The strength of a rectangle beam varies jointly as itswidth and the square of it

Question

The strength of a rectangle beam varies jointly as itswidth and the square of its thickness.If a beam 5.5 inches wide and2.5 inches thick supports 600 pounds.how much can a similiar beamthat is 4 inches wide and 1.5 inches thick support???? please show me how with answer   thanks! The strength of a rectangle beam varies jointly as itswidth and the square of its thickness.If a beam 5.5 inches wide and2.5 inches thick supports 600 pounds.how much can a similiar beamthat is 4 inches wide and 1.5 inches thick support???? please show me how with answer   thanks!

Explanation / Answer

strength=xwt2 x is some constant based on the material used which has unitsof lbs/inch3,w is width and t is thickness x is some constant based on the material used which has unitsof lbs/inch3,w is width and t is thickness 600lbs=x(5.5)(2.5)2 x=600/[(5.5)(2.5)2] x=17.45lbs/inch3 strength=(17.45lbs/inch3)(4)(1.5)2 strength=157.1lbs strength=157.1lbs

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