Information on Screw Threads

Pitch     P Thread Per Inch  TPI = 1/P
Major diameter screw
D    MM     ISO
Basic thread diameter screw
D   "     UST
Major diameter nut
d    MM     ISO
Basic thread diameter nut
d  "     UST
Pitch diameter
D2=d2=D-0.64952*P
Pitch diameter
D2= d2=D-0.64952/TPI 
Minor diameter screw
D1= D-1.227*P
Minor diameter screw
D1= d1=D-1.227/TPI
Minor diameter nut
d1= D-1.0826*P
Minor diameter nut
d1=D-1.0826/TPI
Total Height
H = 0.866*P
Total Height
H = 0.866/TPI
Screw thread height
H = 0.6135*P
Screw thread height
H = 0.6135/TPI
  

Basic Size is the nominal size to which the tolerance is applied to determine the maximum and minimum material size.
 
Allowance is the difference between the design (maximum material condition, MMC) size and the basic size.  

Thread Classes: The different thread classes have differing amounts of tolerance and allowance. 
- Classes 1A, 2A, 3A apply to external threads;
- Classes 1B, 2B, 3B apply to internal threads.  
- Classes 2A and 2B. The maximum diameter of uncoated (unplated) class 2A, (external) thread are less than the basic by the amount of allowance. When a coating is intended, the max diameter of class 2A may be exceeded by the amount of allowance. For an internal thread, the minimum diameters are basic whether or not coated (plated)--no allowance is available at the maximum metal limits. 
- Classes 3A and 3B are used for closer tolerances than those available from classes 2A and 2B. The maximum diameters of Class 3A (external) threads and the minimum diameters of Class 3B (internal) threads are basic, whether coated (plated) or not--thus no allowance or clearance is available for assembly of components at maximum material condition. See 
- Classes 1A and 1B are the replacement threads for American National Class 1. They are intended for special applications involving replacement parts, for quick and easy assembly even when the threads are slightly damaged or dirty.
 
Coating (or plating) of threads The external threads should not be greater than basic size after plating, and the internal threads should not be less than basic size after plating. For electro-plated parts, Class 2A allowance is sufficient for the plating build-up. After plating the external threads should pass a basic Class 3A GO gage and a Class 2A NO-GO gage. Class 3A does not include an allowance--the class 2A allowance may be used as long as it is adequate for the plating thickness considered. Since only Class 2A external threads have an explicit allowance for coating, other classes both internal and external should have the size limits adjusted to allow for the desired coating thickness.

There are several international standards on screw threads. The typical structure of a chain of standards related to screw threads consists of the following links :  

(1) Basic profile, basic dimensions (one or more separate standards).   

(2) Tolerances (in some cases � several documents).  

(5) Gauging system and tolerances of gauges.  

There are numerous types of screw threads applied in machinery; the main differences concern thread profiles. The most important for design and manufacturing of machinery are ISO general purpose metric screw threads. The basic profile of metric screw thread, specified in ISO 68-1, is of triangular form. All dimensions of the profile depend on the pitch P . 

Another standard  is ISO 724 concerning basic (nominal) dimensions: major diameter designated D (for internal thread) or d (for external thread), pitch diameter D2 or d2 and minor diameter D1 or d1. The diameters d and D1 are often called crest diameters.  

The major diameter D or d is the nominal diameter of the thread. In most cases there are several threads with different pitches for a given nominal diameter. The coarse thread is the one with the largest pitch; fine threads have smaller pitches (for a general plan of metric screw threads � see ISO 261). ISO 724 covers threads of nominal diameters 1 up to 300 mm. Designation of coarse metric screw threads consists of the letter M followed by the value of nominal diameter, e.g. M12; the pitch of a coarse thread may be found in ISO 261 (in this case P = 1,75 mm. Designation of a fine screw thread contains also the pitch value, e.g. M12 x 1.   

Tolerances of metric screw threads are specified in ISO 965, consisting of five parts. Most essential is part 1 (ISO 965-1) covering principles and basic data. It should be noticed that this standard belongs basically to the 2nd link of the chain, but it contains also the coding system of metric screw threads; therefore it may be allocated to both links of the chain � 1st and 2nd.   

