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This guide is written for hobbyists, prototype builders or engineers looking for some basic information and intuition like:
* If it really matters (risk to property or bodily harm), hire a professional engineer; there could be errors in this guide.
What's the difference between a bolt and a screw? Most sources (like the Machinery's Handbook) define screws and bolts in terms of how they are installed: if you turn the head it's a screw, if you turn a nut it's a bolt. A hex head cap screw and hex bolt may look identical. This guide refers to both interchangably.
This fastener guide gives a great pictorial overview of just about every fastener type, and here is a good overview of possible head types..
This talks about different screw types and their uses, also a bit about washers and rivets.
contents ^
Here's a great doc from tessco that talks about different screw types and their applications, grade and strength information, and screw material guidance.
contents ^The most common thread types are the inch-based Unified coarse / fine (UNC/UNF) and metric coarse / fine. Other types and their purposes are described at the end of this section.
Coarse or Fine? To oversimplify, use a coarse thread unless you're tapping into sheet metal. The differences are:
In 1949, Canada, the United Kingdom, and the US agreed to a Unified thread that is largely the same as the American National thread that came before it, and screws from both systems are interchangeable. The new Unified system bascially added more manufacturing tolerances and tweaked some other ones. See ANSI/ASME B1.1 -1989 (R2001) for details.
Metric threads are specified in ANSI B1.13M-1982 (R1995), which is very nearly equivalent to the original ISO 68 specification.
Camera mount threads: These are generally a coarser old standard called the "Whitworth" 1/4 inch diameter and 20 threads per inch.
UNJ or MJ: These threads are used in situations where fasteners must withstand high fatigue stress, predominantely the aerospace industry. The basic difference between UNJ and UN is a larger root radius. Avoidance of sharp corners is critical for fatigue resistance. The root is given a large enough radius that it could potentially interfere with a typical UN internal thread, so there are both external and internal UNJ threads (and MJ's). According to Blake, it is statistically highly likely that an external UNJ thread will fit a regular internal UN thread.
Standards: In general, the geometry is definied by ANSI, ASME and the ISO, while material strength properties are defined by ASTM, IFI, SAE and ISO.
Cut vs. Rolled Threads: This refers to how threads are manufactured. Rolled threads are stronger than cut/ground threads because they are strain hardened when they are made, and the internal grains of the metal are not cut. The Unified standard doesn't demand that the roots (vallies) of external threads be rounded, but just about all fasteners less than 1" come that way because their threads are rolled (see Blake book ref. above), and rolling produces rounded roots.
Constant pitch series: This refers to the many series of threads where the pitch does not increase with diameter. The 8-UN (8 threads / inch) series is apparently very popular above 1" diameter fasteners. Typically these are used for adjustment devices and not fasteners.
Extra fine threads and minature screws: The Machinery's Handbook has listings of dimensions for really small screws.
Power Screws and ACME Threads: Power screws' job is to translate rotational motion into linear motion. Because of this, efficiency is a concern, and the 60 degree thread profile in standard fasteners is unsuited. The most efficient thread would be square with 90 degree angles, but this is difficult to manufacture, so the ACME thread is used (this has a 15.5 degree angle between root floor and tooth wall). Why is square more efficient? None of its force goes into pushing outward, whereas a 60 degree thread has a substantial force component away from the axial direction of the screw.
contents ^At first thought, sizing a screw for a given load would seem to be a simple matter. If you need to hold 100 lbs, find a screw that can hold 100 lbs before it yields...
But things are not so simple. If a screw can withstand 100 lbs of force before yielding, it is recommended for a number of reasons (discussed in the next section) that it be tightened to about 80 lbs of tension / clamping force just for installation alone. Does that mean that it can only withstand another 20 lbs of external load before it yields? Why would we tighten a screw so much if we're using up the majority of its strength just to hold it in place? It turns out that only a portion of the external load is seen by the bolt, a rough estimate is about 1/3, but this depends on lots of things.
