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Below, you’ll find a selection of articles valuable for learning, referencing, and working with equations and formulas. Articles featuring a include simple calculators integrated within the text for easy calculations.

Calculated forces when turning

By: Edmund Isakov, Ph.D.

The cutting force when turning is a resultant force that combines tangential, feed and radial force components. These force components can be measured with a three-component force dynamometer. Metalcutting professionals consider Kistler dynamometers the most accurate.


Reaping benefits of radial chip thinning

By: David Conigliaro

The well-established concept of radial chip thinning (RCT) provides compelling productivity-enhancing benefits, but is still not widely applied.


Understanding cutting equations

By: Christopher Tate

The Shop Technology column in the July 2014 issue of Cutting Tool Engineering magazine covers the importance of understanding cutting equations to gain production efficiency.


Understanding tapered spindle connections

By: Dr. Scott Smith

The Machine Technology column in the December 2014 issue of Cutting Tool Engineering discusses the essentials of tapered spindle connections.


Applying flame straightening

By: Tom Lipton

Shop Operations columnist Tom Lipton addresses flame straightening corrections in the May 2015 issue of Cutting Tool Engineering magazine.


Constant chip load machining

By: Steve Kidd

A Seattle shop reaps the benefits of constant chip load machining, according to the October Get With The Program column in Cutting Tool Engineering magazine.


Aluminum can be hard to drill, despite its easy rep

By: Evan Jones Thorne

When drilling, perhaps no variable is as important as the workpiece material. It dictates drill geometry and substrate, tool coating, coolant application, and speeds and feeds. While known for its relative softness and ductility, misconceptions abound among those who regularly drill aluminum. 


ANSI B212.4-2002: Indexable Inserts Identification Guide with Shapes, Tolerances, and Kennametal Systems

By: Edmund Isakov, Ph.D.

Discover the ANSI B212.4-2002 standard for indexable inserts identification, including shapes, tolerances, and thicknesses, with insights into Kennametal’s chip breaker systems.


Coefficient of linear thermal expansion

Dr. Scott Smith, who writes the Machine Technology column for Cutting Tool Engineering magazine, covers some practical steps to improve accuracy and reduce scrap.


Thread milling, simplified

By: Susan Woods

Thread milling may seem exotic, but any shop can do it.


Threading on the manual lathe

By: Tom Lipton

Shop Operations columnist Tom Lipton shares a few tricks for cutting threads on a manual lathe.


Starter kit

Some holemaking technologies have eliminated the need for spot drills, but they're still useful when the ‘perfect' hole is required.


Spindle power and torque limitations

Machine Technology columnist Dr. Scott Smith discusses the constraints related to the selection of machining parameters in the May 2012 issue of Cutting Tool Engineering.


Understanding tangential cutting force when milling

By: Edmund Isakov, Ph.D.

The tangential cutting force and the cutting speed allow you to calculate the required machining power for an operation.


Defining workholding setups

By: Joe Mason

Workholding involves much more than slapping a part in a vise or chuck and pushing the cycle-start button, according to the Workholding column in the April 2012 issue of Cutting Tool Engineering magazine.


Cutting Time for Facing

By: Edmund Isakov, Ph.D.

Comparison between calculating cutting time when facing at a constant cutting speed vs. a constant rpm.


Shop math: Practice makes perfect

Shop Operations column for the August 2010 issue of Cutting Tool Engineering.


New mill

By: Edmund Isakov, Ph.D.

A new concept of calculating the required machining power when milling.


Getting reaming right

By: Alan Richter

Appropriate scenarios for applying a reamer when finishing holes.


Single-point thread programming can be fun and easy

By: Kip Hanson

Before CNC lathes, single-point threading was a pain in the neck. Fast reflexes were needed to engage an engine lathe’s lead-screw dial at precisely the right time and disengage it before crashing into the shoulder. Around the time of the U.S. Bicentennial celebration, tape-operated lathes made all of this headache obsolete. No more fooling with clumsy gearboxes or levers. You simply programmed where you wanted the tool to go and the machine control took care of the rest.


Multiple methods are available for deburring holes

By: Dan Ewing

Burrs present a hazard to those who handle parts during and after the manufacturing process. The deburring method can have a major impact on cycle time, cost, quality and customer satisfaction.


Which is better: dry or wet machining?

By: Andrei Petrilin

Throughout the sometimes-contentious world of machining, the debate rages about whether to apply flood coolant or cut dry. As in many areas of machining, the choice is not easy and requires careful and informed consideration. To further complicate the decision, minimum-quantity lubrication (MQL) can be a successful compromise that provides an efficient and effective answer to the troublesome question. 


