Class 12 - Behavior of Rod and Shafts in Torsion

Structural Analysis (6th Edition)

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Unformatted text preview: * Lf/AéSfii 52.: ééflkvzoz :2? 529323 5% gfiwg 55»; Eggmg 52655 6552 5:22am 5552;455:455 (figs/Wig; ‘ 2355/52 5595555555 55 5555553359555 3 3 5565273 §T26$2 : 3:255 T535 53 5 5/tmw5é‘ “gm" 5 \5 5 C? 5 W {19:53ng An {fismwgrmfia Sum 55ng gm mag 51.5w a5: 53 kxwg 2&5“? 85:45:12,595 54.};953532 55;; ié‘éééégfifififlfgyagg {$6txfim 53 ”giimé‘isfl ‘Tmmgmgégw gs GUT} W m; Maia/Pg Eagg g gag??? fi%gg :mm} wm ‘E’Qmw? ‘Awéaaésmm; cf? g X : $85135. 1F CasséTm‘T‘ ‘7?ng 5/ (:2ch Saw a 7 5% .. TL. " ,3... g M Lmk kaumae ‘3 Q E we. 3 EA i Haw (2' is; DETEMKQEQA $3333 #fiwfifimfia 74pm; Em 32% J 7‘: M3332 fiwgmfi “a1; 3» A3533 <33 Wkw (0K §?wm\g Nbér’éammagg Egawz: 3%?ng away [/QMfée 3613,313!’ émabaa AN Ewm ; , 3 SECTION 3.8 Statically Indeterminate Torsional Melubets 223 Statically Indeterminate Torsional Members Problem 3.8-1 A solid circular bar ABCD with fixed supports is acted upon by torques To and 2TO at the locations shown in the figure. Obtain a formula for the maximum angle of twist 41w of the bar. (Hint: Use Eqs. 3-463 and b of Example 3-9 to obtain the reactive torques.) SECTION 3.8 Stafically Indeterminate Torsional Memhefs 223 Statlcally Indeterminate Torsional Members Problem 3.8-1 A solid circular bar ABCD with fixed supports is acted upon by torques TO and 2T0 at the locations shown in the figure. TA Obtain a formula for the maximum angle of twist dim of the bar. (Hint: Use Eqs. 3—46a and b of Example 3—9 to obtain the reactive torques.) From Eqs. (3-4621 and b): = 2",,(3L/10) _ 9m TOLB (f) = 4) —————--—— ._ TA = T 3 A” GI, 2061,, T __ ToLA ANGLE OF TWIST AT SECTION C B ._ L __ TD(4L/lO) __ 3T0L , ¢c=¢co “—51-“- 501 APPLY THE ABOVE FORMULAS TO THE GIVEN BAR: P P T -T(7>+2T(4)~15T° MAJGMUMANGLEOFTWIST "" ° 10 ° 10 " 10 37“ T _T(3_)+2T(6)_1STO ¢“‘“'4’C“561P 0" ° 10 ° 10 " 10 ...
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