Notes on Nuts and Bolts A screw thread is a helical groove on a shaft. When used for delivering power, it is called a drive screw. Drive screws aren't really all that efficient, as they loose a significant amount of power to friction. However, this friction can be put to use in the case of threaded fasteners . You might say that a drive screw is an inclined plane wrapped around a post, while a fastener is a wedge wrapped around a post.
Bolt Terms
A 1/2-13UNC-2A-3 bolt, with a 2" thread and a 1" shank. As nuts and bolts are not perfectly rigid, but stretch slightly under load, the distribution of stress on the threads is not uniform. In fact, on a theoretically infinitely long bolt, the first thread takes a third of the load, the first three threads take three-quarters of the load, and the first six threads take essentially the whole load. Beyond the first six threads, the remaining threads are under essentially no load at all. Therefore, a nut or bolt with six threads acts very much like an infinitely long nut or bolt (and it's a lot cheaper). Thread % %Sum 1 34% 34 34% 2 23% 55 55% 3 16% 71 71% 4 11% 82% 5 9% 91%
Stress on bolt threads. Note how the majority of the stress is on the first thread to the left. Image from Spiralock .
6
7%
98%
There is little point in having more than six threads in anything. Nuts with National Coarse threads typically have 5 threads in them, whereas nuts with National Fine threads have about 8 threads. Nuts are usually stronger than the bolts they are on, which is to say that the bolt will usually break before the nut strips.
It is often said that two threads must be exposed above a nut. The reason for this is that the first two threads of a bolt are often poorly formed, and may not engage the nut properly. If they're not doing their share, the other threads in the nut will be overloaded, and the nut may strip.
Thread Terms Metric and American threads both conform to the same profile, a series of equilateral triangles with the crests chopped off and the roots rounded.
External Standard Thread Profile The depth of the threads is 54.127% of the distance between threads, and the radius of the rounded root is 14.434% of the distance between threads. Another way of looking at it would be to say that 1/ of the height of each equilateral triangle is chopped off the top, and 1/ of the height off the 8 4 bottom, leaving only 5/8 of the height available. (The height of an equilateral triangle is equal to the width times half of the square root of three; 5/8 of this is 0.54127.) The root diameter of the thread is the nominal diameter minus 108.3% of the pitch of the thread. This means that fine threads have larger root diameters than coarse threads, and thus larger tap drill sizes. For threading using a tap or die, most threads are not cut to full depth, but to 75% or so. The resulting threads are not quite as strong, but full depth threading is very hard on the tap or die. Threading on a lathe presents no difficulty cutting to full depth.
Thread Specifications Thread specifications are written thus: 1/2-13UNC-2
which means:
• • • •
bolt diameter threads per inch thread type fit class
There are four Fit Classes, ranging from falling-off-loose to scientific-instrument-tight. • • • •
Class 1 = Loose Class 2 = Free Class 3 = Medium Class 4 = Close
The class is followed by an A for external (screw) threads and a B for internal (nut) threads. Most are class 2. 3 is for precision assembly, and 4 is used for things like lathe lead screws and measuring instruments. In November 1948, NATO issued a new standard for threads, the Unified National system. American bolts had flat-bottomed groves between threads, which interfered with British roundtopped threads. Likewise, British bolts wouldn't fit American nuts. The Unified system uses a round-bottom grove to fit the British threads, and a flat-topped thread to fit the American threads, so it not only fit itself, but both existing systems.
American/United National Threads TPI TPI Size Diameter Coarse Fine
Root Hex Hex Hex SAE SAE SAE Dia. Head Head Nut Washer Washer Washer Coarse Size Thickness Thickness ID OD Thickness
#0
0.0600
-
80
0.0447
#1
0.0730
64
72
0.0560
3/ " 64
#2
0.0860
56
64
0.0668
1/ " 16
#3
0.0990
48
56
0.0771
#4
0.1120
40
48
0.0813
3/ " 32
#5
0.1250
40
44
0.0971
7/ " 64
#6
0.1380
32
40
0.1073
#8
0.1640
32
36
#10
0.1900
24
#12
0.2160
1/ " 4 5/ 16 "
3/ " 32
1/ " 4
1/ " 32
1/ " 8
5/ " 16
1/ " 32
7/ " 64
5/ " 32
3/ " 8
3/ " 64
0.1299
1/ " 8
3/ " 16
7/ " 16
3/ " 64
32
0.1570
1/ " 8
7/ " 32
1/ " 2
1/ " 16
24
28
0.1722
5/ " 32
1/ " 4
9/ " 16
1/ " 16
0.2500
20
28
0.1850
3/ " 8
5/ " 32
9/ " 32
5/ " 8
1/ " 16
0.3125
18
24
0.2400
1/ " 2
13/ " 64
11/ " 32
11/ " 16
1/ " 16
1/ " 16
3/ " 8
0.3750
16
24
0.2940
9/ " 16
15/ " 64
13/ " 32
13/ " 16
1/ " 16
7/ 16 "
0.4375
14
20
0.3440
5/ " 8
9/ " 32
15/ " 32
15/ " 16
1/ " 16
1/ " 2
0.5000
13
20
0.4000
3/ " 4
5/ " 16
17/ " 1-1/ " 32 16
3/ " 32
9/ 16 "
0.5625
12
18
0.4540
7/ " 8
23/ " 64
19/ " 1-3/ " 32 16
3/ " 32
5/ " 8
0.6250
11
18
0.5070
15/ 16 "
25/ " 64
21/ " 1-5/ " 32 16
3/ " 32
3/ " 4
0.7500
10
16
0.6200
11/ " 8
15/ " 32
13/ " 16
1-1/2"
1/ " 8
35/ " 64
15/ " 16
1-3/4"
1/ " 8
39/ " 64
1-1/16"
1-3/4"
1/ " 8
7/ " 8
10.8750
9
14
0.7310
5/ " 16
11" 1.0000 8 12 0.8370 1 /2" A much more complete table is available here.