Basics of centerless grinding

By: Kip Hanson

For those “making chips” every day, centerless grinding may seem mysterious, but it’s a fairly straightforward process. This article will discuss how it works, where and when it should be used, and offer advice on how to apply this well-established technology. 


Thrufeed centerless OD grinding: Parameter relationships and troubleshooting

By: William Bednarski

On many work parts, the outside diameter (OD) needs to be highly accurate. Tight tolerances are required for OD size, roundness, high and low frequency lobe patterns and taper. Thrufeed centerless OD grinding can achieve precise part quality at an economical processing cost. 


Honing: What It Is, How It Works, and Key Applications in Precision Machining

By: Christopher Tate

Discover the precision and versatility of honing—a machining process ideal for finishing cylinders, correcting bore geometry, and enhancing gear performance. Learn how honing works, its benefits, and key applications in modern manufacturing.


Understanding relationship between air pressure and flow

By: Steve Bruno

“Pressure” and “flow” are common terms when discussing air compressors, but the relationship between the two is often misunderstood.


Chamfers and countersinks halt burr formation

By: Marlon Blandon

The vast majority of threaded holes require some type of chamfer or countersink, which makes it one of the most common machining operations, and, more to the point, one that usually can be improved.


Flat stones for fine finishing

By: Tom Lipton

Abrasive stones commonly found in machine shops are fine for run-of-the-mill deburring and abrading, but absolutely not suitable for precision stoning. For that, you need a pair of carefully prepared, precision-ground flat stones.


Know What You're Tapping

By: David Miskinis

Traditional tap/drill charts recommend drill diameters for each size of tapped hole. But, according to this article, these recommendations are based on the size holes that were typically produced by less-accurate tools and processes used in the past. This article suggests guidelines for producing holes that will, in turn, produce correctly sized tapped holes.


Tapping the Deep Hole

By: Lee Carroll

Tapping holes 1 1/2 times the tap diameter or deeper requires greater care than other tap operations. This article discusses the chip evacuation problems that can make deep-hole tapping a challenge and the tap geometries and flute designs that can tap these holes successfully.


Math matters

By: Christopher Tate

Technology has not removed the need to master calculations.


Boring: Calculating deflection

By: Edmund Isakov, Ph.D.

Eliminating chatter, especially when boring deep holes, is one of the greatest machining challenges.


What is a Collet? Types, Uses, and Design Explained

By: William Leventon

Discover the essential guide to collets: what they are, how they work, their types, and maintenance. Learn about collet applications, advantages, and comparisons to other toolholding systems.


What is a Joule? The History and Applications of Joules, Watts, and Coulombs

By: Edmund Isakov, Ph.D.

Learn about the origin, definition, and practical applications of the Joule, a key energy unit in physics and engineering.


Turning the hard way

By: Holly B. Martin

What is takes to turn the hardest metals.


Seven ways to avoid breaking taps

By: Bob Warfield

Every machinist hates breaking taps. It’s a real pain to extract a broken tap without damaging the part. But there are ways to reduce the number of broken taps shops have to deal with.


Case hardening do-it-yourself

By: Brandt Taylor

How to case-harden steel inexpensively and quickly using an acetylene torch.


Toolholding tips

By: Christopher Tate

Experience is the best teacher.


Overhanging wheels, making your wheel ‘act harder’

By: Jeffrey A. Badger, Ph.D.

Learn why The Grinding Doc is a fan of downfeeding on the workpiece and the meaning of an old adage.


Comprehensive Threading Calculators: RPM, Feed Rate, Thread Milling, Cutting, and Rolling

Efficient and accurate threading is essential in machining, whether you’re performing internal or external threading. Here, you'll find a complete set of threading calculators designed for machinists and engineers, covering threading RPM, pitch, feed rate, milling, cutting speed, and thread rolling diameter calculations. Use these tools to streamline setup and achieve precise, high-quality threads on any material. Each calculator includes formulas for clarity and to ensure accuracy in different threading operations.


Machining Calculators: Speeds, Feeds, and More for Optimal CNC Operations

Optimize your CNC machining and milling operations with our suite of free, interactive calculators designed to improve productivity and precision. This collection includes calculators for determining cutting speed, feed rate, spindle speed, and material removal rate (MRR). Whether working with steel, aluminum, or other materials, these tools help machinists and engineers achieve the ideal speeds and feeds for turning, milling, and drilling applications. By calculating precise parameters, you can extend tool life, improve surface finish, and enhance efficiency in every operation. Each calculator is specifically tailored to key aspects of machining, providing essential insights into chip load, RPM, and metal removal to ensure safe and effective cutting conditions.