External ISO Metric Trapezoidal Screw Threads Table Chart Sizes TR320 - TR1120
ISO Metric Hardware Engineering Data
Fastener and Screw / Bolt Design, Formula and Calculations
Trapezoidal threads are typically pecision rolled screw profiles and often used for lead screws and is similar to the Acme thread form, except the thread angle is 30°. It is codified by DIN 103. Although metric screw threads are generally more prevalent worldwide than imperial threads, the Acme thread is very common worldwide, and may be more widely used than the trapezoidal metric thread.
Trapezoidal threads are defined as follows by ISO standards: ISO 2901, ISO 2901, ISO 2903, ISO 2904 and ISO 103. Gages ISO metric trapezoidal screw thread are defined in the DIN 103-9.
These dimensions are determined by the following formula:
H1 = 0,5P
h3 = H4 = H1 + ac = 0,5P + ac
z = 0,25 P = H1 / 2
d3 = d - 2 x h3 = d - 2(0,5P + ac)
d2 = D2 = d - 2z = d - 0,5P
D1 = d - 2H1 = d - P
D4 = d + 2ac
s = 0,267 95es
R1max. = 0,5 ac
2max. = ac
D = major diameter of internal thread
d = major diameter of external thread (nominal diameter)
D2 = pitch drameter of Internal thread
d2 = pitch diameter of external thread
D1 = minor diameter of internal thread
P = Pitch
H = height of fundamental triangle
H1 = height of basic profile
ac = crest clearance
es = fundamental deviation on external threads
Trapezoidal threads are defined as follows by ISO standards:
TR 8 x 1.5
where Tr designates a trapezoidal thread, 8 is the nominal diameter in millimeters, and 1.5 is the pitch in millimeters. When there is no suffix it is a single start thread. If there is a suffix then the value after the multiplication sign is the lead and the value in the parentheses is the pitch. For example:
TR 60 x 18 (P9) LH would denoted two starts, as the lead divided by the pitch is two. The "LH" denotes a left hand thread.
ISO Thread Thread Designation |
Pitch
|
External ISO Metric Trapezoidal Threads Size Chart |
||||||
Tolerance Class |
Major Dia
|
Pitch Dia
|
Minor Dia
|
|||||
Max
|
Min
|
Max
|
Min
|
Max
|
Min
|
|||
TR320x5 |
5 |
7e |
320.000 |
319.665 |
317.394 |
317.019 |
314.500 |
313.925 |
TR320x12 |
12 |
7e |
320.000 |
319.400 |
313.830 |
313.300 |
307.000 |
306.177 |
TR320x24 |
24 |
7e |
320.000 |
319.050 |
307.764 |
307.054 |
294.000 |
292.876 |
TR320x44 |
44 |
7e |
320.000 |
318.600 |
297.685 |
296.785 |
275.000 |
273.560 |
TR330x5 |
5 |
7e |
330.000 |
329.665 |
327.394 |
327.039 |
324.500 |
323.979 |
TR335x5 |
5 |
7e |
335.000 |
334.665 |
332.394 |
332.039 |
329.500 |
328.979 |
TR340x5 |
5 |
7e |
340.000 |
339.665 |
337.394 |
337.019 |
334.500 |
333.925 |
TR340x12 |
12 |
7e |
340.000 |
339.400 |
333.830 |
333.300 |
327.000 |
326.177 |
