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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



Figure 1.
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)
τ0=Tc/J
Where,
c
d/2
J
πd4/32
Model Dimensions
D = 2 in
d = 1 in
r = 0.05 in
r/d = 0.05
D/d = 2

Results

  • τ=Kτ0
  • K1.7
The following table summarizes the stress results.
  Theory1 SimSolid % Difference
Shear stress 1.72 1.717 ~0.01
1
Page 1030 , Shigley’s Mechanical Engineering Design, Ninth Edition, Richard G Budynass and J.Keith Nisbett