Stud-Bolts

SPECIAL COATINGS

We also can furnish a wide range of special coatings to prevent corrosion. Whether it’s cadium, zinc plating, Teflon and Xylan flurocarbon or other coatings, all protect our products from conditions and environments that uncoated bolts can’t withstand.

RECOMMENDED WORKING TEMPERATURES OF BOLT MATERIALS

Chart 1A TEMPERATURE ºC (ºF)
MIN. MAX.
CARBON STEEL

-29 (-20)

300 (572)
B7, L7

-73 (-100)

400 (752)
B6 0 (32) 500 (932)
B8 -200 (-325) 575 (1067)
B16 0 (32) 520 (968)
INC 718 (32) 750 (1382)
660 -29 (20) 538 (1000)

STUDS AND NUTS

All Quest Gasket STUD BOLTS ARE QUENCHED AND TEMPERED

ASTM A - 320

"Standard Specification for Alloy-Steel and Stainless Steel Bolting Materials for Low - Temperature Service".

Chart 1A

Identification AISI TYPE Outstanding Chemical
Ferritic
L-7*

4140-4142-4145

Chromium-Molybdenum
L-7M*

4140-4142-4145

Chromium-Molybdenum
L-7A 4037 Carbon-Molybdenum
L-7B 4137 Chromium-Molybdenum
L-7C 8740 Nickel-Chromium-Molybdenum
L-43 4340 Nickel-Chromium-Molybdenum
660 -29 (20) 538 (1000)
Austenitic
B-8*, B8A 304 Unstabilized 18 Chromium-8 Nickel
B-8C, B8CA 347 Stabilized 18 Chromium-8 Nickel
B-8M*, B8MA 316 18 Chromium-10-Nickel-2 Molybdenum
B-8T, B8TA 321 Stabilized 18 Chromium Nickel
B-8F, B8FA 303 Free Machining 18 Chromium-8 Nickel

* Ferritic Steel Grades L7 and L7M together with Austenitic Grades B8 and B8M are normally stocked for immediate shipment, with the other Grades available on special order. Grade L7 is normally used to -50° F without Charpy Test and to -150° F with a Charpy Test. Grade L7M is normally used in H2S service with a required Charpy Test at -100° F. All of the Austenitic steels listed above may be used to -325° F without a Charpy Impact Test and at lower temperatures with the requisite tests.

Chart 1B

Identification AISI TYPE Outstanding Chemical
Ferritic
2-HM**

Carbon

2-H**

Carbon
4 Carbon-Molybdenum
3 501 5% Chromium
6 410 12% Chromium
6-F 416 12% Chromium
7** 4140-4142-4145 Chromium-Molybdenum
Austenitic
8** 304 18 Chromium - 8 Nickel
8-C 347 18 Chromium - 8 Nickel
8-M** 316

18 Chromium - 10 Nickel -2

Molybdenum
8-T 321 18 Chromium - 8 Nickel
8-F 303 18 Chromium - 8 Nickel
8-P 305 18 Chromium - 10 Nickel

** Quest Gasket stocks the Ferritic steel nuts in Grades 2H, 2HM, 7, L7 and L7M which are normally used in conjunction with Grade B7, B7M, B16, L7, and L7M studs. The Austenitic steel nuts, Grade 8 and 8M are also available from stock for use on stainless steel studs and bolts. Quest Gasket stocks heavy pattern hex nuts in the grades listed above to the dimensional requirements of ANSI B18.22.1. Unless otherwise specified these nuts are tapped UNC-2B in sizes 1" and under, and 8UN-2B over 1" diameter. All other grades of nuts listed may require special order.

