Problem 1: A 1-inch-diameter solid round bar has a 0.1-in-deep groove with a 0.1-in machined radius.
The bar is made of AISI 1020 CD steel and is subjected to a purely reversing torque of 1800 in-lbs.
Determine: (1) number of cycles to failure at room temperature, $N_{RT}$, and (2) the number of cycles to
failure at 750 °F, $N_{750°F}$. Hint: Review \"Application to a pure shear case\" on p. 337 in § 6-13.
Answer 1:
Intermediate answers:
Shear amplitude: $\tau_a = K_{ts} \tau_o = 23.6$ ksi
Ultimate strength in shear: $S_{su} = 45.6$ ksi
Final answers:
$N_{RT} = 38,700$ cycles
$N_{750°F} = 17,600$ cycles