Chair Support
May 9th, 2007
How can I find the amount of force each leg of a chair must support?
Given a weight and the angle of the legs, how do I calculate how much force each leg of a chair supports?
I'm kinda-sorta sure of how to do this problem in 2D, but I have no idea how to do it in 3D.
There are several factors to consider. The weight of the chair + the object on the chair divided by the number of legs the chair has. The angle of legs will not matter. What matters is the placement of the object on the chair. Unless specified, You assume the object on the chair is center. But if calculating for a person setting on the chair you may have variables on placement of weight ratios front to rear.
This is usually compensated for(on average) by the rear legs being angled back to push the center of mass forward seeking a balance so all of the legs support the same (approximate) weight.
I hope you found this helpful.
P.S. If you have access to several matching scales you can place a chair with each leg on different scales. Have a person sit in the chair and observe each scale. Next use something else like a stack of books and place them on different areas of the chair to see what happens.
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