Question

01.   Shaft BC is hollow with inner and outer diameters of 90 mm and 120 mm, respectively. Shafts AB and CD are solid and of diameter d. For the loading shown, determine (a) the maximum and minimum shearing stress in shaft BC, (b) the required diameter d of shafts AB and CD if the allowable shearing stress in these shafts is 65 MPa. [TA = 7.5 kNm; TB = 16 kNm; TC = 30 kNm; TD = 7 kNm]

01. Shaft BC is hollow with inner and outer diameters of 90 mm and 120 mm, respectively. Shafts AB and CD are solid and of diameter d. For the loading shown, determine (a) the maximum and minimum shearing stress in shaft BC. (b) the required diameter d of shafts AB and CD if the allowable shearing stress in these shafts is 65 MPa. [TA = 7.5 kNm: TB = 16 kNm: Tc = 30 kNm, To= 7 kNm] 0.9 m 0.7 m 0.5 m A 120 mm TA, KN.m B TB, KN.m С D Ta, KN.m To. KN.m

Answer 1

ko.s -> FKN free body diagram of section ed free body diagram of section Be с B 30-7 Do=120 Diego ko7 Tuet = 23kN-m free body diagram of section AB koog Tref=23-16 =7KN-m A B

@ B C Tai Too 19 Shear stress distribution in section BC shear stress by using Torque equation e F 'Maximum Shear stres will occur at Point r=Do D/ 238163 Zmax Do (0.12"_0.094] 23x102x ( 0.120) Max C 0-12-0.034] 32 Emax C - gg.164 MPa Any Minimum Shear stress will occur at point r= Dig Emin 3x 1272/2 [0.124-Doogle Emin = 74.37MP9 Ary

To determine the diameter of AB & CD if allowable sherring stress is 65MP Callow Ho c CD T= 7 KN-m At section AB or J = 7 / 2 dy rz de 7x103 658106 VI. d 32d4 d3 > 7X103x16 7X65X106 d² > 5.4847 X164 dz 0.08185 m Ang or dy 81.85mm
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