How do you choose the size of a bolt based on load?

19 Aug.,2024

 

How to Pick the Right Bolt Size? - Nord-Lock Group

On the morning of November 7, , a wind blew through the Tacoma Narrows between Tacoma and the Kitsap Peninsula, Washington, USA. Not an extraordinarily strong wind, but it still set the newly opened dual suspension bridge across the narrow in motion. A local camera shop owner, Barney Elliott, took out his camera and recorded the incident, thereby creating a unique historical document. It had been noted that the bridge swayed and buckled on windy days. On this particular day, the twisting turned into a so-called torsional vibration mode, eventually making the bridge collapse. Fortunately, no one was killed.

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A paper published in the Journal of Sound and Vibration in highlighted that the collapse was caused by aero­elastic fluttering, enhanced by the slippage of the north mid-span cable band (loss of friction grip) which was clamped together by several bolts that were subjected to forces beyond their design capacity. The collapse of the Tacoma Narrows Bridge has become a cautionary tale and a lesson for construction engineering students even today.

A bolt needs to be tightened or tensioned to its design pre-load creating a clamping force on the joint to obtain the best service from it. Any deviation from this will cast doubt on the integrity of the joint. In a bolted joint the fully-tightened bolt will only bear a small portion of the external load placed on the joint. The two ends of the scale are a hard joint with a low stiffness bolt and a high stiffness joint material; and a soft joint with a high stiffness bolt and a low stiffness material. In the first case, the bolt only sustains a small proportion of ­increased force from an external source, but in the other case, the bolt will sustain the majority of the increased external force.

Bill Eccles is a consultant in bolted joints and the founder of the British website Bolt Science, a leading provider of independent technical expertise in bolted joint technology. In his opinion, it is important to understand and quantify the forces on a bolted joint and also their relationship to determine what size bolt is suitable.

&#;The usual function of a bolt is to apply a clamping force to the joint so that when external forces are applied, no joint separation or transverse movement will occur. The bolt is placed under tension on tightening and will stretch slightly to provide the best tensile force on the joint.&#;
Using the largest bolt possible is not the best solution, according to Bill Eccles.

&#;If too big a bolt is used not only are there cost implications but as the bolt gets bigger for a given joint thickness the stretch in the bolt will decrease. This is complicated by the fact that in any bolted joint relaxation or embedding loss in the clamping force will occur, meaning that even if a bolt is tightened fully the joint material will &#;give&#; a little under compression over a period of time and if a large bolt is used there will be much less stretch in the bolt leading to possible bolt loosening and gap formation.&#;

So what happens with a smaller bolt?

&#;In the case of a smaller bolt, the relaxation loss will lead to some loss in tension but it won&#;t be as significant since the bolt has more stretch.&#;

Dr Jeff Vogwell is a senior lecturer at Bath University, UK, in the Department of Mechanical Engineering. In his view, the size of the bolt needed is generally dictated by the bolt material strength. &#;The bolt size used can affect how much tension can be applied &#; generally the larger the bolt diameter or stronger the bolt material the greater the tension that can be applied.&#;

A good bolted joint, Vogwell says, is one which places the bolt in tension and hence the clamped members in compression. Friction between the clamped members helps resist any sliding (shearing) of the joint thus protecting the bolt in shear. Any force trying to separate the plates apart must first &#;uncompress&#; the members &#; this also protects the bolt from metal fatigue should the external loading fluctuate.

&#;A good example is the tightening of bolts securing a cylinder head to the engine block of a car &#; a high tightening torque is very desirable for withstanding the loading caused by the gas pressure in the engine cylinder each cycle.&#;

Nobuyoshi Niina is a Mechanical Metier Manager working for Schlumberger at the Stonehouse Technology Centre in Gloucestershire, UK &#; a drilling centre of excellence supporting ­Schlumberger Oilfield Services.

The centre designs and tests drilling equipment and bolted joints are a large part of this work.

