This is getting a bit basic. Tan is a trigonometric function, short for tangent. In a right-angled triangle, the hypotenuse is the long side, opposite the right angle. With respect to either of the other angles, opposite is what it says, adjacent is the third side. Tan of an angle is the ratio of the opposite side to the adjacent side.
If you take a right-angled triangle in which the other 2 angles are each 45°, for either 45° the opposite and adjacent sides are equal. So tan 45° = 1. So the answer = 1*(r+t) = 0.161
Cheers.........Codey
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A 30, 60, 90° triangle has sides 1, 2, √3 (or any multiple). I'll leave you to work out which is which and that they satisfy Pythagoras's theorem.
It means tan 60° = √3 = 1.732. Alternatively you could use a tables or a pocket calculator. If you're on Windows, there is a calculator in Accessories.
Cheers........Codey
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To be able to vary the angle one would need to know what the logic is, is the above formula in regard to, Bends in trance mission lines? as 90deg is part of the maths logic? I am not familiar with the logic and would be fumbling around in the dark along with you. but would refer you to this web site.
I bend metal for a living,Inside Set Back = tan (Angle / 2) * Radius.If i have a different angle,other than 90,How do i calculate.I'm not to smart with this stuff,just starting to learn.And nobody at work will share info,not like the old days,when people helped.
– The length of the arc through the bend area at the neutral axis.
Bend Angle – The included angle of the arc formed by the bending operation.
Bend Compensation – The amount by which the material is stretched or compressed by the bending operation. All stretch or compression is assumed to occur in the bend area.
Bend Lines – The straight lines on the inside and outside surfaces of the material where the flange boundary meets the bend area.
Inside Bend Radius – The radius of the arc on the inside surface of the bend area.
K-factor – Defines the location of the neutral axis. It is measured as the distance from the inside of the material to the neutral axis divided by the material thickness.
Mold Lines – For bends of less than 180 degrees, the mold lines are the straight lines where the surfaces of the flange bounding the bend area intersect. This occurs on both the inside and outside surfaces of the bend.
Neutral Axis – Looking at the cross section of the bend, the neutral axis is the theoretical location at which the material is neither compressed nor stretched.
Set Back - For bends of less than 180 degrees, the set back is the distance from the bend lines to the mold line.
This is as much sense I can make of it at the moment, the results of the formulas don't mean much to me at the moment?
As you may or may not know, the tan of an angle is the ratio of the the two smaller sides of a 90deg triangle. So as you can see on the left sketch the radius+thickness is equal in length to the set back at 90deg, or set back/radius + thickness = 1, or tan 45deg = 90deg/2.
The right hand sketch shows a bend of an angle of 60deg, therefore the ratio of the sides is set back/radius + thickness = 0.5774 or tan 30deg = 60deg/2.
From original post, I assumed r was the radius of the pipe (or plate or whatever) not the radius of the bend. Guest, which is correct? It affects the formulas!
Cheers......Codey
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