JML is correct that span tables are the way you figure the maximum span for a particular application. But you need to know the particular species of wood.
If you just want to compare the stiffness of two pieces of lumber with different cross-sections, you can do that by calculating and comparing the moments of inertia of their respective cross sections. (Assuming that the wood species is the same.) That's quite easy to do for most lumber. This Wikipedia article explains the theory; about halfway down you'll find the formulas for different cross sections.
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Today's Featured Article - Tractor Hydraulics - The Basics - by Curtis Von Fange. Hydraulics was one of the greatest inventions for helping man compound the work he can do. It’s amazing how a little floor jack can lift tons and tons of weight with just the flick of a handle. What’s even more amazing is that all the principals of hydraulic theory can be wrapped up in such a small package. This same package applies to any hydraulic system from the largest bulldozer to the oldest and smallest tractor. This short series will take a look at the basic layout of a simple hydraul
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