SS-V: 1180 Stress Concentration in a Filleted Notch

Test No. VS19 Find the stress concentration in a filleted notch when torque is applied.

Definition

The shaft is fixed at one end and a torque of 0.19625 lbf-in is applied on the other end. Shear stress is calculated as 1 psi using the following equation. The units are IPS.(1)

τ_{0} = T c / J

$τ_{0} = T c / J$

Where,

$c$ $c$: $d / 2$ $d / 2$
$J$ $J$: $π d^{4} / 32$ $π d^{4} / 32$

Model Dimensions: D = 2 in; d = 1 in; r = 0.05 in; r/d = 0.05; D/d = 2

Results

$τ = K τ_{0}$ $τ = K τ_{0}$
$K \sim 1.7$ $K \sim 1.7$

The following table summarizes the stress results.

	Theory¹	SimSolid	% Difference
Shear stress	1.72	1.717	~0.01

Page 1030 , Shigley’s Mechanical Engineering Design, Ninth Edition, Richard G Budynass and J.Keith Nisbett