# S11 - shaft is loaded as a beam, it is simply supported ;...

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· A thin-walled cylindrical pressure vessel is lifted bycables, as shown in Fig. 1. The iimer . . diameter ofthe cylinder is 600mm, and its wall thickness is 6 mnl. The vessel is pressurized to 1 n \( O.5:MPa and the vessel's weight is 1 leN/m. (a) Detennine the state of stress at point A and show LL. .U ~ the calculated results on stress element inthe given coordinates. (b) Use Mo.hr's circle to · detennine'the principal stresses and maximum in-plane shear stress at point A, and show them on oriented stress elements. · [Hint: principal direction: tan Z9 p = 'txy / (C1 x - cry)l2] ANS ~ Fig. 1: . CfJY.)/Jr= . ~) A= \Jh = 2S"nlP ~ Find the smallest diameter d ofthe steel shaft ABCD that is capable of carrying the loads shown in Fig.l, if the allowable stresses are cran = 120 J\.1Pa and 'tan = 70 MPa. The shaft is supported at ~ A and Dby two fiictionless bearings. When the

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Unformatted text preview: shaft is loaded as a beam, it is simply supported ; at A and D. Neglect the weights ofthe pulleys and the shaft. The pulleys are rigidly attached to the shaft. Assuming that the shear stress caused by shear force is negligible. [Hint: tan(29 p )=2'txy/(C!x-O'y)] Fig. '2,: SOON u-w.f~ j4~ (.Q ( 0 ,}1Y.po) I 1Jr ~)a-~: :::: ~,)M~c0(o,~) ~--- =\~S-~~ ('2.) (b.O~~~ ) (GA\ ~-t= ('2. )([f'~e.=O ~?\-="' ...... (iJ K \ " (z. .,'rMPC>. (-t) ) \T: \ a~ ax =-l tr. ~ /VIf a. ":. () L "---'---1 L.--t----4-. ...I') X 5000 rJ 4000N -PRO&.1. .--_: A 1cr~ ~ ;:=:7--» 2 SboJ~ ~ looON~ ()ODNl1.\ R 9 ;. 1~l-2-lM.) 1\M ~ 2:~A==D. eo( 4-) -4cco (~)-~.xlo(.{)-::.O. \20 =. ~tS'O t\l Ui ~ . ~ = 30)0 -t 4-0-)0 -3 'TSC 14 } r2A = 3> 2.S"C ,0. G(l-nCM.\ Sec. .-hOV\" elf: HAA'l(=Kc. =GT5"OIJ)C 1LA-t) = ~t-~i\J 1M . Y T ~'I-:-T c.. ::: 2. S-00 AJ lM . • ~z~....
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## This note was uploaded on 10/06/2009 for the course CIVE 207 taught by Professor Shao during the Fall '09 term at McGill.

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S11 - shaft is loaded as a beam, it is simply supported ;...

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