TR340x24 |
24 |
7e |
340.000 |
339.050 |
327.764 |
327.054 |
314.000 |
312.876 |
TR340x28 |
28 |
7e |
340.000 |
338.940 |
325.750 |
325.000 |
310.000 |
308.813 |
TR340x44 |
44 |
7e |
340.000 |
338.600 |
317.685 |
316.785 |
295.000 |
293.560 |
TR345x5 |
5 |
7e |
345.000 |
344.665 |
342.394 |
342.039 |
339.500 |
338.979 |
TR350x5 |
5 |
7e |
350.000 |
349.665 |
347.394 |
347.039 |
344.500 |
343.979 |
TR355x5 |
5 |
7e |
355.000 |
354.665 |
352.394 |
352.039 |
349.500 |
348.979 |
TR360x5 |
5 |
7e |
360.000 |
359.665 |
357.394 |
356.994 |
354.500 |
353.894 |
TR360x12 |
12 |
7e |
360.000 |
359.400 |
353.830 |
353.270 |
347.000 |
346.130 |
TR360x24 |
24 |
7e |
360.000 |
359.050 |
347.764 |
347.014 |
334.000 |
332.827 |
TR360x28 |
28 |
7e |
360.000 |
358.940 |
345.750 |
344.950 |
330.000 |
328.750 |
TR360x44 |
44 |
7e |
360.000 |
358.600 |
337.685 |
336.735 |
314.000 |
312.498 |
TR365x5 |
5 |
7e |
365.000 |
364.665 |
362.394 |
361.994 |
359.500 |
358.894 |
TR370x5 |
5 |
7e |
370.000 |
369.665 |
367.394 |
366.994 |
364.500 |
363.894 |
TR375x5 |
5 |
7e |
375.000 |
374.665 |
372.394 |
371.994 |
369.500 |
368.894 |
TR385x5
|
5
|
7e
|
385.000
|
384.665
|
382.394
|
381.994
|
379.500
|
378.894
|
TR395x5
|
5
|
7e
|
395.000
|
394.665
|
392.394
|
391.994
|
389.500
|
388.894
|
TR400x5
|
5
|
7e
|
400.000
|
399.665
|
397.394
|
396.994
|
394.500
|
393.894
|
TR400x12
|
12
|
7e
|
400.000
|
399.400
|
393.830
|
393.270
|
387.000
|
386.130
|
TR400x24
|
24
|
7e
|
400.000
|
399.050
|
387.764
|
387.014
|
374.000
|
372.827
|
TR400x28
|
28
|
7e
|
400.000
|
398.940
|
385.750
|
384.950
|
370.000
|
368.750
|
TR400x32
|
32
|
7e
|
400.000
|
398.880
|
383.735
|
382.885
|
366.000
|
364.673
|
TR400x44
|
44
|
7e
|
400.000
|
398.600
|
377.685
|
376.735
|
354.000
|
352.498
|
TR410x5
|
5
|
7e
|
410.000
|
409.665
|
407.394
|
406.994
|
404.500
|
403.894
|
TR415x5
|
5
|
7e
|
415.000
|
414.665
|
412.394
|
411.994
|
409.500
|
408.894
|
TR420x5
|
5
|
7e
|
420.000
|
419.665
|
417.394
|
416.994
|
414.500
|
413.894
|
TR420x12
|
12
|
7e
|
420.000
|
419.400
|
413.830
|
413.270
|
407.000
|
406.130
|
TR420x24
|
24
|
7e
|
420.000
|
419.050
|
407.764
|
407.014
|
394.000
|
392.827
|
TR420x32
|
32
|
7e
|
420.000
|
418.880
|
403.735
|
402.885
|
386.000
|
384.673
|
TR420x44
|
44
|
7e
|
420.000
|
418.600
|
397.685
|
396.735
|
374.000
|
372.498
|
TR430x5
|
5
|
7e
|
430.000
|
429.665
|
427.394
|
426.994
|
424.500
|
423.894
|
TR435x5
|
5
|
7e
|
435.000
|
434.665
|
432.394
|
431.994
|
429.500
|
428.894
|
TR440x5
|
5
|
7e
|
440.000
|
439.665
|
437.394
|
436.994
|
434.500
|
433.894
|
TR440x12
|
12
|
7e
|
440.000
|
439.400
|
433.830
|
433.270
|
427.000
|
426.130
|
TR440x24
|
24
|
7e
|
440.000
|
439.050
|
427.764
|
427.014
|
414.000
|
412.827
