**Instructions:** This page calculates Pin-in-Paste stencil metrics. The first column of white boxes, are PWB and component inputs, it also contains input boxes for when rectangular pins or stencil apertures are used. The second column contains the output boxes which are green. Under Stencil Metrics you will find the dimensions of the stencil's apertures required for the needed solder paste volume.

Initial work by Gervascio etal^{i} refined by McLenaghan^{ii} was performed to estimate the volume of the fillet in the pin-in-paste process. The assumption was made that the cross section of the fillet could be described by the radius of a circle as shown in Figure 1.

Figure 1. The cross section of a fillet as defined by a circle.

Simple geometry will show that the area of one side of the cross section of the fillet is equal to the 0.215r^{2}, let's call this area A. Pappus of Alexandria circa 300 b.c., developed the concept of a volume of revolution. His work was refined in the 1500s by the Dutchment Guldin. What they showed was that if one takes an areal cross section such as A, it is possible to calculate the volume of the body by mathematically revolving it around the central axis. If one does this by using calculus, it can be shown that the resulting volume is equal to:

V = 2^{Π} A x_{c}

Where x_{c} is called the centroid of that cross sectional area. For our fillet, calculus will show that:

x_{c} = 0.2234r + a, hence the volume of one fillet is: V = 2^{Π}(0.215r^{2})(0.2234r + a)

ii McLenaghan, A. J., private communication