&#;Bolted joints in drilling tools are crucial because they have to operate under conditions of extreme temperature, pressure, shock and vibration. In operation the breakdown of a drilling tool would cost a great deal in loss of man hours and recovery would be almost impossible.&#; Several ways are used to produce the strongest bolted joint.

&#;The required clamping force for the application is calculated and modelled from a complex algorithm by computer, and anti-rotation devices such as the Nord-Lock locking washer system are used to avoid &#;bucking off&#;, caused by a bolt coming loose,&#; says Nobuyoshi Niina.

How to determine the right bolt size?

the function of a bolted joint is to clamp two or more parts together. However, the specific purpose of a bolt is to create a clamping force in the joint and not to sustain shear, bending or excessive dynamic loads.
The aim is to choose a bolt which can sustain a clamping force sufficient to prevent separation or movement between the clamped parts after external forces have been applied and settlement in the joint has occurred. It is always an advantage to choose a bolt with a small diameter and long clamp length in order to minimize the loss of clamp force due to settlement and to create an elastic joint that can absorb vibrations and applied loads. If the bolt is oversized it is not stretched as much as a smaller diameter bolt in order to reach a given pre-load. Even a small settlement will result in a significant loss of clamp force. Furthermore, since a thick bolt is not as elastic as a thin, the bolt will absorb more of the applied load rather than the clamped parts and may fatigue.

Over-sizing a bolt does not always mean that a higher clamp force, and thereby a stronger joint, is obtained. Instead, it often results in a joint with low clamp load, high risk for fatigue failure, increased cost and difficult tightening.

This is how you choose the right bolt for the joint:

  • First, identify the load case
  • Determine the necessary clamping force in the joint
  • Choose the smallest bolt diameter that can support the clamp load
  • Choose an effective bolt securing method
  • Decide on the most appropriate tightening method

Bolt Choice Factors – The How And Why – Bolts 101, Page 2.

This is Page 2, continuing the Bolts 101 article.  Here we discuss choices for bolts for an application.  The previous post, Page 1 of Bolts 101, gives a ton of good background info, so we recommend reading that first, then this one on making a good bolt choice.  Both pages focus on the practical side rather than on all the theoretical detail.

The hard part is defining what bolts to choose for a given job.  It&#;s the hard part because the rules of thumb have lots of exceptions.  Also, it&#;s your judgement and responsibility for the bolt choice.  If the joint is critical &#; especially if it&#;s for safety &#; perhaps some engineering help is appropriate.  However, in most cases you can follow these guidelines and feel quite comfortable in making the decisions.  Just note the exceptions.

See the Bolts 101 article for the basics of bolts.
This is Page 2, about How to choose the bolts to use.
Check out Page 3 for info specific to Stainless Steel bolts.

These pages have a practical focus.  A Google search will give in-depth detail, so no need to repeat it here.

Bolt Choice Factor 1 &#; Size

When mounting an object that comes with bolt holes, use the size of bolts recommended by the manufacturer.  If the item doesn&#;t have specific instructions telling you what bolts to use, then use a bolt size that fits nicely, and fills in the holes.

The caster shown in the photo is a good example.  It has 4 slots that accept 3/8&#; or 10 mm bolts nicely.  Either size works as a bolt choice.  Note:  Because the holes are slots, washers support the nut.

If the holes are not defined for the bolt size, there are lots of other considerations to select the size.

Factor 2 &#; Material Thickness

Use a bolt that works well with the thickness of the materials to connect.  If you&#;re bolting thin sheet metal, then big diameter bolts will not make it more secure.  In fact, when push comes to shove, the material will often fail near the bolts, so it&#;s better to have several smaller fasteners than one large one.

A typical rule of thumb . . . Use a bolt diameter that is 1.5 &#; 2.5 times (up to three times) the thickness of the thinner material you are bolting together.  So, for 1/8&#; material, a 1/4&#; diameter is often a good bolt choice.  For 1/4&#; thick material, perhaps a 3/8&#; or  1/2&#; bolt.

