Differentiating Tire Stress with Logs

Logarithmic differentiation is used to find how tire stress changes with strain. In this setting, a car’s weight and driving forces act as an external load on the rubber. The rubber resists that load through internal forces called stress. The deformation that results is called strain.

The stress-...

When a car’s weight and driving forces act on a tire, they apply an external load. The tire rubber resists this load through internal forces distributed across its material; this internal resistance is called stress.

Stress causes the tire rubber to change shape, and this deformation is measured as strain.

The nonlinear relationship ...