Here's a rough guide for picking a screw or bolt for a given load:
Start off with the load that needs to be held in tension, call this F. If you have a shear (sideways) load, you should design so that friction or dowell pins will bear the load and not the bolt, but if this isn't an option note that shear strength is 60% of tensile strength in many steels.
We'll use a safety factor of 2.5, so the design load is now 2.5F. Now we need to select a screw with enough strength so that it can withstand the combined external load and pre-load from tightening. Assuming that 80% of the bolt's proof strength is being used up in preload, that leaves 20% to handle 1/3 of the external load. Or in other words, we're looking for a bolt where 60% of its proof strength is greater than the load.
Let's try an example: What size grade 2 bolt is necessary to hold 100 lbs? The proof strength of Grade 2 bolts between .24 and .75 inches is 55 ksi (thousand pounds per square inch), and 60% of this is 34.2 ksi. So, we're looking for a bolt with a tensile area greater than our load (2.5*100 lbs) divided by 33 ksi, or .0076 square inches. A #6 UNC should work. For perspective the diameter of a #6 screw is .138", (1/8 = .125"). If this seems small, keep in mind that the ultimate strength (breaking strength) of a Grade 2 bolt is 74 ksi, so a #6 screw could theoretically hold 672 lbs in pure tension. If you're wondering why bolts you see in cars and weight machines are so large, it's partly to gaurd against loosening and fatigue failure in addition to safety factors.
What about changing loads? According to this Unbrako whitepaper on the Fastener Act, over 85% of failures are due to fatigue and not a simple overloading situation. Think about breaking a paper clip, which is easier: bending it back and forth or out-right pulling it apart? If you have an oscillating load and want a joint to last forever, the best advice we can offer is to multiply the anticipated load by 10 or more, and even this may not be sufficient. Steel can handle about half of its ultimate strength in an alternating load, but add in the pre-load stress and something called a "Stress Concentration Factor" due to the threads and the problem gets more complicated quickly. Here's a good explanation of these effects along with a lot of other great screw information.
contents ^In the tables below, we use 80% of proof strength as an estimate for the amount of stress on a correctly tightened bolt just due to its installed clamping force, without any external loads. The Machinery's handbook recommends 50-80% of ultimate tensile strength, or 75-90% of yield or proof strength (75% for reusable joints, 90% for permanent). Some screws are even tightened to yield. It would seem that this level of installation tightness leaves very little strength left over to handle external loads... why do this?
One subtle point is that the percentage of the load seen by the bolt only depends on the relative stiffness of the joint and bolt, not on the amount of preload. As long as joint separation does not occur, additional tightening preload does not buy any additional fatigue protection. Large intial preloads still pretect against joint separation, but unless you know otherwise, it's probably not worthwhile to tighten right up near yield.
According to the Machinery's handbook, tightening by feel is only +-35% accurate, and using a torque wrench only improves the accuracy to about +-25%. These uncertainties are massive, and give good reason not to tighten too close to yield, or too loose, and also to design a joint so that it will still work with a huge span of possible pre-loads. A method called "turn-of-nut" can supposedly get within +-10%, but this relies heavily on a reliable starting point from which to start counting turns (see Machinery's handbook).
If the application is critical (and you are not relying on this guide), ultrasonic sensing of the bolt length or drilling a hole down the middle and attaching strain gages will achieve much higher accuracy. Friends in the navy have told us that workers will sometimes heat a very large bolt during installation to utilize its cooling stretch in achieving proper preload.
To add two more variables, additional torsional loads are present during installation, although these usually dissipate shortly afterwords. It can also be assumed that, due to a variety of factors (surface smoothness, uneven loads, thread deformation), some 10% of preload will be lost.
Why is a torque wrench so imprecise? Friction. Some 80+% of applied torque goes into defeating friction, leaving little for actually stretching the bolt. What's worse is that this friction is highly unpredictable and depends heavily on the materials involved and any lubrication that may be present. Most fasteners have a small amount of oil present from the manufacturer to prevent rust.
