Posted by **Audrey** on Monday, January 21, 2013 at 8:06pm.

The load L a horizontal beam can safely support varies jointly as the width w and the square of the depth d and inversely as the length l. If a 12-foot beam with width 6 inches and depth 8 inches safely supports 600 pounds, how many pounds can a 14-foot beam that has width 5.5 inches and depth 4 inches be expected to support? Round to the nearest pound. Assume the two beams are made of the same material.

- College Algebra -
**Reiny**, Monday, January 21, 2013 at 8:47pm
"The load L a horizontal beam can safely support varies jointly as the width w and the square of the depth d and inversely as the length l"

---- >Load = k(wd^2/L)

given :

L = 12, w = 6inches or 1/2 , d = 8 inches or 2/3, load = 600

600 = k(1/2)(4/9) /12

(1/54)k = 600

k = 32400

Load = 32400(wd^2/L)

for the case L = 14 , w = 11/24 , d = 1/3

Load = 32400(11/24)(1/9)/14 = 117.857 or 118 to the nearest pound

check my arithmetic, easy to make a mistake on this one.

- College Algebra -
**Riggins**, Wednesday, January 23, 2013 at 11:23am
Show me the steps in doing this problem

30ax-15ay+42x-21y

## Answer this Question

## Related Questions

- Algebra II - The maximum safe load of a rectangle beam varies jointly as its ...
- Algebra II - The maximum safe load of a rectangle beam varies jointly as its ...
- Algebra II - The maximum safe load of a rectangle beam varies jointly as its ...
- AlgebraII - PLEASE HELP! I DO NOT KNOW WHAT TO DO? The maximum weight that a ...
- Algebra 2 - The strength of a beam varies inversely with the square of its ...
- Math: Calculus - The max. weight M that can be supported by a beam is jointly ...
- algebra - The strength of a wood beam varies inversely with its length. A beam ...
- Math - The maximum weight M that can be supported by a beam is jointly ...
- Lost in the pits of ALG - I have 5 problems I seem to not be able to comprehend ...
- Math - The strength S of a rectangular beam varies jointly as its width w and ...