External ISO Metric Trapezoidal Screw Threads Table Chart Sizes TR8 - TR315

ISO Metric Hardware Engineering Data
Fastener and Screw / Bolt Design, Formula and Calculations

Trapezoidal threads are 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 .

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.

The thread form and related equations for calculating Trapezoidal Screw Threads can be seen here:
External ISO Metric Trapezoidal Screw Threads Chart TR320 - TR1120

Click on image to enlarge

Trapezoidal Screw Threads

ISO Thread
Thread Designation
Pitch
External ISO Metric Trapezoidal Threads Table
Tolerance
Class
Major Dia
Pitch Dia
Minor Dia
Max
Min
Max
Min
Max
Min
TR8x1.5
1.5
7e
8.000
7.850
7.183
7.013
6.200
5.921
TR9x1.5
1.5
7e
9.000
8.850
8.183
8.013
7.200
6.921
TR9x2
2
7e
9.000
8.820
7.929
7.739
6.500
6.191
TR10x1.5
1.5
7e
10.000
9.850
9.183
9.013
8.200
7.921
TR10x2
2
7e
10.000
9.820
8.929
8.739
7.500
7.191
TR11x2
2
7e
11.000
10.820
9.929
9.739
8.500
8.191
TR11x3
3
7e
11.000
10.764
9.415
9.203
7.500
7.150
TR12x2
2
7e
12.000
11.820
10.929
10.729
9.500
9.179
TR12x3
3
7e
12.000
11.764
10.415
10.191
8.500
8.135
TR14x2
2
7e
14.000
13.820
12.929
12.729
11.500
11.179
TR14x3
3
7e
14.000
13.764
12.415
12.191
10.500
10.135
TR16x2
2
7e
16.000
15.820
14.929
14.729
13.500
13.179
TR16x3
3
7e
16.000
15.764
14.415
14.191
12.500
12.135
TR16x4
4
7e
16.000
15.700
13.905
13.640
11.500
11.074
TR18x2
2
7e
18.000
17.820
16.929
16.729
15.500
15.179
TR18x3
3
7e
18.000
17.764
16.415
16.191
14.500
14.135
TR18x4
4
7e
18.000
17.700
15.905
15.640
13.500
13.074
TR20x2
2
7e
20.000
19.820
18.929
18.729
17.500
17.179
TR20x3
3
7e
20.000
19.764
18.415
18.191
16.500
16.135
TR20x4
4
7e
20.000
19.700
17.905
17.640
15.500
15.074
TR22x3
3
7e
22.000
21.764
20.415
20.191
18.500
18.135
TR22x5
5
7e
22.000
21.665
19.394
19.114
16.500
16.044
TR22x8
8
7e
22.000
21.550
17.868
17.513
13.500
12.924
TR24x3
3
7e
24.000
23.764
22.415
22.165
20.500
20.103
TR24x5
5
7e
24.000
23.665
21.394
21.094
18.500
18.019
TR24x8
8
7e
24.000
23.550
19.868
19.493
15.500
14.899
TR26x3
3
7e
26.000
25.764
24.415
24.165
22.500
22.103
TR26x5
5
7e
26.000
25.665
23.394
23.094
20.500
20.019
TR26x8
8
7e
26.000
25.550
21.868
21.493
17.500
16.899
TR28x3
3
7e
28.000
27.764
26.415
26.165
24.500
24.103
TR28x5
5
7e
28.000
27.665
25.394
25.094
22.500
22.019
TR28x8
8
7e
28.000
27.550
23.868
23.493
19.500
18.899
TR30x3
3
7e
30.000
29.764
28.415
28.165
26.500
26.103
TR30x6
6
7e
30.000
29.575
26.875
26.540
23.000
22.463
TR30x10
10
7e
30.000
29.470
24.850
24.450
19.000
18.350
TR32x3
3
7e
32.000
31.764
30.415
30.165
28.500
28.103
TR32x6
6
7e
32.000
31.575
28.875
28.540
25.000
24.463
TR32x10
10
7e
32.000
31.470
26.850
26.450
21.000
20.350
TR34x3
3
7e
34.000
33.764
32.415
32.165
30.500
30.103
TR34x6
6
7e
34.000
33.575
30.875
30.540
27.000
26.463
TR34x10
10
7e
34.000
33.470
28.850
28.450
23.000
22.350
TR36x3
3
7e
36.000
35.764
34.415
34.165
32.500
32.103
TR36x6
6
7e
36.000
35.575
32.875
