Question

A shaft is made of a steel alloy having an allowable shear stress of ?(allow) = 12 ?si. If the diameter of the shaft is 1.5 in.,

(a) determine the maximum torque T that can be transmitted.

(b) What would be the maximum torque T’ if a 1-in.-diameter hole is bored through the shaft?

(c) Sketch the shear-stress distribution along a radial line in each case.

2. A shaft is made of a steel alloy having an allowable shear stress of Tallow = 12 ksi. If the diameter of the shaft is 1.5 in., (a) determine the maximum torque T that can be transmitted. [20 points) (b) What would be the maximum torque T'ifa l-in.-diameter hole is bored through the shaft? [20 points) (c) Sketch the shear-stress distribution along a radial line in each case. [20 points) T'

Answer 1

a) 16T Tallow TO 3 Tallowa 12 ksi CGiven) 16xT 3 12X10 = TX(1.5) Dolor 3 (1.53 X TX 12x10 TE 16 16-m T = 795201 56 lbin Toaque - 79520156 b2 Tallow c 12 k si 165 Tallow = do=1.5in disko Ho in a do}(1-64) ka di do ka 1 105 walls

7 do 3 (164) * Tallow T = 16. *) x 12X103 5 ax (165)*x (6-( %) (6 Ib-io 63 81. 36 T = thant see we can c) Form Torsional equation X Reulius (R) I (shear stoess) imax Trak Inga *Tmy" Tnin to Trin Iminta Inn Iman Rmax, Iman Iman laseri Case-2