From the machinery's handbook, the following equation can be used to approximate the required torque for a given preload:
| material | K |
|---|---|
| mild-steel, 1/4 - 1 inch dia. | .2 |
| nonplated black finish | .3 |
| zinc-plated | .2 |
| lubricated | .18 |
| cadmium-plated | .16 |
Just to get a flavor, using K=.2 and 80% of 120 ksi proof strength for a SAE Grade 8 1/4 bolt, the above formula gives a seating torque of about 150 in-lbs, or about 13 lbs at the end of a foot long wrench.
Another method recommended by the Machinery's Handbook is to measure the torque necessary to break a test bolt, and then use 50-60% of this value. This will supposedly be 60-70% of yield.
Pencom offers a chart with recommended torques for various grades and sizes of screws. Another chart from the Elgin fastener Group. Joseph has a great page about bolt tension and even did his own experiment to verify the variability of tightening by hand.
contents ^There are numerous standards that fasteners are manufactured to, and those standards describe everything from material chemistry to surface finish to heat treatment. The most relevant numbers are "Proof Stress," "Yield Stress" and "Tensile / Ultimate Stress." Tensile Strength is how much stress the material can withstand before finally ripping apart. Yield Stress is the amount of stress that a material can undergo before permanently stretching. Proof stress is similar to Yield stress except that it is slightly less (about 90%), and only applies to fasteners. The thread geometry causes them to yield slightly before the Yield stress level of the material, so Proof Stress can be thought of the true yield--in other words, the fastener will behave like a spring below that stress level.
So which of these numbers should be used? While there are many arguments for tightening a screw past its yield point (for instance), from this author's viewpoint, if an external load yields a screw, and if that load is ever removed, the screw will now be permanently stretched and loose. Therefore, we recommend designing so that the combined internal and external loads stay below the proof stress to avoid any possibility of yielding. If proof stress is unknown, 85% of Yield stress can be used as an approximation. The ultimate or tensile stress is sometimes designed to, but we do not know when this acceptable or not. Also, the ultimate stress is used in designing joints for alternating loads, but this is beyond our scope.
Several organizations publish standards for fasteners. For inch/english, this includes SAE, ASTM, ANSI, ASME and others, although the most commonly used are the SAE "Grades." (standard J429). The most common metric specifications are published by the ISO. (ANSI metric specs agree with ISO for all practical purposes--Machinery's Handbook)
| Head Marking | Grade | Diameter (in) | Proof Strength | Yield Strength | Tensile (Ultimate) Strength |
|---|---|---|---|---|---|
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2 | 1/4 to 3/4 | 55 | 57 | 74 |
| 3/4 to 1-1/2 | 33 | 36 | 60 | ||
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5 | 1/4 to 1 | 85 | 92 | 120 |
| 1 to 1-1/2 | 74 | 81 | 105 | ||
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8 | 1/4 to 1-1/2 | 120 | 130 | 150 |
Socket Head Cap Screws made from alloy steel are typically manufactured to a higher strength than SAE Grade 8: 180 ksi tensile strength for fasteners up to 1/2 inch, 170 ksi for larger sizes (ASTM A574, p. G-34).
For many more head markings and their corresponding specifications, see here.
Metric fasteners are marked with two numbers separated by a decimal point, like 10.9. The 10 is 1/100 of tensile strength in MPa, and the .9 represents the ratio of yield to tensile strength. So 10.9 represents a tensile strength of 1000 MPa and yield of 900 MPa. Some strengths are stronger than this method shows, see table 10 on this page. Other references for this table: here and here.
