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The trapezoidal thread calculator for metric trapezoidal thread dimensions of single and
multiple start trapezoidal threaded rods and nuts for different
pitch diameter tolerance classes.
ISO metric trapezoidal thread profile is a thread form with 30° angle of thread which is used for lead screws (power screws).
Dimensions and tolerances for metric trapezoidal screw threads are defined in
ISO 2901:1993, ISO 2902:1977, ISO 2903:1993 and ISO 2904:1977 standards. Gauges and gauging for ISO metric trapezoidal screw thread are defined in the DIN 103-9:1985 standard.
Metric Trapezoidal Thread Calculator:
| INPUT PARAMETERS | |||
| Choice of Nominal Diameter | |||
| Nominal Diameter | |||
| Choice of Pitch1 | |||
| Rod Thread Pitch Tolerance Class2 | |||
| Nut Thread Pitch Tolerance Class2 | |||
| Number of Start 3 | |||
Note 1: See the „Results“ section for preferred pitch value for selected nominal
diameter.
Note 2: See the „Definitions“ section for recommended tolerance classes.
Note 3: The tolerances for multiple start threads are same with single start
threads except pitch tolerances. The tolerance values of Td2 and TD2
for single start are multiplied by following factors; Number of start – Factor :
2 – 1.12 , 3 – 1.25 , 4 – 1.4 , 5 – 1.6
| RESULTS | |||
| Parameter | Value | ||
| Designation | – | – | |
| Nominal Diameter [d] | – | mm | |
| Selected Pitch [P] | – | ||
| Preferred Pitch for Selected Dia. [Ppref]1 | 1.5 | ||
| Lead [L] | – | ||
| Normal Length of Engagement2 | > | ≤ | |
| – | – | ||
| LIMITS OF SIZES FOR TRAPEZOIDAL THREADED ROD (EXTERNAL) | |||
| Major Diameter Tolerance Class | 4h | – | |
| Maximum Major Diameter [dmax] | – | mm | |
| Minimum Major Diameter [dmin] | – | ||
| Pitch Diameter Tolerance Class | – | – | |
| Maximum Pitch Diameter [d2max] | – | mm | |
| Minimum Pitch Diameter [d2min] | – | ||
| Minor Diameter Tolerance Class | – | – | |
| Maximum Minor Diameter [d3max] | – | mm | |
| Minimum Minor Diameter [d3min] | – | ||
| LIMITS OF SIZES FOR TRAPEZOIDAL THREADED NUT (INTERNAL) | |||
| Minimum Major Diameter [D4min] | – | mm | |
| Pitch Diameter Tolerance Class | – | – | |
| Maximum Pitch Diameter [D2max] | – | mm | |
| Minimum Pitch Diameter [D2min] | – | ||
| Minor Diameter Tolerance Class | 4H | – | |
| Maximum Minor Diameter [D1max] | – | mm | |
| Minimum Minor Diameter [D1min] | – | ||
| BASIC DIMENSIONS | |||
| Major Diameter for External Threads [d] | – | mm | |
| Pitch Diameter for External Threads [d2] | – | ||
| Minor Diameter for External Threads [d3] | – | ||
| Height of the Overlapping [H1] | – | ||
| Height of Internal Threads [H4] | – | ||
| Height of External Threads [h3] | – | ||
| Major Diameter for Internal Threads [D4] | – | ||
| Pitch Diameter for Internal Threads [D2] | – | ||
| Minor Diameter for Internal Threads [D1] | – | ||
| Clearance on the Crest [ac] | – | ||
| Max. Radius-1 [R1max] | – | ||
| Max. Radius-2 [R2max] | – | ||
Note 1: Preferred pitch value for selected nominal diameter of trapezoidal metric thread.
Note 2: If the length of engagement is larger than this range, length of engagement is classified as long. See the „Definitions“ section for preferred
pitch diameter tolerances according to length of engagement.
Definitions:
Basic profile: The theoretical profile of a screw thread in an axial plane defined by theoretical dimensions and angles
common to internal and external threads
Metric Trapezoidal Thread Form
Crest: The surface at the top of the ridge connecting its two flanks.
Gauges and Gauging: Details for
the manufacture and use of gauges for checking ISO metric trapezoidal screw
threads are specified in the DIN 103-9:1985 standard. It specifies the features
of the types of gauges (thread plug and ring gauges, plain plug and ring gauges,
wear check plug and ring gauges etc.) which are recommended for checking
trapezoidal threaded rods and nuts.
Lead: The distance that nut
advances in one revolution of the trapezoidal threaded rod.
Major Diameter: The maximum
diameter of a thread which is diameter of the crest of a male thread or root of
a female thread.
Minor Diameter: The minimum
diameter of a thread which is diameter of the root of a male thread or crest of
a female thread.
Recommended tolerance classes for Pitch Diameter:
For general engineering use, select medium tolerance quality. For cases where
manufacturing difficulties exist, coarse tolerance quality can be selected. If
the actual length of thread engagement is unknown, use „Normal“ length of
engagement .
| Tolerance Quality | Tolerances for the pitch diameter | |
| Normal | Long | |
| Recommended tolerance classes for threaded nuts | ||
| Medium | 7H | 8H |
| Coarse | 8H | 9H |
| Recommended tolerance classes for threaded rods | ||
| Medium | 7e | 8e |
| Coarse | 8c | 9c |
Tolerances for Major and Minor Diameter:
The tolerance position for the minor diameter D, and
the major diameter D4 of the nut threads is always
H, i.e. with zero fundamental deviation. The tolerance
position for the major diameter d and minor diameter
d3 of the threaded rod is in all cases h, i.e. with zero
fundamental deviation, and it is independent of the
tolerance position of the pitch diameter.
Tolerances Grades: The following
tolerance grades are specified for the features in the ISO standard.
| Feature | Tolerance Grade | ||
| Minor diameter of nut threads [D1] | 4 | ||
| Major diameter of rod threads [d] | 4 | ||
| Pitch diameter of nut threads [D2] | 7 | 8 | 9 |
| Pitch diameter of rod threads [d2] | 7 | 8 | 9 |
| Minor diameter of rod threads [d3] | 7 | 8 | 9 |
The tolerance grade for the minor diameter (d3) of the
threaded rod is always the same as for the pitch diameter
(d2).
Supplements:
Reference:
- ISO 2901 : 1993, ISO Metric Trapezoidal Screw Threads – Basic Profile and Maximum Material Profile
- ISO 2902 : 1977, ISO Metric Trapezoidal Screw Threads – General Plan
- ISO 2903 : 1993, ISO Metric Trapezoidal Screw Threads – Tolerances
- ISO 2904 : 1977, ISO Metric Trapezoidal Screw Threads – Basic dimensions
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