Spur Gear Calculator Hub
Our Spur Gear Calculators are built to help you design and make gears for various applications. We've use high-end commercial software, equations from the American Gear Manufacturing Association (AGMA), and our own experience to make our calculators as accurate, simple, and accessible as possible.
Whether you're an experienced engineer or first time maker, you can use these calculators to reliably design and inspect gears for your project.
Generate a DXF (or SVG) profile of your racks, external, and internal spur gears. Perfect for laser cutting, routing, water jet cutting, or importing into your preferred CAD package to integrate into a more complex design that features a spur gear.
Measurement over pins calculator for measuring external and internal SPUR and HELICAL gears. Use any acceptable pin, specific pin sizes are not required. Often the measurement is called Measurement over Wires (MOW)
3D .STL GEAR GENERATOR
Generate 3D .STL models of involute spur gears, perfect for 3D-printing, or importing into your preferred CAD or modeling package
Simple input and output, designed for accurate calculations in a suite of free, easy-to-use tools
Get all of the dimensions you need to make your gear blank: tip, pitch, root diameters; as well as the gear teeth: addendum, dedendum, working depth, whole depth. External and Internal Spur Gears!
Determine how far apart your two gears should be to maintain a proper mesh
Also called "Measurement over Spheres," this calculator will help you measure worm shafts (paired with wormgears) for pitch diameter and backlash
Determine the maximum horsepower your gear pair can transmit, based on material, geometry, application, and more
Determine the fundamental gear rack geometry (addendum, dedendum, depth, pitch, etc.), as well as Measurement over Pins for a gear rack
Determine your input and output speed for a gear train of up to eight gears. This calculator has a provision for gears on the same shaft, so you can enter them as you see them
Measure across your gear teeth with calipers for a quick and easy measurement of your gear size and tooth dimensions
Determine the maximum load a gear can withstand via the Lewis Form Factor method
Calculate change gears for your gear-making equipment. From hobbers, shapers, generators and lathes, know what gears you need to make the gear you want
Use three pins to make your own gear work-holding solution, or to make a set of GO/NO-GO gauges to help qualify the gears you make or receive. Want to align a gear tooth to another feature on the hub, this calculator will do the geometry for you.
Calculate the test spacing for your Vari-Roll or other gear checkers. Uses the shaft diameter then: center distance, gear geometry, or test diameter to output spacing and gauge blocks
Find more calculators, including Viscosity Index and Pitch Line Velocity, as well as additional gearing and related resouces
"I just wanted to say THANK YOU, THANK YOU, THANK YOU ...
Better tool than Machinery's Handbook on spur gear calc's."
- David H, Australia
Calculate the lead angle for worms and gear hobs, works with Diametral Pitch and Module
Convert between module, diametral pitch, and circular pitch for your English and metric gears
Calculate the lead angle for threads on screws and bolts, works with TPI, Pitch, and Lead
Calculate the turns and holes for common dividing head ratios, 40:1, 60:1, 90:1
Make Gears With Us
We've used our gear design and manufacturing experience to make these universal calculators, solving common gear problems we've encountered in our own shop over the years.
We've worked on both projects big and small, and at every stage of the process. Whether you're looking to design a new transmission from scratch, reverse engineer a broken gear, set up small scale manufacturing, or refurbish and upgrade a machine. Reach out with your project and we'll see how we can help.
AGMA | AWS
Gear design & Engineering
Evolvent Design, LLC
176 N Olive St.
Ventura, CA 93001
AGMA | AWS
We spent the time making these universal calculators to solve common gear problems we have encountered frequently; Design, Process, & Measurement of Internal and External Spur Gears. If you want to design a new transmission, actuator, planetary or other geared mechanism the DXF generator gives you the CAD sketch you need to get started. If you want to process gears in your shop, the Gear Dimension Calculator gives you the key dimensions you need to make your gear blank. Setup your hobber or shaper with our change gear calculator. If you want to reverse engineer a gear that came in through your job shop door, or check your newly processed gear for accurate size, the MOP calculator is for you.Engineers will appreciate all the calculators but especially the DXF generator as the sketch can be directly imported into CAD packages as the start of a gear design. Our machinists are now used to looking at the output from the Gear Dimension Calculator to make gear blanks in our manual and CNC lathes.The setup will be easier on older equipment using the Change Gear Calculator. Change gear permutations coupled with your machine constants to make any tooth count gear all served up in the most logical order we could determine. Since hobbing machines came late to the CNC party in about 1972 this puts a large quantity of used hobbing machines to benefit from this calculator.The Job Shop uses MOP calculator all the time for those jobs that come in off the street. And we like hearing from our customers that it fits "just right". The overlooked Pitch Plate calculator allows you to fixture any gear of any tooth count for further processing after the teeth are cut - yes the technology is in the numbers and the workholding can be done gracefully.Internal spur gears are calculated too. Look closely at the DXF and Gear Dimension calculators and open up the world of many new gear combinations, OD to ID, Planetary and more...But really anyone that is a "Maker" will enjoy using these tools for their projects.
Evolvent Design, LLC
Closing note from Andrew: Making gears always took me extra time to calculate and quote, plus the machine setup takes some knowledge as well. With self made and improving calculators the quote, process, and QA/QC steps became quicker. For years they were in spreadsheets and some proprietary code. But they were not simple or quick and definitely not available to everyone in our shop. So I started by transferring them to our internal website, and then onto our public website. With some of the modern web tools they were optimized for mobile too, so everyone can check the numbers anywhere in our company. The "internet" and our work always needed more so I added utility calculators like Gear Center Distance, Span, Pitch Plate and more.The world of gears is very interesting to me because of the rich history they have, their interesting complexities, their apparent simplicity, and how a new gear train feels when processed and meshed just right. The manufacturing of metal spur gears can be done in many ways, but the milling, hobbing and shaping processes live in our shop. Your equipment could be any of the following additional processes; wood router, plasma table, water jet table, 3D printer and with the calculators you have all the data necessary.It is amazing to me that our machining forefathers figured it out so long ago. Knowing the history makes me want to improve and do better gear after gear. Use them to make your first gear and everyone after, check out our YouTube and Media posts to see the 5,000 year journey of gears. There are endless ways to combine gears for useful purposes, power transmission, angular rotation, indexing, indicating, actuation and more. Many have been discovered, drop me an e-mail with your story and some photos, I would love to see your creative combination.