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physics

Hex key

Hex key is a physics topic covered in the lgStudy science library. This page brings together a partial reference excerpt, illustrations, worked examples, real-world applications and a short study plan, so you can understand Hex key rather than just read about it. In short: A hex key (also hex wrench, Allen key, Allen wrench) is a simple driver for bolts or screws that have heads with internal hexagonal recesses (sockets). Hex keys are generally formed from a single rod of hard hexagonal steel, having blunt ends that fit snugly into similarly shaped screw sockets.

Hex key — main illustration
Hex key — illustration

Key takeaways

  • Hex key belongs to physics; place it in that map before memorising details.
  • Learn the definition first, then one example that makes the definition concrete.
  • Connect Hex key to a quantity you can measure, compute or draw — that is where exam questions come from.
  • Reproduce the core statement of Hex key from memory before moving on to harder problems.

Reference excerpt

A hex key (also hex wrench, Allen key, Allen wrench) is a simple driver for bolts or screws that have heads with internal hexagonal recesses (sockets). Hex keys are generally formed from a single rod of hard hexagonal steel, having blunt ends that fit snugly into similarly shaped screw sockets. The rod is bent to 90°, forming two arms of unequal length resembling an "L" shape. The tool is usually held and twisted by its long arm, creating a relatively large torque at the tip of the short arm; it can also be held by its short arm to access screws in difficult-to-reach locations and to turn screws faster at the expense of torque. Hex keys are designated with a socket size and are manufactured with tight tolerances. As such, they are usually sold in kits that include a variety of sizes. Key length typically increases with size but not necessarily proportionally so. Variants on this design have the short end inserted in a transverse handle, which can contain multiple keys of varying sizes that can be folded into the handle when not in use. While often used generically, the "Allen" name is a registered trademark (circa 1910) of the Allen Manufacturing Company (now Apex Tool Group) of Hartford, Connecticut.

History The idea of a hex socket screw drive was probably conceived as early as the 1860s to the 1890s, but such screws were probably not manufactured until around 1910. Rybczynski (2000) describes a flurry of patents for alternative drive types in the 1860s to the 1890s in the U.S., which are confirmed to include internal-wrenching square and triangle types (that is, square and triangular sockets), but he explains that these were patented but not manufactured because of the difficulties and expense of doing so at the time. P. L. Robertson of Milton, Ontario, first commercialized the square socket in 1908, having perfected and patented a suitable cold forming method, using the right material and the right die design. In 1909–1910, William G. Allen also patented a method of cold-forming screw heads around a hexagonal die. Published advertisements for the "Allen safety set screw" by the Allen Manufacturing Company of Hartford, Connecticut, exist from 1910. This is the reason why many refer to the hex key as an Allen key. In his autobiography, the founder of the Standard Pressed Steel Company (SPS; now SPS Technologies, Inc.), Howard T. Hallowell Sr. presents a version of events in which SPS developed a hex socket drive in-house, independently of Allen, circa 1911. From this came the Unbrako line of products. This account from Hallowell does not mention the Allen patent of 1910 nor the Allen safety set screw product line. Hallowell does describe, however, the same inspiration also mentioned in connection with Allen for a wave of adoption of the hex socket head, beginning with set screws and followed by cap screws. This was an industrial safety campaign, part of the larger Progressive Movement, to get headless set screws onto the pulleys and shafts of the line shafting that was ubiquitous in factories of the day. The headless set screws would be less likely to catch the clothing of workers and pull them into injurious contact with the running shaft.

