Partial Volumes of frustums
Partial Volumes of frustums
(OP)
Does anybody know how the calculate the partial volumes of HORIZONTAL frustums.
a) for true conical frustum
b) eccentric frustum - see previous post.
a) for true conical frustum
b) eccentric frustum - see previous post.





RE: Partial Volumes of frustums
See also the other post.
prex
http://www.xcalcs.com : Online tools for structural design
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RE: Partial Volumes of frustums
http://mathworld.wolfram.com/ConicalFrustum.html
RE: Partial Volumes of frustums
Reidh
RE: Partial Volumes of frustums
i guess it doesn't if you're talking about the axis of the cone (being horizontal or vertical), but i thin it would if you're talking about the cutting planes (being perpendicular or parallel to the axis of the cone). I've interpreted the question as tho' the axis of the cone is vertical and the cutting planes are horizontal; elise ?
RE: Partial Volumes of frustums
RE: Partial Volumes of frustums
Image a layer of liquid that does not totally fill the frustum..
There are formulas for calculating partila volumes of horizontal pipes for the frustum its totally different ?
RE: Partial Volumes of frustums
A quick trip onto http://www.integrals.com gives
2L/(R1-R0) • [arccos(1-h/r) • r3/3-√((2-h/r)h/r) • (10h2+31rh+6r2)r/45]
where h is the independent variable (filled height with h<2R0) and the expression in square brackets is to be evaluated first for r=R1, then for r=R0 and the difference of the two values inserted in the brackets; the other symbols should be simple to figure out.
Hope you'll understand that I cannot guarantee in any way the exactness of that formula...
prex
http://www.xcalcs.com : Online tools for structural design
http://www.megamag.it : Magnetic brakes for fun rides
http://www.levitans.com : Air bearing pads
RE: Partial Volumes of frustums
Regards,
Mike