SOLUTION: The load L that a horizontal beam can safely support is directly proportional to the square of the depth, d, of the beam. A beam with a depth of 8 inches can safely support 800 pou
Algebra.Com
Question 695191: The load L that a horizontal beam can safely support is directly proportional to the square of the depth, d, of the beam. A beam with a depth of 8 inches can safely support 800 pounds.
a)Find the constant variation and write the variation equation
b)Find the load that a similar beam with a depth of 6 inches can safely support.
I set this up at a cross multiply problem and got the wrong answer, so I'm not sure where I went wrong. As for b, I'm not sure how to even go about solving that. Thanks so much!
Answer by stanbon(75887) (Show Source): You can put this solution on YOUR website!
The load L that a horizontal beam can safely support is directly proportional to the square of the depth, d, of the beam. A beam with a depth of 8 inches can safely support 800 pounds.
a)Find the constant variation and write the variation equation
L = k*d^2
800 = k*8^2
k = 800/64 = 12.5
----
That is the constant of variation.
=======================================
b)Find the load that a similar beam with a depth of 6 inches can safely support.
L = 12.5*d^2
L = 12.5*6^2
Load = 450 pounds
======================
cheers,
Stan H.
=====================
RELATED QUESTIONS
Use the fact that the load a beam with a rectangular cross section can support is jointly (answered by greenestamps)
The maximum load that a horizontal beam can carry is directly proportional to its width.... (answered by stanbon)
In problems 11 and 12, use the fact that the load a beam with a rectangular cross section (answered by Mathtut)
The weight W that a horizontal beam can
support varies inversely as the length L of the
(answered by Cromlix)
The weight W that a horizontal beam can support varies inversely as the length L of the... (answered by Alan3354)
In problems 11 and 12, use the fact that the load a beam with a rectangular cross... (answered by stanbon)
In problems 11 and 12, use the fact that the load a beam with a rectangular cross... (answered by solver91311)
The safe load, L, of a wooden beam supported at both ends varies jointly as the width, w, (answered by josgarithmetic)
The safe load, L, of a wooden beam supported at both ends varies jointly as the width, w, (answered by josgarithmetic,greenestamps)