32.540
29.000
28.463
TR36x10
10
7e
36.000
35.470
30.850
30.450
25.000
24.350
TR38x3
3
7e
38.000
37.764
36.415
36.165
34.500
34.103
TR38x7
7
7e
38.000
37.575
34.375
34.020
30.000
29.431
TR38x10
10
7e
38.000
37.470
32.850
32.450
27.000
26.350
TR40x3
3
7e
40.000
39.764
38.415
38.165
36.500
36.103
TR40x7
7
7e
40.000
39.575
36.375
36.020
32.000
31.431
TR40x10
10
7e
40.000
39.470
34.850
34.450
29.000
28.350
TR42x3
3
7e
42.000
41.764
40.415
40.165
38.500
38.103
TR42x7
7
7e
42.000
41.575
38.375
38.020
34.000
33.431
TR42x10
10
7e
42.000
41.470
36.850
36.450
31.000
30.350
TR44x3
3
7e
44.000
43.764
42.415
42.165
40.500
40.103
TR44x7
7
7e
44.000
43.575
40.375
40.020
36.000
35.431
TR44x12
12
7e
44.000
43.400
37.830
37.405
31.000
30.309
TR46x3
3
7e
46.000
45.764
44.415
44.150
42.500
42.084
TR46x8
8
7e
46.000
45.550
41.868
41.468
37.000
36.368
TR46x12
12
7e
46.000
45.400
39.830
39.355
33.000
32.246
TR48x3
3
7e
48.000
47.764
46.415
46.150
44.500
44.084
TR48x8
8
7e
48.000
47.550
43.868
43.468
39.000
38.368
TR48x12
12
7e
48.000
47.400
41.830
41.355
35.000
34.246
TR50x3
3
7e
50.000
49.764
48.415
48.150
46.500
46.084
TR50x8
8
7e
50.000
49.550
45.868
45.468
41.000
40.368
TR50x12
12
7e
50.000
49.400
43.830
43.355
37.000
36.246
TR52x3
3
7e
52.000
51.764
50.415
50.150
48.500
48.084
TR52x8
8
7e
52.000
51.550
47.868
47.468
43.000
42.368
TR52x12
12
7e
52.000
51.400
45.830
45.355
39.000
38.246
TR55x3
3
7e
55.000
54.764
53.415
53.150
51.500
51.084
TR55x9
9
7e
55.000
54.500
50.360
49.935
45.000
44.329
TR55x14
14
7e
55.000
54.330
47.820
47.320
39.000
38.195
TR60x3
3
7e
60.000
59.764
58.415
58.150
56.500
56.084
TR60x9
9
7e
60.000
59.500
55.360
54.935
50.000
49.329
TR60x14
14
7e
60.000
59.330
52.820
52.320
44.000
43.195
TR65x4
4
7e
65.000
64.700
62.905
62.605
60.500
60.030
TR65x10
10
7e
65.000
64.470
59.850
59.425
54.000
53.319
TR65x16
16
7e
65.000
64.290
56.810
56.280
47.000
46.147
TR70x4
4
7e
70.000
69.700
67.905
67.605
65.500
65.030
TR70x10
10
7e
70.000
69.470
64.850
64.425
59.000
58.319
TR70x16
16
7e
70.000
69.290
61.810
61.280
52.000
51.147
TR75x4
4
7e
75.000
74.700
72.905
72.605
70.500
70.030
TR75x10
10
7e
75.000
74.470
69.850
69.425
64.000
63.319
TR75x16
16
7e
75.000
74.290
66.810
66.280
57.000
56.147
TR80x4
4
7e
80.000
79.700
77.905
77.605
75.500
75.030
TR80x10
10
7e
80.000
79.470
74.850
74.425
69.000
68.319
TR80x16
16
7e
80.000
79.290
71.810
71.280
62.000
61.147
TR85x4
4
7e
85.000
84.700
82.905
82.605
80.500
80.030
TR85x12
12
7e
85.000
84.400
78.840
78.365
72.000
71.246
TR85x18
18
7e
85.000
84.200
75.800
75.240
65.000
64.100
TR90x4
4
7e
90.000
89.700
87.905
87.605
85.500
85.030
TR90x12
12
7e
90.000
89.400
83.830
83.355
77.000
76.246
TR90x18
18
7e
90.000
89.200
80.800
80.240
70.000
69.100
TR95x4
4
7e
95.000
94.700
92.905
92.590
90.500
90.011
TR95x12
12
7e
95.000
94.400
88.830
88.300
82.000
81.177
TR95x18
18
7e
95.000
94.200
85.800
85.200
75.000
74.050
TR100x4
4
7e
100.000
99.700
97.905
97.590
95.500
95.011
TR100x12
12
7e
100.000