| Grade | size range | proof strength (MPa) | approx yield strength (MPa) grade dec x tensile* | tensile strength (MPa) | approx equiv. to SAE grade: |
|---|---|---|---|---|---|
| 4.8 | M1.6-M16 | 310 | 336 | 420 | SAE 2 |
| 8.8 | < M16 | 580 | 640 | 800 | SAE 5 |
| M16-M76 | 600 | 660 | 830 | ||
| 10.9 | > M5 | 830 | 940 | 1040 | SAE 8 |
| 12.9 | M1.6-M100 | 970 | 1100 | 1220 | ASTM-A574 alloy socket screws |
For applications where there is any chance of bodily or property harm, don't rely on our external load estimates--they are intended to give a rough approximation of what screws of various grades can hold in non-critical applications, and are based on the following assumptions:
| size - threads / in | dec. major diameter (in) | tensile stress area square inches | Grade 2 (proof strength: <=3/4": 55 ksi >3/4": 33 ksi) | Grade 5 (proof strength: 85 ksi) | Grade 8 (proof strength: 120 ksi) | alloy socket head (ASTM A574) <=1/2": 153 ksi >1/2": 144.5 ksi |
|---|---|---|---|---|---|---|
| #0-80 | .0600 | .00180 | 59.4 | 91.8 | 129.6 | 165.24 |
| #2-56 | .086 | .00370 | 122.1 | 188.7 | 266.4 | 339.66 |
| #2-64 | .086 | .00394 | 130.02 | 200.94 | 283.68 | 361.692 |
| #4-40 | .112 | .00604 | 199.32 | 308.04 | 434.88 | 554.472 |
| #4-48 | .112 | .00661 | 218.13 | 337.11 | 475.92 | 606.798 |
| #6-32 | .138 | .00909 | 299.97 | 463.59 | 654.48 | 834.462 |
| #6-40 | .138 | .01015 | 334.95 | 517.65 | 730.8 | 931.77 |
| #8-32 | .164 | .0140 | 462 | 714 | 1008 | 1285.2 |
| #8-36 | .164 | .01474 | 486.42 | 751.74 | 1061.28 | 1353.132 |
| #10-24 | .190 | .0175 | 577.5 | 892.5 | 1260 | 1606.5 |
| #10-32 | .190 | .0200 | 660 | 1020 | 1440 | 1836 |
| 1/4-20 | .250 | .0318 | 1049.4 | 1621.8 | 2289.6 | 2919.24 |
| 1/4-28 | .250 | .0364 | 1201.2 | 1856.4 | 2620.8 | 3341.52 |
| 5/16-18 | .3125 | .0524 | 1729.2 | 2672.4 | 3772.8 | 4810.32 |
| 5/16-24 | .3125 | .0580 | 1914 | 2958 | 4176 | 5324.4 |
| 3/8-16 | .375 | .0775 | 2557.5 | 3952.5 | 5580 | 7114.5 |
| 3/8-24 | .375 | .0878 | 2897.4 | 4477.8 | 6321.6 | 8060.04 |
| 7/16-14 | .4375 | .1063 | 3507.9 | 5421.3 | 7653.6 | 9758.34 |
| 7/16-20 | .4375 | .1187 | 3917.1 | 6053.7 | 8546.4 | 10896.66 |
| 1/2-13 | .5 | .1419 | 4682.7 | 7236.9 | 10216.8 | 13026.42 |
| 1/2-20 | .5 | .1599 | 5276.7 | 8154.9 | 11512.8 | 14678.82 |
| 9/16-12 | .5625 | .182 | 6006 | 9282 | 13104 | 15779.4 |
| 9/16-18 | .5625 | .203 | 6699 | 10353 | 14616 | 17600.1 |
| 5/8-11 | .625 | .226 | 7458 | 11526 | 16272 | 19594.2 |
| 5/8-18 | .625 | .256 | 8448 | 13056 | 18432 | 22195.2 |
| 3/4-10 | .75 | .334 | 6613.2 | 17034 | 24048 | 28957.8 |
| 3/4-16 | .75 | .373 | 7385.4 | 19023 | 26856 | 32339.1 |
| 7/8-9 | .875 | .462 | 9147.6 | 23562 | 33264 | 40055.4 |
| 7/8-14 | .875 | .509 | 10078.2 | 25959 | 36648 | 44130.3 |
| 1-8 | 1.0 | .606 | 11998.8 | 30906 | 43632 | 52540.2 |
| 1-12 | 1.0 | .663 | 13127.4 | 33813 | 47736 | 57482.1 |
Fine pitch information and more can be found here. Formula for tensile stress area: pi/4* (Nominal_Diameter-.938194*pitch)^2
Formula for load: 60% * tensile area * proof stress / (safety_factor = 1.0)
| size x pitch | tensile stress area square mm | Grade 4.8 (proof strength: M1.6-M16: 310 MPa) | Grade 8.8 (proof strength: < M16: 580 MPa >= M16: 600 Mpa) | Grade 10.9 (proof strength: > M5: 120 MPa) | Grade 12.9 (proof strength: 970 MPa) |
