Technical drawing of the thread cross-section 60 degree flank angle

UNR Thread (USA)

The UNR thread is a variation of the standard UN thread, differing in only one respect: the UNR thread has a rounded thread root, while the UN thread is flat. Otherwise, both thread types are identical.

Fully written out, the designation for the UNR thread is "Unified National Thread Series with external thread controlled root radius." From this term, two things can be inferred:

1. The standard for the UNR thread refers only to external threads ("external thread"), there are no UNR internal threads. Instead, a regular UN thread is used for internal threads.
2. The special feature of the UNR thread is the "controlled root radius," i.e., the radius at the thread root. This is always between 0.108 times and 0.144 times the pitch.

This complex modification of the UN profile was developed in the 1950s. The rounded thread root provides a higher fatigue resistance for the UNR thread, making it suitable for mechanically demanding tasks and ensuring safety in critical areas.

The UNR thread, like all Unified National threads, is controlled by the American National Standards Institute (ANSI) and is standardized according to ANSI/ASME B1.1. It is an inch-based thread with a flank angle of 60°.

The thread designation for the UNR thread consists of three components. First, the external diameter in inches is mentioned, followed by the pitch and the acronym UNR, e.g., 7/16" – 16 UNR. The dimensions of the UNR thread are identical to those of the UN thread.

To fully understand the thread table of the UNR thread, basic knowledge of the UN thread is necessary. This is a series of thread standards with a constant pitch. These are depicted in separate tables according to the number of threads per inch. However, in the UNR thread, all possible variants per pitch are summarized in a single table. This leads to the situation where the same external diameter with different pitches is found several times in the UNR thread table.

In the table below for the UNR thread, we list both the inch measurements for diameter and pitch and their corresponding mm values. Additionally, we have included the required core hole diameter for each thread size if you need to cut a UNR thread yourself.

