218_Mechanics Homework Mechanics of Materials Solution

218_Mechanics Homework Mechanics of Materials Solution -...

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Unformatted text preview: PROBLEM 3-65 shafi AB of radius r, to tube CD of inner radius r2. Knowing that a torque T 13 applied to end A of shaft AB and that end D of tube CD 15 fixed, (0) determine the magnitude and location of the maximum shearing stress in the annular plate, (b) show that the SOLUTION angle through which end B of the shaft rotates with respect to end C of the tube is ‘ 1 U56. 0- MQ 500‘7 CONSIS+lnj ¢BIC 1‘ TING—[T O‘F 5-th AB and an Inner ’7 t r1 Par’Hon, of- “me $54}: BC. 'Hse l-S PQW‘HJ on Dd+e¢ ”takes 0"} beta: f3 " x The {Jane per unt‘i‘ I! T \ Djij‘H-I o‘F circum'Fewe-aaa 4 @\ , ft K F31 \. f j M =3 O \\,_._’ 1/} ftCQflP)/o - T = _ T t .. ZTrtfp" ((1) Maximum shear-Fina S‘i‘ress OCQUV‘S aci- Io= V” Sheam'nj 5+Miu ... 1;... d d4)- ZHGt/OI'FB CRESEZWGIIGL" (=3 =217Gt { 2": 3. 65 An annular plate of thickness I and modulus of rigidity G is used to connect I TM 2 2."- tnz‘ (i) —.’§__._L___ T“ G ‘zTrGftro" The ~1sz cu‘rcuMi-‘erev‘i‘ad a’fsppaccmevd in Wuhan) fiwal-iq eff) is abs: Yap = False aqn = T7409 :znGt/J3 ”I. 1251,: at T 5"; ZWGt n P3 2 2"” MG 2P1 7‘ l l l ““2717 " "€fi‘fi ‘F} "I O L—l: i_l :— ‘1 (4'! i_] _ _ r m" ‘ * ...
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