Dbolejack,
Designing a spline is not as simple as it seems. As CoryPad says, you can look at shear through the teeth to get a very rough estimate of where a spline may ultimately fail. But that may not be a good spline design for your application.
The additional factors you must consider are what type of life do you require? Are the loads reversing? Is the spline lubricated? Does the spline experience axial movement or misalignment? Is the load distributed evenly along the length of the spline's engagement? What tolerance class of spline is economical for you to utilize?
All of these variables will have an impact on the material and heat treat selection, as well as any load factors you may need to apply to your analysis to guarantee satisfactory performance from your spline.