Reg. Elbow Area Calculations..........

why not post your work so our experts can point out what they think is going on?

milo

Hello Guest,

As Milo states above, it would be best for you to publish your present calculations, then those may be discussed.

Meanwhile, a few general observations may assist.

Surface area for an elbow is proportional to inclination of the elbow with the surface, directly related to the pressure exerted on the surface, the amount of available space on the bar-top has to be taken into account, along with the tipsiness of the elbow owner.

In short, if the tipsiness quotient is exceeded, then the elbow falls off the bar-top, despite the coefficient of friction or any other earlier-listed factors.

That's my short thoughts, and may be modified once you place your present findings here, for examination and discussion.

There may well be a more mathematically inclined Member here, who is able to put the above simplified explanation into an expanded version, then into a proper equation, for future data processing.

Trust you have been assisted.

Kind Regards....

well you can draw it and measure in a cad 3d software too...

I agree with Milo's post #1.

But an elbow is part of a torus. Formula for surface area of a (whole) torus is well known and easy to work out from first principles. Fraction of a torus = φ/360 where φ = nominal angle of elbow (45°, 90° etc).

Cheers........Codey

Qatar, many chinese workers work there. I was told.

look at this web site for calculation surface.

http://www.webcalc.net/calc/0046.php

Surface area is commonly denoted for a surface in three dimensions,

the tube radius of a torus, and the radius from the rotation axis of the torus to the center of the tube

torus

It's a great calculator website

It's mean, for an elbow, the result must be divide by 4

Thanks for nice info

Surface area of an elbow, S = ∏² D R (θ/180),

where,

D = Elbow outside diameter

R = Radius of elbow

θ = Angle of elbow, in degrees

L = Length of center line of elbow = 2 ∏ R (θ/360)

∏ = Constant = 22/7 = 3.14 (created by Ancient Egyptians)

Derivation of equation: S = ∏ D L = ∏ D (2 ∏ R)(θ/360) = ∏² D R (θ/180)

................................

Abdel can this equation be used for a rectangular radius elbow, meaning that the radius elbow is not a pipe but is actually a rectangular shaped ductwork

Well, obviously not, if the thing is a <...rectangular shaped ductwork...> instead of an <...Elbow...>.

for a square elbow we need to know the angle, height width and inner radius of that elbow

consider w-width, h - height, r- inner radius

the total surface area will be the sum of areas of four sides

=the area of two curved sides + area of inner side + area of outer side

now the area of curved sides will be a1= 3.14( (r+h)² - (r²) )

there are 2 curved sides = a1 x 2

the inner side of the elbow will be a square with width w and we need to find the length

the length l = r x ∏/2 (considering the elbow with 90 degree )

area a2 = l x w

like that area of outer side will be a= L x w

where L = (r+h) x ∏/2

total area A = 2xa1+a2+a3

or A = (2x3.14( (r+h)² - (r²) )) + (( (r+h) x ∏/2) x w)+( r x ∏/2) x w)