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3.3-5 - SECTION 3.3 Circular Bars and Tubes 255 Problem...

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Unformatted text preview: SECTION 3.3 Circular Bars and Tubes 255 Problem 3.3-5 A high-strength steel drill rod used for boring a hole in the earth has a diameter of 0.5 in. (see figure}. _ d: 0.5 in. The allowable shear stress in the steel is 40 ksi and the shear 1" (‘_l___—___W_fi T modulus of eiasttetty 15 11,600 km. ‘ T What is the minimum required length oi‘ the rod so that hm L W4 one end ol' the rod can be twisted 30n with respect to the other end without exceeding the allowable stress? Solution 3.3-5 Steel drilt red TL 32TL 1:0.5 in. From E . (3-15): (1 = ...— m T E T q l1 G11: 6175]"; ' l , Grrd‘lcf) ‘ l..__...—.—— L ________.l f T” M , substitute Tmto Eq. (1): .LL 1‘ G = [1,600psi m ‘ Gmtie Gait!) W _. . 7'max = "—3) 3 = TM (1 — (l.31n. mi LL —L ' 71' L _ Gt'ld) ti» = so = {30 (TE—3am = 0.52360 rad mm 21'allow _ (l {.600 ksi)(().5 in.}(0.52360 rad) mm. x 40 ks: = W 2(40 kst) l'VIttctMm-t LENGTH _ me : 38.0 in. ‘—. .lfiT . From Eq. (3‘12): Tim“ 3 [,1 TI'C ‘ Problem 3.3-6 The steel shalt of a socket wrench has a diameter of 8,0 mm. and a length of 200 mm {see figure). if the allowable stress in shear is 60 MPa, what is the maximum permissible torque Tum that ma‘y be exerted with the wrench? Through what angle d) (in degrees) will the shaft twist. under the action of the maximum torque? (Assume G t 78 GPa and disregard any bending of the shaft.) l (t' 2 8,0 mm ...
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