99.400
93.830
93.300
87.000
86.177
TR100x20
20
7e
100.000
99.150
89.788
89.188
78.000
77.038
TR105x4
4
7e
105.000
104.700
102.905
102.590
100.500
100.011
TR105x12
12
7e
105.000
104.400
98.830
98.300
92.000
91.177
TR105x20
20
7e
105.000
104.150
94.788
94.188
83.000
82.038
TR110x4
4
7e
110.000
109.700
107.905
107.590
105.500
105.011
TR110x12
12
7e
110.000
109.400
103.830
103.300
97.000
96.177
TR110x20
20
7e
110.000
109.150
99.788
99.188
88.000
87.038
TR115x6
6
7e
115.000
114.575
111.875
111.500
108.000
107.413
TR115x12
12
7e
115.000
114.400
108.830
108.330
102.000
101.215
TR115x14
14
7e
115.000
114.330
107.820
107.290
99.000
98.157
TR115x22
22
7e
115.000
114.100
103.776
103.146
91.000
89.989
TR120x6
6
7e
120.000
119.575
116.875
116.500
113.000
112.413
TR120x12
12
7e
120.000
119.400
113.830
113.330
107.000
106.215
TR120x14
14
7e
120.000
119.330
112.820
112.290
104.000
103.157
TR120x22
22
7e
120.000
119.100
108.776
108.146
96.000
94.989
TR125x6
6
7e
125.000
124.575
121.875
121.500
118.000
117.413
TR125x12
12
7e
125.000
124.400
118.830
118.330
112.000
111.215
TR125x14
14
7e
125.000
124.330
117.820
117.290
109.000
108.157
TR125x22
22
7e
125.000
124.100
113.776
113.146
101.000
99.989
TR130x6
6
7e
130.000
129.575
126.875
126.500
123.000
122.413
TR130x12
12
7e
130.000
129.400
123.830
123.330
117.000
116.215
TR130x14
14
7e
130.000
129.330
122.820
122.290
114.000
113.157
TR130x22
22
7e
130.000
129.100
118.776
118.146
106.000
104.989
TR135x6
6
7e
135.000
134.575
131.875
131.500
128.000
127.413
TR135x12
12
7e
135.000
134.400
128.830
128.330
122.000
121.215
TR135x14
14
7e
135.000
134.330
127.820
127.290
119.000
118.157
TR135x24
24
7e
135.000
134.050
122.764
122.094
109.000
107.926
TR140x6
6
7e
140.000
139.575
136.875
136.500
133.000
132.413
TR140x12
12
7e
140.000
139.400
133.830
133.330
127.000
126.215
TR140x14
14
7e
140.000
139.330
132.820
132.290
124.000
123.157
TR140x24
24
7e
140.000
139.050
127.764
127.094
114.000
112.926
TR145x6
6
7e
145.000
144.575
141.875
141.500
138.000
137.413
TR145x12
12
7e
145.000
144.400
138.830
138.330
132.000
131.215
TR145x14
14
7e
145.000
144.330
137.820
137.290
129.000
128.157
TR145x24
24
7e
145.000
144.050
132.764
132.094
119.000
117.926
TR150x6
6
7e
150.000
149.575
146.875
146.500
143.000
142.413
TR150x12
12
7e
150.000
149.400
143.830
143.330
137.000
136.215
TR150x16
16
7e
150.000
149.290
141.810
141.250
132.000
131.110
TR150x24
24
7e
150.000
149.050
137.764
137.094
124.000
122.926
TR155x6
6
7e
155.000
154.575
151.875
151.500
148.000
147.413
TR155x12
12
7e
155.000
154.400
148.830
148.330
142.000
141.215
TR155x16
16
7e
155.000
154.290
146.810
146.250
137.000
136.110
TR155x24
24
7e
155.000
154.050
142.764
142.094
129.000
127.926
TR160x6
6
7e
160.000
159.575
156.875
156.500
153.000
152.413
TR160x12
12
7e
160.000
159.400
153.830
153.330
147.000
146.215
TR160x16
16
7e
160.000
159.290
151.810
151.250
142.000
141.110
TR160x28
28
7e
160.000
158.940
145.750
145.040
130.000
128.862
TR165x6
