I am about to add on to my shop a new room for my helicopter. The walls are 28 feet apart and 8 feet tall. If these walls are EXACTLY plumb…that means they will not be parallel. A vertical line on these walls should point to the center of the earth. How much wider do the top plates have to be over the 28 foot width the bottom plates are? Its an infinitesimal amount..but one easily figured two ways.
Again…if a line on one wall is perfectly plumb…it will point to the center of the earth. The other wall if also plumb…will also point to the center of the earth. The top plates have to be further apart than the bottom plates to achieve this.
Obviously I wont be allowing for this…and also I apparently I have too much time on my hands while my eye is healing!
Stan
Replies
looking like it as triangles, you have an isosceles triangle at the bottom of the wall with sides the length of the radius of the earth, or 20,925,196.9 feet long. The top is 28 feet. now you extend the legs 8 feet, and connect the top, and the length of the new top is
20,925,196.9 + 8 / 20,925,196.9 times 28 feet
(20 925 204.9 / 20 925 196.9) * 28 = 28.0000107 feet
Stan, it's a pleasant contemplation but why do you want a mathmetical answer? Just imagining and sensing the lines of force is cool enough for me.
BTW, what kind of door system are you planning for your hangar? Have you considering making your own bi-folds? Goggle "hangar doors" for lots of options.
Hudson: Why do I want a mathematical answer? Simply because there is one. I am a numbers guy...though at a HS level...but if I know that say my walls technically will be wider at the top if truly vertical...then curiosity has me wanting to know how much. I know it will be an infinitesimal amount..but I want to know the answer so I can relate to this amount.
I know what a 0.001 feeler gauge thickness feels like...and now that I know its a little more one tenth of that...I can relate to this.
Plus its a good exercise in honing my math skills...and the reward is the answer. I dont know why I am explaining myself. The question should be..."Why are you explaining why? ha
Stan
In my experience the more rewarding challenge is to meditate on the structure, whether in the abstract or, during the building process, in full scale...in order to feel myself a part of it.
When moments of connection with it happen, the feeling of atunement with the inner Self and the structure, as something derived from the same source, is life altering in it's beauty and simplicity.
My initial thought was why, but then a non mathmatical answe would be to frame up the wall leaving the end studs off and the upper plates long. Using your plumb bob at the lower plates ends plumb up to the top plates and mark. Voila! if your plumb string and pencil mark are thin enough and the accurracy of your cut straight enough not to mention the squareness of the shoe of your saw you'll have a good accurately framed-to-the- curvature-of-the-earth-wall. All my framed walls follow the earths curvature.
Since it's silly Sunday
Bodes a question...Are there fewer stones along the top of the Great Wall then the bottom?
Wouldn't there be more?--wouldn't the wall be slightly wider (and longer) on top (if it were truly plumb)?
Thats a trick question.
Like when ya see geese flying in a VEE...one side is always longer than the other..why come is that?
there's more geese on that side.Spheramid Enterprises Architectural Woodworks
Repairs, Remodeling, Restorations
They kill Prophets, for Profits.
http://www.youtube.com/watch?v=Dj_oEx4-Mc4
The world of people goes up and
down and people go up and down with
their world; warriors have no business
following the ups and downs of their
fellow men.
I told that to my 6 year old son once and he punched my in the stomach!
No more corney jokes I guess?
Doug
With those eyes of yours you will never be able to notice, pretend they are parallel and go for it.
This indeedy is a serious problem. It can be reasonably estimated with aclarity that 99.999% of the houses in the United States are architectually defective and substandard due to this profund deficiency.
This 0.00001" difference between what is and what it should really be can be easily ascertained with a common micrometer. Any competent machinist can easily help you with this. Just measure your 28' with a Stanly Fat Max >30' size and have your buddy add the addional ten thousandth. [I think you can safely ignore the addional .00000007".]
It should be noted that the use of plumb bobs [or Roberts] should be used with care due to the untowards possible deflexions caused by the proximity of nearby mountains which are less dense than valleys.
Also, your cross joists with need an appropriate upward curvature to compensate for the roundness of this particular planet. However carpenters crown their joist so they've got this one right.
~Peter
The two most famous female composers are Jean Sibelius and Camille Saint-Saens.
"Just measure your 28' with a Stanly Fat Max >30' size and have your buddy add the addional ten thousandth. [I think you can safely ignore the addional .00000007".]"
There is no way that I would or could ignore that "additional .00000007". I couldn't sleep at night.
Is all this mute due to elevation. Wouldn't the curvature be greater if like here in Tulsa were at about 600FAS? Or is the diameter you used a mean average?
normal elevation makes no difference in the results. You have to add 180 miles to the radius to change the last digit from a 7 to a 2. Even Mt. Everest's elevation doesn't change the last digit.
what happened to your eye
yep I change my oil every 3000
miles or when I get bored...
which ever comes first