Math help please

[ICE]

A friend has a task of leveling a building. There is two apartments built over a carport. There is a 3’ cantilevered section that will be a pivot point. I’m hoping one of the smart members can perform the math.

Thanks for your help.

 

[wwhitney]

If the point over the column is fixed, then to first order the ratios on the two sides match: 23' / 1" rise on the right = 3' / x" drop on the left. Solve for x.

And to first order, the end points only move up and down, not left-right. For large angular changes these two approximations cease to be true.

Cheers, Wayne

 

[ICE]

Solve for x.

I would if I could … but I can’t. So I’ll guess that it’s 3/16”. Did I get close? The structure is 2” to 6” out of level. The concern is damage that will occur when lifting the right side. Apparently the out of level condition has been there for over 22 years.

 

[jar546]

.013" down on the left side if the right side goes up 1".
If you lift the left side 1" the right side will raise up 7.67"

 

[jar546]

I would if I could … but I can’t. So I’ll guess that it’s 3/16”. Did I get close? The structure is 2” to 6” out of level. The concern is damage that will occur when lifting the right side. Apparently the out of level condition has been there for over 22 years.

No, closer to 1/8"

 

[ICE]

.013" down on the left side if the right side goes up 1".
If you lift the left side 1" the right side will raise up 7.67"

Should that be .13”?

 

[wwhitney]

x = 3/23" = 0.13".

Cheers, Wayne

 

[ICE]

Thanks gentlemen.

 

[e hilton]

If you lift the left side 1" the right side will raise up 7.67"

If you lift the left side, won't the right side go down?

 

[jar546]

If you lift the left side, won't the right side go down?

Yes, that is what I meant.