6
7e
165.000
164.575
161.875
161.500
158.000
157.413
TR165x12
12
7e
165.000
164.400
158.830
158.330
152.000
151.215
TR165x16
16
7e
165.000
164.290
156.810
156.250
147.000
146.110
TR165x28
28
7e
165.000
163.940
150.750
150.040
135.000
133.862
TR170x6
6
7e
170.000
169.575
166.875
166.500
163.000
162.413
TR170x12
12
7e
170.000
169.400
163.830
163.330
157.000
156.215
TR170x16
16
7e
170.000
169.290
161.810
161.250
152.000
151.110
TR170x28
28
7e
170.000
168.940
155.750
155.040
140.000
138.862
TR175x8
8
7e
175.000
174.550
170.868
170.443
166.500
165.837
TR175x12
12
7e
175.000
174.400
168.830
168.330
162.000
161.215
TR175x16
16
7e
175.000
174.290
166.810
166.250
157.000
156.110
TR175x28
28
7e
175.000
173.940
160.750
160.040
145.000
143.862
TR180x8
8
7e
180.000
179.550
175.868
175.443
171.500
170.837
TR180x12
12
7e
180.000
179.400
173.830
173.330
167.000
166.215
TR180x18
18
7e
180.000
179.200
170.800
170.200
160.000
159.050
TR180x28
28
7e
180.000
178.940
165.750
165.040
150.000
148.862
TR185x8
8
7e
185.000
184.550
180.868
180.418
176.500
175.805
TR185x12
12
7e
185.000
184.400
178.830
178.300
172.000
171.177
TR185x18
18
7e
185.000
184.200
175.800
175.170
165.000
164.013
TR185x24
24
7e
185.000
184.050
172.764
172.054
159.000
157.876
TR185x32
32
7e
185.000
183.880
168.735
167.935
151.000
149.735
TR190x8
8
7e
190.000
189.550
185.868
185.418
181.500
180.805
TR190x12
12
7e
190.000
189.400
183.830
183.300
177.000
176.177
TR190x18
18
7e
190.000
189.200
180.800
180.170
170.000
169.013
TR190x24
24
7e
190.000
189.050
177.764
177.054
164.000
162.876
TR190x32
32
7e
190.000
188.880
173.735
172.935
156.000
154.735
TR195x8
8
7e
195.000
194.550
190.868
190.418
186.500
185.805
TR195x12
12
7e
195.000
194.400
188.830
188.300
182.000
181.177
TR195x18
18
7e
195.000
194.200
185.800
185.170
175.000
174.013
TR195x24
24
7e
195.000
194.050
182.764
182.054
169.000
167.876
TR195x32
32
7e
195.000
193.880
178.735
177.935
161.000
159.735
TR200x8
8
7e
200.000
199.550
195.868
195.418
191.500
190.805
TR200x12
12
7e
200.000
199.400
193.830
193.300
187.000
186.177
TR200x18
18
7e
200.000
199.200
190.800
190.170
180.000
179.013
TR200x24
24
7e
200.000
199.050
187.764
187.054
174.000
172.876
TR200x32
32
7e
200.000
198.880
183.735
182.935
166.000
164.735
TR205x4
4
7e
205.000
204.700
202.905
202.550
200.500
199.979
TR210x4
4
7e
210.000
209.700
207.905
207.550
205.500
204.979
TR210x8
8
7e
210.000
209.550
205.868
205.418
201.500
200.805
TR210x12
12
7e
210.000
209.400
203.830
203.300
197.000
196.177
TR210x20
20
7e
210.000
209.150
199.788
199.118
188.000
186.950
TR210x24
24
7e
210.000
209.050
197.764
197.054
184.000
182.876
TR210x36
36
7e
210.000
208.750
191.720
190.870
172.000
170.657
TR215x4
4
7e
215.000
214.700
212.905
212.550
210.500
209.979
TR220x4
4
7e
220.000
219.700
217.905
217.550
215.500
214.979
TR220x8
8
7e
220.000
219.550
215.868
215.418
211.500
210.805
TR220x12
12
7e
220.000
219.400
213.830
213.300
207.000
206.177
TR220x20
20
7e
220.000
219.150
