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283_Mechanics Homework Mechanics of Materials Solution

# 283_Mechanics Homework Mechanics of Materials Solution -...

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Unformatted text preview: PROBLEM 3.C2 217/304 PAM @0737 3.C2 The assembly shown consists of n cylindrical shafts, which can be solid or hollow, connected by gears and supported by brackets (not shown). End A, of the ﬁrst shaft is free and is subjected to a torque To, while end B, of the last shaft is ﬁxed. The length of shaft 11,19, is denoted by L“ its outer di- ameter by 0D,, its inner diameter by 10,-, and its modulus of rigidity by 6,. (Note that ID, = 0 if the element is solid.) The radius of gear A,- is denoted by a), and the radius of gear Bf by (2,. (3.) Write a computer program that can be used to determine the maximum shearing stress in each shaft, the angle of twist of each shaft, and the angle through which end A,- rotates. ([2) Use this program to solve Probs. 3.21, 3.39, 3.41, 3.42, and 3.154. SOLUTION 723/25. UE w mews, 2350212 727:7; 71:1: 17(F’r+./52) Foe? Ema»: eS’l-ffi'F‘f‘; E/WEE LL. 0% [DZ 6;: (mpum: J1: 3' (777??)( OD: - Iﬁj) 7M1? '““ 7E {09172ng PM, = 7; 2.2/44. J; QMQFCM‘EQTHTMN arng a Coma”; perm-no” .47 77a: "A“ END 6F EM” gym?” 5-7240?“ WAT/=1 («Haas—— —-= PHI,” A‘ND (2)90de Mzoxw 77 70 .2, mm Kw» par/2L. (was: ﬁwgzg-‘(qg/gdﬂ 4. MAI/L,“ Problem 3 21 Shaft No. Max.3tress (MPa) Twist Angle (degrees) 1.0000 68.7420 1.4615 2.0000 72.5013 0.7707 Angle through which A1 rotates :- 3.388 ° Problem 3 . 39 Shaft No. Max.Stress (MPa) Twist Angle (degrees) 1.0000 47.7465 1.7764 2.0000 82.8932 2.0560 Angle through which A1 rotates . 7.945 ° Problem 3 . 41 Shaft no. Max.8trese (ksi) Twist Angle (degrees) 1.0000 9.0541 1.3587 2.0000 12.0722 1.3175 Anglerthrough which A1 rotates . 3.115 ° Problem 3 . 42 Shaft No. Max.Strese (ksi) Twist Angle (degrees) 1.0000 9.0541 1.3587 2.0000 6.7906 0.7411 Angle through which A1 rotates = 1.914 0 Problem 3.154 §Eft No. Max.Stress (MPa) Twist Angle (degrees) 1.0000 37.7256 1.6843 2.0000 56.5884 1.4036 Angle through which A1 rotates a 3.790 ° ...
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