This guideline falls apart for very thin materials, and for really thick stuff.  In both these cases &#; if the joint is critical &#; it&#;s better to use more fasteners rather than bigger ones.  Note:  For thin materials, it&#;s usually best to back the joint with thicker material, like washers, or face plates, then the rules can apply again.

Choice Factor 3 &#; Function

What do the bolts need to do?  Are they through bolts (bolt with a nut)?  Or does the bolt go into a threaded hole?  Maybe the threaded hole goes through?  Or maybe it is blind (go into a threaded hole that does not go through)?

Most of the discussion in this article shows bolts with nuts (and washers), but there are a lot of applications where the threads exist in another part.  Really, the discussion is almost the same either way.  Trailer wheel bolts are a good example where some are bolts into a threaded hub, while other times they are studs with a nut.  Read more in the Trailer Wheel Bolts article.

Anyway, function matters, and it is often connected with the other things on this page like Thread Engagement and Loading (both topics below).  What do the bolts need to do?  Hold stuff, yeah, but do think about what they are holding?  How they are holding it?  And, perhaps most important, how critical is it?  The bolts you choose &#; grade, size, and number &#; should reflect what the bolts need to do.

Factor 4 &#; Number of Bolts

Have you ever noticed that bolts rarely appear with just one?  How many bolts do you need?

When you bolt something, you are constraining it in one direction.  Argumentatively, it constrains more with friction and extended face contact, but if you really want to hold the piece, it requires more bolts.  2 bolts constrain rotation, and at least 3 bolts (not in a line) for bending constraint.  We often see sets of 4 because it&#;s an easy pattern, and it constrains many things very well.

Place bolt patterns so the bolts are spread &#; within reason.  Generally, more distance between them makes the connection stronger.  From the standpoint of holding things down, more is merrier, but it also makes things harder to work with.
The other reason for more bolts is safety.  If the connection involves safety, better to over-kill.

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The image here of the hitch illustrates some of these bolt choice factors.  Bolt size is 1/2&#; (defined by the hitch holes) &#; which is a little more than 2.5 times material thickness (less than 3 times), so that&#;s good in 3/16&#; thick material.  They are Grade 8 for strength because safety is definitely a concern.  Fine thread with Nylock nuts for security in a vibration environment.  The main connection forces are in shear, and they have sufficient distance for joint stability.

In the hitch example, there are 4 connections.  Each bolt connects the materials twice, once on each side.  The 4 connections are not linear, so it&#;s good for stability in bending.

Bolt Choice Factor 5 &#; Strength

Choose the bolt strength based on what you&#;re asking the bolt to do.  For safety, think about higher strength bolts like Grade 8 or more.  In shear forces, think about a diameter that will easily take the loads.  With tension forces, thick about fine threads as well as higher grade material.

There are 2 ways to achieve higher strength.  The first is the bolt material &#; the bolt grade.  Second is the bolt diameter.

As a perspective, from the chart in Part 1, we see that (generalized) Grade 5 is about twice as strong as Grade 2.  That&#;s a great way to increase strength.  Another big improvement is diameter.  When we consider diameter, a 3/8&#; bolt is more than twice the strength of a 1/4&#; bolt.  In fact, it takes a high grade socket head 1/4&#; bolt to match a 3/8&#; grade 2 bolt.  Truly, diameter is also a major factor.  Consider this when using Stainless Steel bolts.

Proper bolt choice for strength comes with a balance of the other factors on this page.  Sometimes we want a less strong bolt for impact or yield considerations.

By the way, when calculating bolt strength, use the root diameter of the threads (smallest diameter inside the threads), not the full diameter of the bolt.  Also, think safety factors &#; and use them generously.

Choice Factor 6 &#; Thread Pitch

Fine Thread or Coarse Thread?  That&#;s a good question without a definitive answer.  Here are some considerations.

  • Coarse Threads don&#;t have as many threads, so they can install faster.
  • Fine Threads can create more clamp force with the reduced thread angle.
  • A Fine Thread bolt is slightly stronger than a Coarse Thread.
  • For vibration, Fine Threads have an advantage (though Nylock nuts, LocTite, etc., are even better).

