How do I calculate the slope in degrees for a beveled washer?

The slope of a beveled washer or a given segment represents how much the elevation changes over a certain distance. The higher the slope, the more steep the incline or decline. Slope is measured in degrees, ratios and grades. To find the slope in degrees, you need to make use of trigonometry ratios or more simply, a scientific calculator. To find the degree of a slope, you must:

1. Find the amount of elevation change and the length of the segment. For example, using the beveled washer pictured below, you find that over a 12″ stretch, the elevation increases by 2″.
2. Divide the change in elevation by the length of the segment. Continuing with the example, you would divide 2″ by 12″ to get 0.166.
3. Use a scientific calculator to find the arctan which is sometimes written “tan-1” or “arctan” on calculators. This will measure the slope in degrees.
4. Finishing the example, enter “0.166” push the “tan-1” button and then press equals. The calculator will display 9.46, meaning the measurement of the slope is 9.46 degrees.

Beveled washers are intended for American Standard beams and channels in structural applications to compensate for lack of parallelism. Portland Bolt carries hardened and beveled washers in plain and galvanized finish ranging in diameters of 12“-1”. Hardened beveled washers are covered under the ASTM specification F436 and are generally used with A325 and A490 structural bolts while malleable beveled washers are to be used with low carbon steel bolts.

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Francisco says:

I’m looking for a 2″ square washer tapered from 1/4″ to 3/8″ thick with a 11/16″ hole drilled on the angle. needs to made from A325 Hot dip galvanized bridge beam. must meet New Mexico DOT specs. Will need certs. could you help?

Dane McKinnon says:

@Francisco- There are standard F436 square beveled washers available, but the dimensions you describe are non-standard. We could manufacture per your request, or could supply you with the standards if they will work for you.

Jeff says:

looking for a 2″ square washer tapered from 1/4″ to 1 1/4″ thick with a 7/8″ hole drilled on the angle. needs to made from A36 stainless or your recommendation for a diaphragm bracket on a bridge beam. must meet New Jersey DOT specs. Will need certs. can you help?

Dane McKinnon says:

@Jeff- We could have these specials made at a machine shop if you were able to supply a drawing.

Rick Bohach says:

Do you manufacture “round” beveled washers?

Dane McKinnon says:

@Rick – Yes, special round beveled washers can be specially manufactured to your dimensions.

Jose Sosa says:

First, the slope must be calculated as arc tg (2/12) on your example; 9.462°. fortunately for the reduced slope there is no big mistake but the formulae needs to be corrected in my opinnion.

Second,
AISC and RSCC have a limit of 1:20 on the slope, that is 2.86° which is really lower than 9.462°
¿do beveled washers exist on less than 9.462° or any other angles?

@Jose – Thank you for catching that, we have fixed our error. As far as off the shelf washers, only the 2/12 washers exist, however special sloped washers could be specially manufactured.