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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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