To the overview thread standards
Thread Identifier
Diameter outside inch
Diameter outside mm
Diameter Core hole mm
Gears per Inch
Pitch mm
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5/16″ – 20 UNR
0,3125
7,938
6,700
20
1,270
5/16″ – 28 UNR
0,3125
7,938
7,100
28
0,907
3/8″ – 20 UNR
0,3750
9,525
8,300
20
1,270
3/8″ – 28 UNR
0,3750
9,525
8,700
28
0,907
7/16″ – 16 UNR
0,4375
11,112
9,580
16
1,587
7/16″ – 32 UNR
0,4375
11,112
10,400
32
0,794
1/2″ – 16 UNR
0,5000
12,700
11,200
16
1,587
1/2″ – 32 UNR
0,5000
12,700
12,000
32
0,794
9/16″ – 16 UNR
0,5625
14,288
12,800
16
1,587
9/16″ – 20 UNR
0,5625
14,288
13,050
20
1,270
9/16″ – 28 UNR
0,5625
14,288
13,490
28
0,907
9/16″ – 32 UNR
0,5625
14,288
13,600
32
0,794
5/8″ – 12 UNR
0,6250
15,875
13,890
12
2,117
5/8″ – 16 UNR
0,6250
15,875
14,400
16
1,587
5/8″ – 20 UNR
0,6250
15,875
14,680
20
1,270
5/8″ – 28 UNR
0,6250
15,875
15,000
28
0,907
5/8″ – 32 UNR
0,6250
15,875
15,200
32
0,794
11/16″ – 12 UNR
0,6875
17,462
15,400
12
2,117
11/16″ – 16 UNR
0,6875
17,462
16,000
16
1,587
11/16″ – 20 UNR
0,6875
17,462
16,250
20
1,270
11/16″ – 28 UNR
0,6875
17,462
16,600
28
0,907
11/16″ – 32 UNR
0,6875
17,462
16,700
32
0,794
3/4″ – 12 UNR
0,7500
19,050
17,000
12
2,117
3/4″ – 28 UNR
0,7500
19,050
18,200
28
0,907
3/4″ – 32 UNR
0,7500
19,050
18,300
32
0,794
13/16″ – 12 UNR
0,0511
20,637
18,600
12
2,117
13/16″ – 16 UNR
0,0511
20,637
19,100
16
1,587
13/16″ – 28 UNR
0,0511
20,637
19,800
28
0,907
13/16″ – 32 UNR
0,0511
12,700
19,900
32
0,794
7/8″ – 12 UNR
0,8750
22,225
20,200
12
2,117
7/8″ – 16 UNR
0,8750
22,225
20,750
16
1,587
7/8″ – 28 UNR
0,8750
22,225
21,400
28
0,907
7/8″ – 32 UNR
0,8750
22,225
21,500
32
0,794
15/16″ – 12 UNR
0,9375
15,875
21,750
12
2,117
15/16″ – 16 UNR
0,9375
23,813
22,300
16
1,587
15/16″ – 28 UNR
0,9375
23,813
23,000
28
0,907
15/16″ – 32 UNR
0,9375
23,813
23,250
32
0,794
1″ – 16 UNR
1,0000
25,400
24,000
16
1,587
1″ – 28 UNR
1,0000
25,400
24,600
28
0,907
1″ – 32 UNR
1,0000
25,400
24,750
32
0,794
1 1/16″ – 8 UNR
1,0625
26,987
24,000
8
3,175
1 1/16″ – 12 UNR
1,0625
26,987
25,000
12
2,117
1 1/16″ – 16 UNR
1,0625
26,987
25,500
16
1,587
1 1/16″ – 20 UNR
1,0625
26,987
25,750
20
1,270
1 1/16″ – 28 UNR
1,0625
26,987
26,250
28
0,907
1 1/8″ – 8 UNR
1,1250
28,575
25,500
8
3,175
1 1/8″ – 16 UNR
1,1250
28,575
27,250
16
1,587
1 1/8″ – 20 UNR
1,1250
28,575
27,500
20
1,270
1 1/8″ – 28 UNR
1,1250
28,575
27,750
28
0,907
1 3/16″ – 8 UNR
1,1875
30,162
27,250
8
3,175
1 3/16″ – 12 UNR
1,1875
30,162
28,250
12
2,117
1 3/16″ – 16 UNR
1,1875
30,162
28,750
16
1,587
1 3/16″ – 20 UNR
1,1875
30,162
29,000
20
1,270
1 3/16″ – 28 UNR
1,1875
30,162
29,500
28
0,907
1 1/4″ – 8 UNR
1,2500
31,750
28,750
8
3,175
1 1/4″ – 16 UNR
1,2500
31,750
30,250
16
1,587
1 1/4″ – 20 UNR
1,2500
31,750
