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
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7M1? '““ 7E {09172ng
PM, = 7; 2.2/44. J; QMQFCM‘EQTHTMN arng a
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57240?“ WAT/=1 («Haas—— —= PHI,” A‘ND (2)90de
Mzoxw 77 70 .2, mm Kw» par/2L.
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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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 Summer '10
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