When choosing bolts, there is not a definitive criteria, so make a call based on the advantages.

For me, I tend to use Coarse threads for smaller bolts (1/4&#;, 6mm and smaller) most of the time.  With larger bolts, I use fine threads in vibration situations and when clamping force is critical.  On the folding trailer tongue, for instance, the clamping bolts are 1/2&#;-20 (fine thread).  Grade 8 for strength over-kill.  The pivot bolts are not tight (or it wouldn&#;t pivot), so they don&#;t enter the calculation, but they are the same size and thread so everything matches.  (And, use the same wrenches on everything.)

Choice Factor 7 &#; Length

How long is enough?  How long is too much?

Long enough is when the threaded portion sticks through the nut with a couple threads out.  Too long is when the unused end of the bolt interferes with something &#; or, when the bolt can&#;t completely tighten.  Just right might be the bolt you have in the bin (because you don&#;t have to go buy something).

With that said, don&#;t be afraid to cut a bolt.  If it&#;s a little too long, cut it to be right, then finish the end.  Likewise, if you need a long or custom bolt, make it with threaded rod.  Read this full article on working with threaded rod.

Don&#;t forget the washers (if you need them) when thinking about length.  Also, special nuts, like Nyloc nuts, require a little more length than standard ones.

For bolts threading into something (not a nut), the concept of &#;long enough&#; must also take into account the thread engagement which is our next bolt choice factor.

Choice Factor 8 &#; Thread Engagement

It&#;s easy to think about bolts with nuts for fastening &#; especially for DIY.  That makes things easy.  However, once in a while, you need to tap a hole.  Taps are pretty easy to use and, when done right, make great threads for screwing a bolt into.  When making your own threads, here are some things to consider.

The rules of thumb for thread engagement involve the material the bolt is threading into as well as the bolt diameter.  It is a ratio with thread engagement length as a function of the bolt diameter.  For instance, 2x means the depth of thread engagement is twice the diameter of the bolt.  In this case, for a 1/4&#; bolt, thread engagement is 2x the diameter, or 1/2&#;.  That&#;s just an example.

In general, use 1x for steel bolts into steel threads.  1.5x minimum and preferably 2x or more for aluminum.  Magnesium and high strength plastics are 2.5x or 3x.

Again, these are rules of thumb, and alloys of the materials act differently.  For Bolts 101 just use these numbers as a perspectives in your bolt choice.

You&#;ll note that most nuts are less than the 1x stated above.  That has a lot to do with the way threads are formed.  Cutting threads with a tap is not as strong as roll forming threads.  Again, just a perspective.

Bolt Choice Factor 9 &#; Loading

Where do you put the bolts when you&#;re building something?  While there are several ways that forces might interact with a bolt, some directions are definitely better than others.  If you have a choice, think about bolt positions and force direction as well as convenience and access.

First choice is putting the bolts as Locators only.  This works when the parts are pushing into each other and the bolts are only there to locate and hold the position.  Not much bolt strength is required for this kind of joint.  Although this is ideal, it&#;s often not how the forces direct.

Second choice is putting the bolts in Shear.  That means the forces want to cut the bolts.  Look above at the hitch photo.  Forces of pulling the trailer and braking are perpendicular to the bolts.  That is shear.  Bolts are very strong in shear, and even when not fully tight, they are still strong in shear.  That said, the bolt must be sized for the forces, so strength and diameter are both important.

The last choice is bolts in Tension.  I say it&#;s last choice, but it&#;s often the only option &#; or in the case of the blue trailer tongue hinge, it&#;s the best option to meet other goals.  Read the section about bolting in our review of the folding tongue for more explanation.  In tension, the bolt relies on the the threads to carry the loads.  When this is needed, use larger bolts, stronger bolts, and multiple bolts for best security.

Mixed Forces

The truth is, most bolting connections are not just one of these forces, they are a combination.  And, often the forces change at different times, so take that all into account.