|---|---|---|---|---|---|
| 2x.4 | 2.0732 | 386 N | 721 N | n/a | 1207 N |
| 2.5x.45 | 3.3908 | 631 | 1180 | n/a | 1973 |
| 3x.5 | 5.0308 | 936 | 1751 | n/a | 2928 |
| 4x.7 | 8.7787 | 1633 | 3055 | n/a | 5109 |
| 5x.8 | 14.183 | 2638 | 4936 | n/a | 8255 |
| 6x1 | 20.123 | 3743 | 7003 | 10021 N | 11712 |
| 8x1.25 | 36.609 | 6809 | 12740 | 18231 | 21306 |
| 10x1.5 | 57.99 | 10786 | 20181 | 28879 | 33750 |
| 12x1.75 | 84.267 | 15674 | 29325 | 41965 | 49043 |
| 16x2 | 156.67 | 29141 | 56401 | 78022 | 91182 |
| 20x2.5 | 244.79 | n/a | 88124 | 121905 | 142468 |
| 24x3 | 352.5 | n/a | 126900 | 175545 | 205155 |
If a screw / bolt fails because the threads strip, it can be hard to detect both during installation and later because the threads will still have some grip on the screw. If the bolt breaks, however, it will be completely loose, be easy to detect and remove, and usually fail during installation when additional torsional loads are present (torsional loads usually dissipate within minutes after tightening if you're wondering why we didn't take them into account before). Because of this, fasteners are designed to fail in the bolt, not the threads, so most nuts are more than adequate--just make sure you use a similar grade of nut compared to the screw.
How much thread engagement is needed in a tapped hole, then? According to "Fundamentals of Machine Component Design", 3rd addition, by Juvinall and Marshek, p. 413, if the bolt and nut are of similar material the thread stripping stength will equal the bolt tensile strenth when the nut is .47 * diameter. Standard nuts are 7/8 of a diameter, for comparison.
Interestingly, more than a third of the load is held by the first thread in a nut according to this. As the bolt tightens, its threads stretch and the nut's threads compress, which reduces force on the far threads.
The .47*dia calculation above takes this imbalance into account, but it will certainly be different for other material combinations. This offers some formula (also found in machinery's handbook) for calculating the shear area of threads, but it's uncertain how one would apply that formula given the imbalanced thread load. The Machinery's handbook suggests at least 3 threads of engagement. We recommend 1 diameter depth for steel and 1.5-2 diameters for aluminum. The referenced formulas may at least provide a rough estimate for sheet metal, where thread engagement is limited. Unbrako's Engineering guide has several charts showing experimental testing of various sized holes. According to their guide, formulas have performed poorly at predicting thread strength.
contents ^Washers help distribute load and prevent the screw head from digging into the joint material. If the surface of the joint isn't smooth, it's more likely that the screw will compress higher spots over time and come loose. Also, if the surface is damaged by the screw or nut, it can lead to problems with future re-installation. It's important to use a washer that's hard enough for the given screw. For instance, be sure to use a hardened washer for high-strength screws and bolts (Grade 8 and socket head cap screws).
