We present nonequilibrium molecular dynamics simulations of pure argon at a temperature of 135 K and density of 1.034 gm/cc using the highly accurate Barker-Fisher-Watts (BFW) model for the intermolecular potential. We consider the BFW potential both with and without the Axilrod-Teller three-body interaction. We find that the three-body potential has a very small effect on the shear viscosity: The predicted value in the presence of three-body forces is 3% less than that obtained without three-body forces.