As an example, look at the caster photo.  In a practical sense, the bolts are there primarily as locators.  The wheels carry the loads to the flange, then the flange is against the steel support.  In reality, there are also shear forces when the brake is on, or when twisting the caster.  Then there are some tension forces when the wheel hits something (like a seam in a concrete floor).

Finally, sometimes forces reverse, like from Shear one way, to Shear the other.  These oscillating or vibrating situations are the worst for bolt choice because they pose a challenge in keeping things tight.  In these cases, we recommend using more bolts, fine threads, and perhaps especially, a method of vibration resistance.  (Like locknuts or wires or cotter pin nuts, . . . .)

Bolt Choice Factor 10 &#; Environment

While it&#;s not really the last thing to consider, the environment for the bolt is pretty important.  See Page 1 of Bolts 101 about finishes for more information.  Also, please see Page 3 for information about Stainless Steel bolts if your environment will include significant moisture or chemicals.

Complications For Bolting

We often think of bolts in a classic way like so many of the images on this page.  Bolt through a hole, and clamps tight.  But there are other applications like the very top &#;feature&#; image.  That bolt is sticking out using nuts to anchor it in place.  The extending part uses the head and top portion of the bolt as a place to hook a spring.

The spring hook bolt as pretty normal clamping &#; with nuts on either side of the structure.  But what about more difficult situations like bolting a trailer safety chain?  What about chain held by a bolt?  Note the intersecting chain links that will not allow the bolted chain link to set fast against the metal surface.  It&#;s hard to clamp the bolt solid because adjacent links are in the way.  Bolt choice here is more about size and locking than about getting it properly tight.

In this case, washers are stacked to provide a foundation for clamping forces.  (Washers with some grinding to fit the chain.)  This can work, but when the bolts are not &#;tight&#;, they will move when yanked into service.  Such situations are not necessarily bad, but certainly require added bolt strength (and size).

It&#;s not just a bolt choice, but also a bolting choice.  Sometimes re-thinking function is the better way, so the bolts are solidly tight.  Here&#;s an example.  (See another example in the Chain Anchor System Free Plans Article.)

Bolt Hole Sizes

How much space do you allow for a bolt hole?  A lot of DIY projects suffer from bolts that are either too loose in their holes, or too tight and hard to assemble.  What&#;s the happy medium?

The problem, honestly, is not usually the size of any given hole, but rather, the alignment of holes with respect to each other.  If you do things DIY with a scribe and a drill press, sometimes the holes don&#;t line up perfectly.  Yeah, I&#;m right there, so here&#;s a post on Aligning Misaligned Holes.

Typically, I add something like 10% to 15% to the bolt diameter for the hole size.  Example:  1/4&#; bolt + 15% = 0.287&#; so round to a 9/32&#; drill = 0.281&#; diameter.  I tend to round down as the bolts get larger.  Example:  1&#; bolt + 15% = 1.15&#;.  That would suggest a 1-1/8&#; hole.  To me, the 1/8&#; hole is a little too loose (sloppy fit), so for bigger bolts, I make it more like 10%.  Example:  1&#; bolt + 10% = 1.1&#; or with rounding = 1-3/32&#; or even 1-1/16&#;.

A good rule of thumb is to add as much tolerance to the hole as you are able to hold in tolerance on the hole location.

Bolt Choice Wrap Up

As simple as bolts seem, there is actually a lot to know about them.  This is a fairly simple overview as a Bolts 101 kind of DIY introduction.  Yet, there is so much more to know.  Fortunately, this is also a subject with a lot of great information on the web.  Just search on the topics that you need to know.  Things like &#;Bolt Thread Pitch&#; or &#;Bolt Shear Strength&#;.  You&#;ll find a ton of great stuff in deeper detail.

Again, this article is an introduction with a practical spin rather than a scientific one.  It&#;s about bolt choice, specifically because the practical side seems to be missing on the bolting sites we&#;ve seen.  Let us know if we&#;ve skipped something important.

Here is some related reading.  Nuts and Bolts 101 is a great overview of all sorts of bolting information.  Then, when you need fasteners, see how to save money on bolts and where to shop.   Good luck with your projects.

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