|
TR440x32
|
32
|
7e
|
440.000
|
438.880
|
423.735
|
422.885
|
406.000
|
404.673
|
TR440x36
|
36
|
7e
|
440.000
|
438.750
|
421.720
|
420.820
|
402.000
|
400.595
|
TR440x44
|
44
|
7e
|
440.000
|
438.600
|
417.685
|
416.735
|
394.000
|
392.498
|
TR450x5
|
5
|
7e
|
450.000
|
449.665
|
447.394
|
446.994
|
444.500
|
443.894
|
TR460x5
|
5
|
7e
|
460.000
|
459.665
|
457.394
|
456.994
|
454.500
|
453.894
|
TR460x12
|
12
|
7e
|
460.000
|
459.400
|
453.830
|
453.270
|
447.000
|
446.130
|
TR460x24
|
24
|
7e
|
460.000
|
459.050
|
447.764
|
447.014
|
434.000
|
432.827
|
TR460x32
|
32
|
7e
|
460.000
|
458.880
|
443.735
|
442.885
|
426.000
|
424.673
|
TR460x36
|
36
|
7e
|
460.000
|
458.750
|
441.720
|
440.820
|
422.000
|
420.595
|
TR460x44
|
44
|
7e
|
460.000
|
458.600
|
437.685
|
436.735
|
414.000
|
412.498
|
TR470x5
|
5
|
7e
|
470.000
|
469.665
|
467.394
|
466.994
|
464.500
|
463.894
|
TR480x5
|
5
|
7e
|
480.000
|
479.665
|
477.394
|
476.994
|
474.500
|
473.894
|
TR480x12
|
12
|
7e
|
480.000
|
479.400
|
473.830
|
473.270
|
467.000
|
466.130
|
TR480x24
|
24
|
7e
|
480.000
|
479.050
|
467.764
|
467.014
|
454.000
|
452.827
|
TR480x36
|
36
|
7e
|
480.000
|
478.750
|
461.720
|
460.820
|
442.000
|
440.595
|
TR480x44
|
44
|
7e
|
480.000
|
478.600
|
457.685
|
456.735
|
434.000
|
432.498
|
TR490x5
|
5
|
7e
|
490.000
|
489.665
|
487.394
|
486.994
|
484.500
|
483.894
|
TR500x5
|
5
|
7e
|
500.000
|
499.665
|
497.394
|
496.994
|
494.500
|
493.894
|
TR500x12
|
12
|
7e
|
500.000
|
499.400
|
493.830
|
493.270
|
487.000
|
486.130
|
TR500x24
|
24
|
7e
|
500.000
|
499.050
|
487.764
|
487.014
|
474.000
|
472.827
|
TR500x36
|
36
|
7e
|
500.000
|
498.750
|
481.720
|
480.820
|
462.000
|
460.595
|
TR500x40
|
40
|
7e
|
500.000
|
498.680
|
479.700
|
478.800
|
458.000
|
456.575
|
TR500x44
|
44
|
7e
|
500.000
|
498.600
|
477.685
|
476.735
|
454.000
|
452.498
|
TR510x6
|
6
|
7e
|
510.000
|
509.625
|
506.882
|
506.482
|
503.000
|
502.394
|
TR520x6
|
6
|
7e
|
520.000
|
519.625
|
516.882
|
516.482
|
513.000
|
512.394
|
TR530x5
|
5
|
7e
|
530.000
|
529.665
|
527.394
|
526.994
|
524.500
|
523.894
|
TR530x6
|
6
|
7e
|
530.000
|
529.625
|
526.882
|
526.482
|
523.000
|
522.394
|
TR530x12
|
12
|
7e
|
530.000
|
529.400
|
523.830
|
523.270
|
517.000
|
516.130
|
TR530x24
|
24
|
7e
|
530.000
|
529.050
|
517.764
|
517.014
|
504.000
|
502.827
|
TR530x40
|
40
|
7e
|
530.000
|
528.680
|
509.700
|
508.800
|
488.000
|
486.575
|
TR530x44
|
44
|
7e
|
530.000
|
528.600
|
507.685
|
506.735
|
484.000
|
482.498
|
TR540x6
|
6
|
7e
|
540.000
|
539.625
|
536.882
|
536.482
|
533.000
|
532.394
|
TR550x6
|
6
|
7e
|
550.000
|
549.625
|
546.882
|
546.482
|
543.000
|
542.394
|
TR560x5
|
5
|
7e
|
560.000
|
559.665
|
557.394
|
556.994
|
554.500
