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Posted:: 3+ months ago by helloitsm...
Topics:: beam, square, support, weight, height, problem, math, maths, mathematics, length

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The maximum weight that a rectangular beam can support varies jointly as its width and the square of its height and inversely as its length. If a beam one fourth
1/4 foot wide, one fourth
1/4 foot high, and 1717 feet long can support 1010 tons, find how much a similar beam can support if the beam is one fourth
1/4 foot wide, one third
1/3 foot high, and 1111 feet long.

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Answers (1)

Jewels Vern

W = (Kwh^2)/l

1010 = (K x 1/4 x 1/16)/1717 The rule is you can do any valid operation on both sides of an equation and it will still be equal. Multiply by 1717.

1734170 = K/64 Multiply by 64.

110,986,880 = K

Now plug in the other numbers and crank out an answer.

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