If you had two boards of the same height and length but one half the thickness of the other, the beam with half the thickness would be half the strength. If you increase the height, (a 2X4 vs a 2X6) you increase the strength as a function of the height cubed (3.5^3= 42.875 vs 5.5^3=166.375). So increasing the board height is the best way to make the long spans stronger and reduce deflection.
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-RocketEngineer
"Knowledge is what you get when you read the directions, experience is what you get when you don't." - Unknown
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