Locking Devices: There are several different types that ostensibly help to keep a joint from loosening. Their effectiveness depends on the application and is somewhat debateable.
According to the "Handbook of Bolts and Bolted Joints," by Bickford, p. 243, the lock washer undergoes additional deformation after it flattens with a spring rate more comparable to that of the bolt. This extra springyness is helpful for preventing fatigue failure, but it's unlikely that it helps prevent loosening.
These washers are probably most effective in joints where the recommended tightness cannot be achieved, such as soft metal, plastic or wood joints. In these cases, the washer would likely not be entirely flat and would indeed dig into the screw surfaces.
There's a vast amount of different materials, platings and coatings to choose from. This talks about many of these options, we'll focus on some of the more common ones here. The material selection is influenced by required strength, temperature, resistance to corrorsion, joint materials, and cost.
Comments:
Feedback and corrections are greatly appreciated.
A very useful page, thankyou.
This is a very well written article and I have some information I thought might be helpful. The SAE grade marking for number one is the same as for number two. If you use stainless hardware (bolts, nuts, washers) they will not rust for an extremely long time, even in a salt water environment, unless if they are in contact with carbon steel. Then they will rust. If you have to do any cutting or filing of stainless hardware, clean it with a non ferrous wire wheel or brush after the work is done. There can be enough metal transfer from a file to your stainless piece to cause rust to star. Galvanized hardware is a good alternative to stainless but be aware that the process of making something galvanized requires that it is dipped in a molten metal vat (hot dipping). The coating can increase the size the item in thousandth. Also the galvanized coating on a bolt can make the threads thicker causing binding and seizing of the nut. I have snapped many bolts because of galvanizing. I you need a item to be corrosion resistant and you do not want to buy stainless or galvanized components you can use buy a product called Cold-Galvo or Cold Galvanizing spray. It has many of the same proprieties as hot dipped hardware. Though not as effective as hot dipped, it is easy to apply and dries fast. One note of caution about Cold-Galvo and other such sprays; lots of them contain highly dangerous materials such as lead, be very careful when using them and have the necessary respiratory protection. My thoughts about lock washer; they are fine for use in low to no vibration applications. I have worked on many of an engine and found many high grade lock washers snapped in half. Three things; if you are going to use a lock washer but do not want the material to be damaged put a flat washer between the lock washer and the material being secured. Second, if you want an alternative to the lock washer try using lock tight. It is anaerobic drying glue. It will only dry between the threads of the nut and bolt and it is very strong. Lastly, if you need to have a locking nut and bolt use a lock nut instead. They cost a little bit more but are well worth it. My preference is a nylon lock nut. It has a nylon insert that locks the bolt. The other kind that I know of is a pinched lock nut (I don’t know if that is the right name for it), I have only seen these in aluminum but it looks like a standard nut that is slightly squished, the aircraft industry used them a lot. A note on lock nuts; once a lock nut is used and then loosened, the locking ability is reduced. On last thought about nuts and bolts; it whatever you are doing will need to be undone at some future point and time consider applying an anti-seize compound to the threads of the bolt. Your local auto parts store has tubes of anti-seize but it is of a low grade and works only so-so, but the tubes only costs from $3 to $5. If you can afford it buy an industrial grade. A bottle of industrial grade anti-seize about the size of a bottle of Tylenol can cost you up words of $45, but a little goes a very, very long way. Anti-seize has a melting temperature of 1400 F to 1800 F so it is great for engine work. Most of the anti-seize compounds I have seen are copper or graphite based. I hope my ranting has helped.
Awesome info Mark! That’s interesting about steel shavings enabling rust to start from filing a SS screw.
I’ve heard that an easy way to loosen loctite is to hit the bolt with a flame for a minute. I think they sell high-temp loctite, too, though.
One other “locking nut” I’ve read about is one where the threads are slightly off-pitch, or maybe just the last thread… you end up with definite yielding. If things are tightened correctly, though, this happens a little bit in the last couple threads of a normal nut anyway.