steel beam

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One constant is the height of the cross section which is always h^4. This means that for a beam if you increase its height by 2, you increase its stiffness by a factor of 16. or put it another way, you decrease its deflection by 16.
It's h^3 or 8 times stiffer if you double the height.

Strength increases with the square of the height, so double the height and it becomes 4 times as strong.
 
OMG, it's turning into the geek thread.
Tony, Ronny, Frank, and erm, Sheldon...
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