SPS at the time was a prominent maker of shaft hangers and collars, the latter of which were put in place with set screws. In pursuit of headless set screws with a better drive than a straight slot, Hallowell said, SPS had sourced set screws of square-socket drive from Britain, but they were very expensive. (This was only 2 years after Robertson's Canadian patent.) This cost problem drove SPS to purchase its first screw machine and make its screws in-house, which led to SPS's foray into fastener sales (for which it later became well known within the metalworking industries). Hallowell said "[for] a while we experimented with a screw containing a square hole like the British screw but soon found these would not be acceptable in this country [the U.S.]. Then we decided to incorporate a hexagon socket into the screw […]." Hallowell does not elaborate on why SPS found that the square hole "would not be acceptable in this country", but it seems likely that it would have to have involved licensing Robertson's patent, which would have defeated SPS's purpose of driving down its cost for internal-wrenching screws (and may have been unavailable at any price, as explained at "List of screw drives > Robertson"). The story, if any, of whether SPS's methods required licensing of Allen's 1910 patent is not addressed by Hallowell's memoir. The book does not mention which method—cold forming or linear broaching—was used by SPS in these earliest years. If the latter was used, then Allen's patent would not have been relevant. Hallowell said that acceptance of the internal-wrenching hexagon drive was slow at first but that it eventually caught on quite strongly. This adoption occurred first in tool and die work and later in other manufacturing fields such as defense (aircraft, tanks, submarines), civilian aircraft, automobiles, bicycles, furniture and others. Concerning the dissemination of the screws and wrenches, Hallowell said "the transition from a square head set screw [Hallowell refers here to the then-ubiquitous external-wrenching square drive] to a hexagon socket head hollow set screw[,] for which had to be developed special keys or wrenches for tightening or loosening the screw, was the cause of more profanity among the mechanics and machine manufacturers than any other single event that happened. […] I am sure that the old-timers who read this book will remember this period vividly." (These transitional growing pains were echoed decades later with the adoption of the Torx drive). World War II, with its unprecedented push for industrial production of every kind, is probably the event that first put most laypersons in contact with the internal-wrenching hexagon drive. (Popular Science magazine would note in 1946 "Cap screws and setscrews with heads recessed to take hexagonal-bar wrenches are coming into increasing use.")

Features

Some features of hex keys are:

… excerpt ends here. Continue reading the full article.

Illustrations

Hex key: Hex keys of various sizes
Hex keys of various sizes
Hex key: Allen Manufacturing Company Inc advertisement for the Allen Safety Set Screw, a brand of set screw, in the Automobile Trade Directory, January 1913
Allen Manufacturing Company Inc advertisement for the Allen Safety Set Screw, a brand of set screw, in the Automobile Trade Directory, January 1913
Hex key: Same hex key, different screw threads
Same hex key, different screw threads
Hex key: Cap head screws of various sizes
Cap head screws of various sizes
Hex key: Button head screws
Button head screws

Worked examples

Example 1 — a first encounter with Hex key

Start with the simplest possible case. Write down what Hex key claims or describes in one sentence, then invent the smallest concrete situation in which that sentence is true. In physics, the smallest case is usually a single object, a single equation or a single measurement. Check that every symbol or term in your sentence has a meaning in that case.

Example 2 — changing one variable

Take the situation from Example 1 and change exactly one quantity: double it, halve it, or set it to zero. Predict what should happen to Hex key before you calculate. Comparing your prediction with the result is the fastest way to find out whether you understand the idea or only the words.

Example 3 — an exam-style question

Typical questions about Hex key ask you to (a) state it precisely, (b) apply it to given data, and (c) explain a limitation. Practise writing all three answers in under five minutes; the third part is what separates a full-mark answer from an average one.

Applications of Hex key

In research
Hex key appears in physics research whenever the underlying quantities have to be modelled precisely. Papers usually cite it as a starting assumption and then explore where it breaks down.
In technology and industry
Engineering practice reuses Hex key in design rules, simulations and safety margins. Knowing the idea lets you read a specification sheet and understand why the numbers look the way they do.
In the classroom
Hex key is common in secondary-school and first-year university syllabi. It links to neighbouring topics American inventions, Bicycle tools, Mechanical hand tools, so understanding it makes those chapters shorter.
In everyday life
Look for Hex key outside the textbook — in sport, cooking, traffic, electronics or the sky above you. An example you found yourself is remembered far longer than one you were given.
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How to study Hex key in 20 minutes

  1. Read the reference excerpt below once, without taking notes.
  2. Close the page and write down what Hex key means in your own words.
  3. Compare your version with the excerpt and mark what you missed.
  4. Work through the three examples above with pen and paper.
  5. Explain Hex key out loud to somebody else — or to Teacher Smith in the lgStudy chat.

Frequently asked questions

What is Hex key in simple terms?

A hex key (also hex wrench, Allen key, Allen wrench) is a simple driver for bolts or screws that have heads with internal hexagonal recesses (sockets). Hex keys are generally formed from a single rod of hard hexagonal steel, having blunt ends that fit snugly into similarly shaped screw sockets.

Why does Hex key matter?

Because it connects several physics ideas at once: it gives you a definition you can apply, a quantity you can calculate, and a way to check whether a result is plausible.

How should I study Hex key?

Read the excerpt, restate it from memory, then work through the examples and applications listed on this page. The five-step study plan above takes about twenty minutes.

What does this page cover?

It gives you a compact reference excerpt plus original lgStudy explanations, examples, applications and study material on Hex key.

Tags

  • American inventions
  • Bicycle tools
  • Mechanical hand tools
  • Screws

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