Algebra

The maximum load a beam will support varies directly with the square of the diagonal of the beam's cross section.A beam with diagonal 6 inch will support a maximum load of 108 pounds. What load will a beam with a 10 inch diagonal support?

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  1. translated:
    load = k d^2
    given: if d = 6, load = 108
    108 = k(36)
    k = 108/36 = 3

    load = 3d^2
    so when d = 10
    load = 3(100) = 300 pounds

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