Metric Threads Metric threads use the same thread profile as SAE threads. The biggest difference is that the thread pitch (distance between consecutive threads) is given instead of threads per unit distance. Fine Hex ISO ISO ISO Coarse Root Dia. Pitc Head Washer Washer Washer Diameter Pitch Coarse h Size ID OD Thickness mm mm mm mm mm mm mm 1
0.25
0.7294
1.1
0.25
0.8294
1.2
0.25
0.9294
1.4
0.30
1.075
1.6
0.35
1.221
1.8
0.35
1.421
2
0.40
1.567
2.2
0.45
1.713
2.5
0.45
2.013
5
3
0.50
2.459
5.5
3.4
7.0
0.6
3.5
0.60
2.850
4
0.70
0.50
3.242
7
4.5
9.0
0.9
4.5
0.75
0.50
3.688
5
0.80
0.50
4.134
8
5.5
10
11
4.917
10
6.7
12.5
1.8
5.5 6
3.2 4
0.50 1.00
0.50
7
1.00
0.75
5.917
8
1.25
0.75
6.647
9
1.25
0.75
7.647
10
1.50
0.75
8.376
11
1.50
0.75
9.376
12
1.75
0.75
14
2.00
16
13
8.7
17
1.8
16
10.9
21
2.2
10.11
18
13.4
24
2.7
1.00
11.83
21
2.00
1.00
13.83
24
17.4
30
3.3
18
2.50
1.00
15.29
20
2.50
1.00
17.29
30
21.5
37.9
3.3
Bolt Strength The Society of Automotive Engineering has issued standard J429, which sets forth standards for both strength. The SAE grade of a bolt is marked on it's head in the form of short radial lines, the number of lines being two less than the SAE grade (i.e.. 3 lines for grade 5). SAE Grade Size Range Strength (psi) 1/ " to 1-1/ " 1 60,000 4 2 1/ " to 3/ " 2 74,000 4 4 7/ " to 1-1/ " 2 60,000 8 2 1/ " to 1" 5 120,000 4 1-1/8" to 15 105,000 1/ " 2 1/ " to 1-1/ " 7 133,000 4 2 1/ " to 1-1/ " 8 150,000 4 2 ASTM standards are sometimes used as well; A325 bolts are the equivalent of SAE 5, and A490 bolts are the equivalent of SAE 8.
Preload A very misunderstood part of bolting stuff together is preload , which is the tension placed on the bolt by the nut (as opposed to the load). A sufficiently high preload will protect the bolt from fatigue as the load changes, as the varying load will change the clamping force on the bolted components, rather than the tension on the bolt. (This is not strictly true, but for a tinkerer like me, it's adequate.) As a rule of thumb, the preload should exceed the maximum load by 15% or so. In order for this to work, however, the joint must be stiffer than the bolt. For this reason, the shank of high-tech bolts are often necked down to the same diameter of the root of the thread. As long as it isn't thinner than the root of the thread, it isn't any weaker than the thread, and therefore doesn't effect overall bolt strength, but it is significantly less stiff than the original shank.
There are two ways to measure preload on a bolt; a torque wrench, and by measuring the angle the nut has turned. Of the two, the latter is more accurate, as friction plays a significant - and more importantly, indeterminate - role when using a torque wrench. Torque = K × preload × diameter
K, the so-called Nut Factor , usually varies between 0.3 and 0.1, and is very sensitive to a number of factors, ranging from temperature to thread condition, even to how fast the bolt is tightened. Measuring the angle the nut has turned is simply measuring how much the bolt is stretching, equal to the pitch (distance between threads) times the number of turns. Using this requires that the components being bolted don't compress much (or compress a known amount), and that the "spring rate" of the bolt be known. Turns = preload ÷ (spring rate × pitch)
For example, if the "spring rate" of a 1/2-13 bolt is 50,000 pounds per inch (note that I made that up, and that most bolts will yield long before stretching an inch), and you need 500 pounds of preload, you'll need to stretch the bolt 500 ÷ 50000 = 0.01 inch. At 13 threads per inch (0.0769 inches per thread), this would equate to 0.13 turns, or about 45° past snug. If more than one bolt is used in a joint, and those bolts are closer together than about four diameters, the preload on one bolt will effect the preload on the other bolts by compressing the joint. This effect is called "crosstalk", and then all bets are off. Joints that are significantly less stiff than the bolts, such as joints involving gaskets, suffer much worse fr om crosstalk. The best way to control crosstalk is to use a carefully thought out tightening sequence (usually a spiral starting at the center, or for circular patterns, alternating bolts), and to tighten the bolts in small steps. Even so, it's a crap shoot.
References • • •
E-mail me at
[email protected] if you find a mistake! Coburn-Myers Fastening Systems: Dimensional Specifications Model Engineering Thread Data Back © 2003 W. E. Johns