|
553.894
|
TR560x12
|
12
|
7e
|
560.000
|
559.400
|
553.830
|
553.270
|
547.000
|
546.130
|
TR560x24
|
24
|
7e
|
560.000
|
559.050
|
547.764
|
547.014
|
534.000
|
532.827
|
TR560x40
|
40
|
7e
|
560.000
|
558.680
|
539.700
|
538.800
|
518.000
|
516.575
|
TR560x44
|
44
|
7e
|
560.000
|
558.600
|
537.685
|
536.735
|
514.000
|
512.497
|
TR560x45
|
45
|
7e
|
560.000
|
558.600
|
537.185
|
536.235
|
513.000
|
511.497
|
TR600x6
|
6
|
7e
|
600.000
|
599.625
|
596.882
|
596.457
|
593.000
|
592.351
|
TR600x12
|
12
|
7e
|
600.000
|
599.400
|
593.830
|
593.270
|
587.000
|
586.130
|
TR600x24
|
24
|
7e
|
600.000
|
599.050
|
587.764
|
587.014
|
574.000
|
572.827
|
TR600x40
|
40
|
7e
|
600.000
|
598.680
|
579.700
|
578.800
|
558.000
|
556.575
|
TR600x44
|
44
|
7e
|
600.000
|
598.600
|
577.685
|
576.735
|
554.000
|
552.498
|
TR600x45
|
45
|
7e
|
600.000
|
598.600
|
577.185
|
576.235
|
553.000
|
551.497
|
TR630x6
|
6
|
7e
|
630.000
|
629.625
|
626.882
|
626.457
|
623.000
|
622.351
|
TR630x12
|
12
|
7e
|
630.000
|
629.400
|
623.830
|
623.270
|
617.000
|
616.130
|
TR630x24
|
24
|
7e
|
630.000
|
629.050
|
617.764
|
617.014
|
604.000
|
602.827
|
TR630x44
|
44
|
7e
|
630.000
|
628.600
|
607.685
|
606.735
|
584.000
|
582.498
|
TR630x45
|
45
|
7e
|
630.000
|
628.600
|
607.185
|
606.235
|
583.000
|
581.497
|
TR670x6
|
6
|
7e
|
670.000
|
669.625
|
666.882
|
666.457
|
663.000
|
662.351
|
TR670x12
|
12
|
7e
|
670.000
|
669.400
|
663.830
|
663.270
|
657.000
|
656.130
|
TR670x24
|
24
|
7e
|
670.000
|
669.050
|
657.764
|
657.014
|
644.000
|
642.827
|
TR670x44
|
44
|
7e
|
670.000
|
668.600
|
647.685
|
646.735
|
624.000
|
622.498
|
TR670x45
|
45
|
7e
|
670.000
|
668.600
|
647.185
|
646.235
|
623.000
|
621.497
|
TR710x7
|
7
|
7e
|
710.000
|
709.575
|
706.375
|
705.925
|
702.000
|
701.313
|
TR710x12
|
12
|
7e
|
710.000
|
709.400
|
703.830
|
703.270
|
697.000
|
696.130
|
TR710x24
|
24
|
7e
|
710.000
|
709.050
|
697.764
|
697.014
|
684.000
|
682.827
|
TR710x44
|
44
|
7e
|
710.000
|
708.600
|
687.685
|
686.735
|
664.000
|
662.498
|
TR710x50
|
50
|
7e
|
710.000
|
708.550
|
684.680
|
683.680
|
658.000
|
656.430
|
TR750x7
|
7
|
7e
|
750.000
|
749.575
|
746.375
|
745.900
|
742.000
|
741.281
|
TR750x12
|
12
|
7e
|
750.000
|
749.400
|
743.830
|
743.200
|
737.000
|
736.043
|
TR750x24
|
24
|
7e
|
750.000
|
749.050
|
737.764
|
736.964
|
724.000
|
722.764
|
TR750x44
|
44
|
7e
|
750.000
|
748.600
|
727.685
|
726.625
|
704.000
|
702.360
|
TR800x7
|
7
|
7e
|
800.000
|
799.575
|
796.375
|
795.900
|
792.000
|
791.281
|
TR800x12
|
12
|
7e
|
800.000
|
799.400
|
793.830
|
793.200
|
787.000
|
786.043
|
TR800x24
|
24
|
7e
|
800.000
|
799.050
|
787.764
|
786.964
|
774.000
|
772.764
|
TR800x44
|
44
|
7e
|
800.000
|
798.600
|
