Disclaimer

This information HAS errors and is made available WITHOUT ANY WARRANTY OF ANY KIND and without even the implied warranty of MERCHANTABILITY or FITNESS FOR A PARTICULAR PURPOSE. It is not permissible to be read by anyone who has ever met a lawyer or attorney. Use is confined to Engineers with more than 370 course hours of engineering.
If you see an error contact:
+1(785) 841 3089
inform@xtronics.com

Machining trygonometry

Radius from 2 points on a curve

Find the depth of a sphere section given the radius of the Sphere (R) and the radius of of the section (a)

If we have a spherical dish - and lay a straight line across the diameter - the depth (h) can be found.

Where R is the Radius of the sphere,
and a is the radius of the section(dish),
we find d - the depth of the section.

Radius to 45 Chamfer

Depth of counter sinks

\begin{align*}
A^2 + B^2 = C^2\\
y^2+B^2=r^2\\
r=B+x\\
y^2+B^2=(B+x)^2\\
y^2+B^2=B^2+2Bx+x^2\\
y^2-x^2=2Bx+x^2\\
B=\frac{y^2-x^2}{2x}\\
r=\frac{y^2-x^2}{2x}+x\\
r=\frac{y^2-x^2+2x^2}{2x}\\
r=\frac{y^2+x^2}{2x}\\
\end{align*}

Top Page

wiki Index