress in shaft a. (b) If the speed of rotation can be increased 50% to 1080 rpm, determine the largest inner diameter of shaft 15 for which the maximum shearing stress will be the same in each shalt. SOLUTION (b) (soKCéom = 3% x103 ﬂash/s [2 Hr. C, =ial = 0.75134 3 . 339—9119. : 5.252151101 9b. In 2110:) ' 1T(o.75)3 [:E: = 7.9'256M93 psi 7.93 it’s: CZ : 3L a g 0.75. "n Ln“, = 3.50:? no" )5. a. = Zng Methane) ZTC'T- :— O7Sq- (ZX'BJOI‘HIO‘XOJSO “t ‘ Uneasuzo') C, 0.55%' in ol|= 2c, - Lwo in «II = 0.10547 a.” 3.76 A steel pipe of 60-min outer diameter is to be used to transmit a torque of 350 Nm without exceeding an allowable shearing stress of 12 Was. A series of 60-min- outer-diameter pipes is available for use. Knowing that the wall thickness of the available pipes varies Earn 4 mm to 10 mm in 2-mm increments, choose the lightest pipe that can be used. PROBLEM 3.76 SOLUTION ’5’.” = :30on“ Pa. c1 =5H; = 0.039 m _ ca- ZTc; ’5.- JJ:-' - 11(c2q'ctq) s 2 t .0 ) C2 " 19% = 0-035“ “HF—“\$533335 3" c. = 22.43 v10" 2: = arc, = 30mm- 22.43.“... = 7.57 m1 = 252.614 Nd" M9 r: Requireal Hiakness t > 7.5“! mm. Amthlle size It -‘-‘ 8 mm fir": ...
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