30,750
20
1,270
1 1/4″ – 28 UNR
1,2500
31,750
31,000
28
0,907
1 5/16″ – 8 UNR
1,3125
33,337
30,250
8
3,175
1 5/16″ – 12 UNR
1,3125
33,337
31,500
12
2,117
1 5/16″ – 16 UNR
1,3125
33,337
32,000
16
1,587
1 5/16″ – 20 UNR
1,6250
33,337
30,250
20
1,270
1 5/16″ – 28 UNR
1,3125
33,337
42,500
28
0,907
1 3/8″ – 8 UNR
1,3750
34,925
32,000
8
3,175
1 3/8″ – 16 UNR
1,3750
34,925
33,500
16
1,587
1 3/8″ – 20 UNR
1,3750
34,925
34,000
20
1,270
1 3/8″ – 28 UNR
1,3750
34,925
34,500
28
0,907
1 7/16″ – 6 UNR
1,4375
36,512
32,500
6
4,233
1 7/16″ – 8 UNR
1,4375
36,512
33,500
8
3,175
1 7/16″ – 12 UNR
1,4375
36,512
34,500
12
2,117
1 7/16″ – 16 UNR
1,4375
36,512
36,000
16
1,587
1 7/16″ – 20 UNR
1,4375
36,512
35,500
20
1,270
1 7/16″ – 28 UNR
1,4375
36,512
35,750
28
0,907
1 1/2″ – 8 UNR
1,5000
38,100
35,250
8
3,175
1 1/2″ – 16 UNR
1,5000
38,100
36,500
16
1,587
1 1/2″ – – 20 UNR
1,5000
38,100
36,900
20
1,270
1 1/2″ – 28 UNR
1,5000
38,100
37,310
28
0,907
1 9/16″ – 6 UNR
1,5625
39,688
35,720
6
4,233
1 9/16″ – 8 UNR
1,5625
39,688
36,910
8
3,175
1 9/16″ – 12 UNR
1,5625
39,688
37,710
12
2,117
1 9/16″ – 16 UNR
1,5625
39,688
38,500
16
1,587
1 9/16″ – 20 UNR
1,5625
39,688
38,500
20
1,270
1 5/8″ – 6 UNR
1,6200
41,148
37,310
6
4,233
1 5/8″ – 8 UNR
1,6200
41,148
38,500
8
3,175
1 5/8″ – 12 UNR
1,6200
41,148
39,300
12
2,117
1 5/8″ – 16 UNR
1,6200
41,148
40,000
16
1,587
1 5/8″ – 20 UNR
1,6200
41,148
40,100
20
1,270
1 11/16″ – 6 UNR
1,6875
42,862
38,900
6
4,233
1 11/16″ – 8 UNR
1,6875
42,862
40,000
8
3,175
1 11/16″ – 12 UNR
1,6875
42,862
40,900
12
2,117
1 11/16″ – 16 UNR
1,6875
42,862
41,500
16
1,587
1 11/16″ – 20 UNR
1,6875
42,862
41,700
20
1,270
1 3/4″ – 6 UNR
1,7500
44,450
40,500
6
4,233
1 3/4″ – 8 UNR
1,7500
44,450
41,500
8
3,175
1 3/4″ – 12 UNR
1,7500
44,450
42,470
12
2,117
1 3/4″ – 16 UNR
1,7500
44,450
43,000
16
1,587
1 3/4″ – 20 UNR
1,7500
44,450
43,260
20
1,270
1 13/16″ – 6 UNR
1,8125
46,037
42,000
6
4,233
1 13/16″ – 8 UNR
1,8125
46,037
43,000
8
3,175
1 13/16″ – 12 UNR
1,8125
46,037
44,000
12
2,117
1 13/16″ – 16 UNR
1,8125
46,037
44,500
16
1,587
1 13/16″ – 20 UNR
1,8125
46,037
44,850
20
1,270
1 7/8″ – 6 UNR
1,8750
47,625
43,500
6
4,233
1 7/8″ – 8 UNR
1,8750
47,625
44,850
8
3,175
1 7/8″ – 12 UNR
1,8750
47,625
45,650
12
2,117
1 7/8″ – 16 UNR
1,8750
47,625
46,100
16
1,587
1 7/8″ – 20 UNR
1,8750
47,625
46,430
10
1,270
1 15/16″ – 6 UNR
1,9375
49,212
45,250
6
4,233
1 15/16″ – 8 UNR
1,9375
49,212
46,430
8
3,175
1 15/16″ – 12 UNR
1,9375
49,212
47,250
12
2,117
1 15/16″ – 16 UNR
1,9375
49,212
48,000
16
1,587
1 15/16″ – 20 UNR
1,9375
49,212
48,000
20
1,270
2″ – 6 UNR
2,0000
50,800
46,850
6
4,233
2″ – 8 UNR
2,0000
50,800
48,000
8
3,175
2″ – 12 UNR
2,0000
50,800
48,820
12
2,540
2″ – 16 UNR
2,0000
50,800
49,500
16
1,587
2″ – 20 UNR
2,0000