209.788
209.118
198.000
196.950
TR220x24
24
7e
220.000
219.050
207.764
207.054
194.000
192.876
TR220x36
36
7e
220.000
218.750
201.720
200.870
182.000
180.657
TR230x4
4
7e
230.000
229.700
227.905
227.550
225.500
224.979
TR230x8
8
7e
230.000
229.550
225.868
225.418
221.500
220.805
TR230x12
12
7e
230.000
229.400
223.830
223.300
217.000
216.177
TR230x20
20
7e
230.000
229.150
219.788
219.118
208.000
206.950
TR230x24
24
7e
230.000
229.050
217.764
217.054
204.000
202.876
TR230x36
36
7e
230.000
228.750
211.720
210.870
192.000
190.657
TR235x4
4
7e
235.000
234.700
232.905
232.550
230.500
229.979
TR240x4
4
7e
240.000
239.700
237.905
237.550
235.500
234.979
TR240x8
8
7e
240.000
239.550
235.868
235.418
231.500
230.805
TR240x12
12
7e
240.000
239.400
233.830
233.300
227.000
226.177
TR240x20
20
7e
240.000
239.150
229.788
229.118
218.000
216.950
TR240x22
22
7e
240.000
239.100
228.776
228.106
216.000
214.938
TR240x24
24
7e
240.000
239.050
227.764
227.054
214.000
212.876
TR240x36
36
7e
240.000
238.750
221.720
220.870
202.000
200.657
TR250x4
4
7e
250.000
249.700
247.905
247.550
245.500
244.979
TR250x12
12
7e
250.000
249.400
243.830
243.300
237.000
236.177
TR250x22
22
7e
250.000
249.100
238.776
238.106
226.000
224.938
TR250x24
24
7e
250.000
249.050
237.764
237.054
224.000
222.876
TR250x40
40
7e
250.000
248.680
229.700
228.850
208.000
206.637
TR260x4
4
7e
260.000
259.700
257.905
257.550
255.500
254.979
TR260x12
12
7e
260.000
259.400
253.830
253.300
247.000
246.177
TR260x20
20
7e
260.000
259.150
249.788
249.118
238.000
236.950
TR260x22
22
7e
260.000
259.100
248.776
248.106
236.000
234.938
TR260x24
24
7e
260.000
259.050
247.764
247.054
234.000
232.876
TR260x40
40
7e
260.000
258.680
239.700
238.850
218.000
216.637
TR270x12
12
7e
270.000
269.400
263.830
263.300
257.000
256.177
TR270x24
24
7e
270.000
269.050
257.764
257.054
244.000
242.876
TR270x40
40
7e
270.000
268.680
249.700
248.850
228.000
226.637
TR275x4
4
7e
275.000
274.700
272.905
272.550
270.500
269.979
TR280x4
4
7e
280.000
279.700
277.905
277.550
275.500
274.979
TR280x12
12
7e
280.000
279.400
273.830
273.300
267.000
266.177
TR280x24
24
7e
280.000
279.050
267.764
267.054
254.000
252.876
TR280x40
40
7e
280.000
278.680
259.700
258.850
238.000
236.637
TR290x4
4
7e
290.000
289.700
287.905
287.550
285.500
284.979
TR290x12
12
7e
290.000
289.400
283.830
283.300
277.000
276.177
TR290x24
24
7e
290.000
289.050
277.764
277.054
264.000
262.876
TR290x44
44
7e
290.000
288.600
267.685
266.785
244.000
242.560
TR295x4
4
7e
295.000
294.700
292.905
292.550
290.500
289.979
TR300x4
4
7e
300.000
299.700
297.905
297.550
295.500
294.979
TR300x12
12
7e
300.000
299.400
293.830
293.300
287.000
286.177
TR300x24
24
7e
300.000
299.050
287.764
287.054
274.000
272.876
TR300x44
44
7e
300.000
298.600
277.685
276.785
254.000
252.560
TR310x5
5
7e
310.000
309.665
307.394
307.039
304.500
303.979
TR315x5
5
7e
315.000
314.665
312.394
312.039
309.500
308.979

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