777.685
|
776.625
|
754.000
|
752.360
|
TR850x7
|
7
|
7e
|
850.000
|
849.575
|
846.375
|
845.900
|
842.000
|
841.281
|
TR850x12
|
12
|
7e
|
850.000
|
849.400
|
843.830
|
843.200
|
837.000
|
836.043
|
TR850x24
|
24
|
7e
|
850.000
|
849.050
|
837.764
|
836.964
|
824.000
|
822.764
|
TR850x44
|
44
|
7e
|
850.000
|
848.600
|
827.685
|
826.625
|
804.000
|
802.360
|
TR900x7
|
7
|
7e
|
900.000
|
899.575
|
896.375
|
895.900
|
892.000
|
891.281
|
TR900x12
|
12
|
7e
|
900.000
|
899.400
|
893.830
|
893.200
|
887.000
|
886.043
|
TR900x24
|
24
|
7e
|
900.000
|
899.050
|
887.764
|
886.964
|
874.000
|
872.764
|
TR900x44
|
44
|
7e
|
900.000
|
898.600
|
877.685
|
876.625
|
854.000
|
852.360
|
TR950x8
|
8
|
7e
|
950.000
|
949.550
|
945.868
|
945.368
|
941.000
|
940.243
|
TR950x12
|
12
|
7e
|
950.000
|
949.400
|
943.830
|
943.200
|
937.000
|
936.043
|
TR950x24
|
24
|
7e
|
950.000
|
949.050
|
937.764
|
936.964
|
924.000
|
922.764
|
TR950x44
|
44
|
7e
|
950.000
|
948.600
|
927.685
|
926.625
|
904.000
|
902.360
|
TR1000x8
|
8
|
7e
|
1000.000
|
999.550
|
995.868
|
995.368
|
991.000
|
990.243
|
TR1000x12
|
12
|
7e
|
1000.000
|
999.400
|
993.830
|
993.200
|
987.000
|
986.043
|
TR1000x24
|
24
|
7e
|
1000.000
|
999.050
|
987.764
|
986.964
|
974.000
|
972.764
|
TR1000x44
|
44
|
7e
|
1000.000
|
998.600
|
977.685
|
976.625
|
954.000
|
952.360
|
TR1060x8
|
8
|
7e
|
1060.000
|
1059.550
|
1055.868
|
1055.368
|
1051.000
|
1050.243
|
TR1060x12
|
12
|
7e
|
1060.000
|
1059.400
|
1053.830
|
1053.200
|
1047.000
|
1046.043
|
TR1060x24
|
24
|
7e
|
1060.000
|
1059.050
|
1047.764
|
1046.964
|
1034.000
|
1032.764
|
TR1060x44
|
44
|
7e
|
1060.000
|
1058.600
|
1037.685
|
1036.625
|
1014.000
|
1012.360
|
TR1120x8
|
8
|
7e
|
1120.000
|
1119.550
|
1115.868
|
1115.368
|
1111.000
|
1110.243
|
TR1120x12
|
12
|
7e
|
1120.000
|
1119.400
|
1113.830
|
1113.200
|
1107.000
|
1106.043
|
TR1120x24
|
24
|
7e
|
1120.000
|
1119.050
|
1107.764
|
1106.964
|
1094.000
|
1092.764
|
TR1120x44
|
44
|
7e
|
1120.000
|
1118.600
|
1097.685
|
1096.625
|
1074.000
|
1072.360
|
Related:
-
Length of Screw Thread Engagement per. ISO 965-1 Calculator, Formula and Table Length of engagement of mating threads is selected to utilize full tensile strength of a bolt prior to shearing and nut threads.
- External ISO Metric Trapezoidal Screw Threads Chart TR320 - TR1120
- Internal ISO Metric Trapezoidal Screw Threads Table Chart Sizes TR8 - TR235
- Curved Trapezoid Section Stress Formulas and Calculator
- External ISO Metric Trapezoidal Screw Threads Table Chart Sizes TR8 - TR315
- External ISO Metric Trapezoidal Screw Threads Table Chart Sizes TR320 - TR1120
- Trapezoid Torque Deformation Stress Equations and Calculator
- Trapezoid Surface Area Equation