50,800
49,610
20
1,270
2 1/8″ – 6 UNR
2,1250
53,975
50,000
6
4,233
2 1/8″ – 8 UNR
2,1250
53,975
51,000
8
3,175
2 1/8″ – 12 UNR
2,1250
53,975
52,000
12
2,117
2 1/8″ – 16 UNR
2,1250
53,975
52,500
16
1,587
2 1/8″ – 20 UNR
2,1250
53,975
52,780
20
1,270
2 1/4″ – 6 UNR
2,2500
57,150
53,200
6
4,233
2 1/4″ – 8 UNR
2,2500
57,150
54,370
8
3,175
2 1/4″ – 12 UNR
2,2500
57,150
55,200
12
2,117
2 1/4″ – 16 UNR
2,2500
57,150
55,950
16
1,587
2 1/4″ – 20 UNR
2,2500
57,150
55,950
20
1,270
2 3/8″ – 6 UNR
2,3750
60,325
56,350
6
4,233
2 3/8″ – 8 UNR
2,3750
60,325
57,500
8
3,175
2 3/8″ – 12 UNR
2,3750
60,325
58,340
12
2,117
2 3/8″ – 16 UNR
2,3750
60,325
59,000
16
1,587
2 3/8″ – 20 UNR
2,3750
60,325
59,150
20
1,270
2 1/2″ – 6 UNR
2,5000
63,500
59,500
6
4,233
2 1/2″ – 8 UNR
2,5000
63,500
60,500
8
3,175
2 1/2″ – 12 UNR
2,5000
63,500
61,500
12
2,117
2 1/2″ – 16 UNR
2,5000
63,500
62,500
16
1,587
2 1/2″ – 20 UNR
2,5000
63,500
62,310
20
1,270
2 5/8″ – 6 UNR
2,6250
66,675
62,710
6
4,233
2 5/8″ – 8 UNR
2,6250
66,675
63,900
8
3,175
2 5/8″ – 12 UNR
2,6250
66,675
64,700
12
2,117
2 5/8″ – 16 UNR
2,6250
66,675
65,500
16
1,587
2 5/8″ – 20 UNR
2,6250
66,675
65,500
20
1,270
2 3/4″ – 6 UNR
2,7500
69,850
65,900
6
4,233
2 3/4″ – 8 UNR
2,7500
69,850
67,000
8
3,175
2 3/4″ – 12 UNR
2,7500
69,850
67,900
12
2,117
2 3/4″ – 16 UNR
2,7500
69,850
68,500
16
1,587
2 3/4″ – 20 UNR
2,7500
69,850
68,650
20
1,270
2 7/8″ – 6 UNR
2,8750
73,025
69,000
6
4,233
2 7/8″ – 8 UNR
2,8750
73,025
70,000
8
3,175
2 7/8″ – 12 UNR
2,8750
73,025
71,000
12
2,117
2 7/8″ – 16 UNR
2,8750
73,025
71,500
16
1,587
2 7/8″ – 20 UNR
2,8750
73,025
71,850
20
1,270
3″ – 6 UNR
3,0000
76,200
72,250
6
4,233
3″ – 8 UNR
3,0000
76,200
73,420
8
3,175
3″ – 12 UNR
3,0000
76,200
74,200
12
2,117
3″ – 16 UNR
3,0000
76,200
74,650
16
1,587
3″ – 20 UNR
3,0000
76,200
75,000
20
1,270
3 1/8″ – 6 UNR
3,1250
79,375
75,400
6
4,233
3 1/8″ – 8 UNR
3,1250
79,375
76,300
8
3,175
3 1/8″ – 12 UNR
3,1250
79,375
77,350
12
2,117
3 1/8″ – 16 UNR
3,1250
79,375
77,850
16
1,587
3 1/4″ – 6 UNR
3,2500
82,550
78,500
6
4,233
3 1/4″ – 8 UNR
3,2500
82,550
79,500
8
3,175
3 1/4″ – 12 UNR
3,2500
82,550
80,500
12
2,117
3 1/4″ – 16 UNR
3,2500
82,550
81,000
16
1,587
3 3/8″ – 6 UNR
3,3750
85,725
81,750
6
4,233
3 3/8″ – 8 UNR
3,3750
85,725
82,750
8
3,175
3 3/8″ – 12 UNR
3,3750
85,725
83,750
12
2,117
3 3/8″ – 16 UNR
3,3750
85,725
84,250
16
1,587
3 1/2″ – 6 UNR
3,5000
88,900
84,000
6
4,233
3 1/2″ – 8 UNR
3,5000
88,900
85,900
8
3,175
3 1/2″ – 12 UNR
3,5000
88,900
86,850
12
2,117
3 1/2″ – 16 UNR
3,5000
88,900
87,400
16
1,587
3 5/8″ – 6 UNR
6,0000
92,075
88,100
6
4,233
3 5/8″ – 8 UNR
3,6250
92,075
89,000
8
3,175
3 5/8″ – 12 UNR
3,6250
92,075
90,100
12
2,117
3 5/8″ – 16 UNR
3,6250
92,075
90,600
16
1,587
3 3/4″ – 6 UNR
3,7500
95,250