The tolerance system of metric screw threads is based on tolerances of two diameters in each thread: the pitch and crest diameters. So in internal threads the diameters D2 and D1 are toleranced, in external threads � the diameters d and d2.  

There are several tolerance grades on which the diameter tolerances depend. For the crest diameter of a given thread the tolerance depends, besides the tolerance grade, only on the pitch value  

The pitch diameter tolerance of a given thread results from the tolerance grade, and the pitch and the basic diameter values. 

The fundamental deviation determines the screw thread tolerance position. It may be noticed that the concept of screw thread fundamental deviations is similar to that adopted in the tolerance system according to ISO 286-1 . Tolerance positions are indicated using letters � capital for internal threads, small for external ones. The following fundamental deviations are specified:  

For internal threads: G and H.  

For external threads: e, f, g and h.  

The fundamental deviation, for a given tolerance position, depends only on the pitch of the thread.   

Fundamental deviations apply to all the diameters of the thread � D, D2 and D1 for internal threads, d, d2 and d for external threads . It means that the basic profile of the thread is uniformly shifted positively (for an internal thread) or negatively (for an external thread) resulting in maximum material thread profile. If tolerance position H or h is specified, the maximum material profile is just the basic profile. See thread tolerance zones with tolerance position G and external thread with tolerance position f.

Tolerance zones of an internal (a) and external thread (b).  

Only the diameters of screw threads are toleranced in a direct way. Tolerances of pitch and of flank angle are not specified directly; however, actual thread profile shall be within the tolerance zone  over the assumed length of thread engagement. There are three standardized groups of these lengths, designated S (= short), N (= normal), and L (= long).  

The combination of grade and tolerance position of a thread is called the tolerance class. In general case the tolerance classes for pitch and crest diameters are different � e.g. for pitch diameter 5g, for major diameter 6g (external thread). However, in most recommended cases tolerance classes for both diameters are the same. It should be underlined that the tolerance of pitch diameter always is smaller than the tolerance of crest diameter.   
The complete designation of a thread consists of the following components:  

  • designation of thread itself (see above), 
  • a dash,  
  • designation of tolerance class for pitch diameter,  
  • designation of tolerance class for crest diameter,  

If the length engagement belongs to the groups S or L, the group symbol shall be added to the thread designation, separated by a dash.
In the case of designation without any tolerance class, symbols have the following default meaning:  

  • for internal threads up to M1,4: 5H, for M1,6 and larger: 6H,  
  • for external threads up to M1,4: 6h, for M1,6 and larger: 6g. 

Various tolerance classes give tolerance qualities of screw threads: fine, medium and coarse; for recommended tolerance classes � see the following tables. Tolerance classes in broad frames are intended for commercial screw threads; first choice is in bold print, second choice is in ordinary print �and third choice is in parentheses.   

Recommended tolerance classes for internal threads.   

Tolerance quality  

Tolerance position G  

Tolerance position H  

S  

N  

L  

S  

N  

L  

Fine  

-  

-  

-  

4H  

5H  

6H  

Medium  

(5G)  

6G  

(7G)  

5H  

6H  

7H  

Coarse  

-  

(7G)  

(8G)  

-  

7H  

8H  

Recommended tolerance classes for external threads   

Tolerance quality  

Tolerance position e  

Tolerance position f  

Tolerance position g  

Tolerance position h  

S  

N  

L  

S  

N  

L  

S  

N  

L  

S  

N  

L  

Fine  

-  

-  

-  

-  

-  

-  

-  

(4g)  

(5g4g)  

(3h4h)  

4h  

(5h4h)  

Medium  

-  

6e  

(7e6e)  

-  

6f  

-  

(5g6g)  

6g  

(7g6g)  

(5h6h)  

6h  

(7h6h)  

Coarse  

-  

(8e)  

(9e8e)  

-  

-  

-  

-

8g  

(9g8g)  

-  

-  

-