91,200
6
4,233
3 3/4″ – 8 UNR
3,7500
95,250
92,200
8
3,175
3 3/4″ – 12 UNR
3,7500
95,250
93,250
12
2,117
3 3/4″ – 16 UNR
3,7500
95,250
93,750
16
1,587
3 7/8″ – 6 UNR
3,8750
98,425
94,500
6
4,233
3 7/8″ – 8 UNR
3,8750
98,425
95,400
8
3,175
3 7/8″ – 12 UNR
3,8750
98,425
96,400
12
2,117
3 7/8″ – 16 UNR
3,8750
98,425
96,900
16
1,587
4″ – 6 UNR
4,0000
101,600
97,600
6
4,233
4″ – 8 UNR
4,0000
101,600
98,600
8
3,175
4″ – 12 UNR
4,0000
101,600
99,600
12
2,117
4″ – 16 UNR
4,0000
101,600
100,100
16
1,587
4 1/8″ – 6 UNR
4,1250
104,775
100,750
6
4,233
4 1/8″ – 12 UNR
4,1250
104,775
102,750
12
2,117
4 1/8″ – 16 UNR
4,1250
104,775
103,250
16
1,587
4 1/4″ – 4 UNR
4,2500
107,950
101,900
4
1,587
4 1/4″ – 6 UNR
4,2500
107,950
103,900
6
4,233
4 1/4″ – 12 UNR
4,2500
107,950
106,000
12
2,117
4 1/4″ – 16 UNR
4,2500
107,950
106,450
16
1,587
4 3/8″ – 6 UNR
4,3750
107,950
107,000
6
4,233
4 3/8″ – 12 UNR
4,3750
107,950
109,100
12
2,117
4 3/8″ – 16 UNR
4,3750
107,950
109,600
16
1,587
4 1/2″ – 4 UNR
4,5000
114,300
108,300
4
6,350
4 1/2″ – 6 UNR
4,5000
114,300
110,200
6
4,233
4 1/2″ – 12 UNR
4,5000
114,300
112,300
12
2,117
4 1/2″ – 16 UNR
4,5000
114,300
112,800
16
1,587
4 5/8″ – 6 UNR
4,6250
117,475
113,500
6
4,233
4 5/8″ – 12 UNR
4,6250
117,475
115,500
12
2,117
4 5/8″ – 16 UNR
4,6250
117,475
116,000
16
1,587
4 3/4″ – 4 UNR
4,7500
120,650
114,750
4
6,350
4 3/4″ – 6 UNR
4,7500
120,650
116,600
6
4,233
4 3/4″ – 12 UNR
4,7500
120,650
118,600
12
2,117
4 3/4″ – 16 UNR
4,7500
120,650
119,150
16
1,587
4 7/8″ – 6 UNR
4,8750
123,825
119,800
6
4,233
4 7/8″ – 12 UNR
4,8750
123,825
121,800
12
2,117
4 7/8″ – 16 UNR
4,8750
123,825
122,350
16
1,587
5″ – 4 UNR
6,0000
127,000
121,000
4
6,350
5″ – 6 UNR
5,0000
127,000
123,000
6
4,233
5″ – 12 UNR
5,0000
127,000
125,000
12
2,117
5″ – 16 UNR
5,0000
127,000
125,500
16
1,587
5 1/8″ – 12 UNR
5,1250
130,175
128,200
12
2,117
5 1/8″ – 16 UNR
5,1250
130,175
128,700
16
1,587
5 1/4″ – 4 UNR
5,1250
133,350
127,300
4
6,350
5 1/4″ – 12 UNR
5,2500
133,350
131,350
12
2,117
5 1/4″ – 16 UNR
5,2500
133,350
131,850
16
1,587
5 3/8″ – 12 UNR
5,3750
136,525
134,500
12
2,117
5 3/8″ – 16 UNR
5,3750
136,525
135,000
16
1,587
5 1/2″ – 4 UNR
5,5000
139,700
133,750
4
2,117
5 1/2″ – 12 UNR
5,5000
139,700
137,700
12
2,540
5 1/2″ – 16 UNR
5,5000
139,700
138,200
16
1,587
5 5/8″ – 12 UNR
5,6250
142,875
140,850
12
2,117
5 5/8″ – 16 UNR
5,6250
142,875
141,350
16
1,587
5 3/4″ – 4 UNR
5,7500
146,050
140,000
4
6,350
5 3/4″ – 12 UNR
5,7500
146,050
144,000
12
2,117
5 3/4″ – 16 UNR
5,7500
146,050
144,550
16
1,587
5 7/8″ – 12 UNR
5,8750
149,225
147,200
12
2,117
5 7/8″ – 16 UNR
5,8750
149,225
147,700
16
1,587
6″ – 4 UNR
6,0000
152,400
146,300
4
6,350
6″ – 12 UNR
6,0000
152,400
150,400
12
2,117
6″ – 16 UNR
6,0000
152,400
150,900
16
1,587