Number And Size of Bolts For Flanged Joints - ASME B16.5

Primary Service Pressure Rating Bolting Flange Facing NOMINAL PIPE SIZE
1/2 3/4 1 1¼ 1½ 2 2½ 3 3½ 4 5 6 8 10 12 14 16 18 20 24
Class 150 Number 4 4 4 4 4 4 4 4 8 8 8 8 8 12 12 12 16 16 20 20
Diameter ½ ½ ½ ½ ½ 5/8 5/8 5/8 5/8 5/8 ¾ ¾ ¾ 7/8 7/8 1 1 1⅛ 1⅛ 1¼
Length of Stud Bolts 1/16" RF 2¼ 2½ 2½ 2¾ 2¾ 3¼ 3½ 3½ 3½ 3½ 3¾ 4 4¼ 4½ 4¾ 5 1/4 5 1/4 5¾ 6¼ 6¾
RTJ 3 3¼ 3¼ 3¾ 4 4 4 4 4¼ 4½ 4¾ 5 5¼ 5¾ 5¾ 6¼ 6¾ 7¼
Lth Mach Bolts 1/16" RF 2 2 2¼ 2¼ 2½ 2¾ 3 3 3 3 3¼ 3¼ 3½ 4 4 4½ 4½ 5 5½ 6
Ring No. R15 R17 R19 R22 R25 R29 R33 R36 R40 R43 R48 R52 R56 R59 R64 R68 R72 R76
Class 300 Number 4 4 4 4 4 8 8 8 8 8 8 12 12 16 16 20 20 24 24 24
Diameter ½ 5/8 5/8 5/8 ¾ 5/8 ¾ ¾ ¾ ¾ ¾ ¾ 7/8 1 1⅛ 1⅛ 1¼ 1¼ 1¼ 1½
Length of Stud Bolts 1/16" RF 2½ 3 3 3¼ 3½ 3½ 4 4¼ 4¼ 4½ 4 3/4 4¾ 5½ 6¼ 6¾ 7 7½ 7¾ 8 9
RTJ 3 3½ 3½ 3¾ 4 4 4 1/2 4¾ 5 5 5¼ 5½ 6 6¾ 7¼ 7½ 8 8¼ 8¾ 10
Lth Mach Bolts 1/16" RF 2¼ 2½ 2½ 2¾ 3 3 3¼ 3½ 3¾ 3¾ 4¼ 4¼ 4¾ 5½ 5¾ 6¼ 6½ 6¾ 7¼ 8
Ring No. R11 R15 R16 R18 R20 R23 R26 R31 R34 R37 R41 R45 R49 R53 R57 R61 R65 R69 R73 R77
Class 400 Number 4 4 4 4 4 8 8 8 8 8 8 12 12 16 16 20 20 24 24 24
Diameter ½ 5/8 5/8 5/8 ¾ 5/8 ¾ ¾ 7/8 7/8 7/8 7/8 1 1⅛ 1¼ 1¼ 1⅜ 1⅜ 1½ 1¾
Length of Stud Bolts ¼" RF 3 3½ 3½ 3¾ 4¼ 4¼ 4¾ 5 5½ 5½ 5¾ 6 6¾ 7½ 8 8¼ 8¾ 9 9½ 10½
M and F/T and G 2¾ 3¼ 3¼ 3½ 4 4 4½ 4¾ 5¼ 5¼ 5¼ 5¾ 6½ 7¼ 7¾ 8 8½ 8¾ 9¼ 10¼
RTJ 3 3½ 3½ 3¾ 4¼ 4¼ 4¾ 5 5½ 5½ 5¾ 6 6¾ 7½ 8 8¼ 8¾ 9 9¾ 11
Ring No. R11 R13 R16 R18 R20 R23 R26 R31 R34 R37 R41 R45 R49 R53 R57 R61 R65 R69 R73 R77
Class 600 Number 4 4 4 4 4 8 8 8 8 8 8 12 12 16 20 20 20 20 24 24
Diameter ½ 5/8 5/8 5/8 ¾ 5/8 ¾ ¾ 7/8 7/8 1 1 1⅛ 1¼ 1¼ 1⅜ 1½ 1 5/8 1 5/8 1 7/8
Length of Stud Bolts ¼" RF 3 3½ 3½ 3¾ 4¼ 4¼ 4¾ 5 5½ 5¾ 6½ 6¾ 7½ 8½ 8¾ 9¼ 10 10¾ 11¼ 13
M and F / T and G 2¾ 3¼ 3¼ 3½ 4 4 4½ 4¾ 5¼ 5½ 6¼ 6½ 7¼ 8¼ 8½ 9 9¾ 10½ 11 12¾
RTJ 3 3½ 3½ 3¾ 4¼ 4¼ 4¾ 5 5½ 5¾ 6½ 6¾ 7¾ 8½ 8¾ 9¼ 10 10¾ 11½ 13¼
Ring No. R11 R13 R16 R18 R20 R23 R26 R31 R34 R37 R41 R45 R49 R53 R57 R61 R65 R69 R73 R77
Class 900 Number 4 4 4 4 4 8 8 8 8 8 12 12 16 20 20 20 20 20 20
Diameter ¾ ¾ 7/8 7/8 1 7/8 1 7/8 1⅛ 1¼ 1⅛ 1⅜ 1⅜ 1⅜ 1½ 1 5/8 1 7/8 2 2½
Length of Stud Bolts ¼" RF 4¼ 4½ 5 5 5½ 5¾ 6¼ 5¾ 6¾ 7½ 7½ 8¾ 9¼ 10 10¾ 11¼ 12¾ 13¾ 17¼
M and F / T and G 4 4¼ 4¾ 4¾ 5¼ 5½ 6 5½ 6½ 7¼ 7¼ 8½ 9 9¾ 10½ 11 12½ 13½ 17
RTJ 4¼ 4½ 5 5 5½ 5¾ 6¼ 5¾ 6¾ 7½ 7¾ 8¾ 9¼ 10 11 11½ 13¼ 14¼ 18
Ring No. R12 R14 R16 R18 R20 R24 R27 R31 R37 R41 R45 R49 R53 R57 R62 R66 R70 R74 R78
Class 1500 Number 4 4 4 4 4 8 8 8 8 8 12 12 12 16 16 16 16 16 16
Diameter ¾ ¾ 7/8 7/8 1 7/8 1 1⅛ 1¼ 1½ 1⅜ 1⅝ 1⅞ 2 2¼ 2½ 2¾ 3 3½
Length of Stud Bolts ¼" RF 4¼ 4½ 5 5 5½ 5¾ 6¼ 7 7¾ 9¾ 10¼ 11½ 13¼ 14¾ 16 17½ 19½ 21¼ 24¼
M and F / T and G 4 4¼ 4¾ 4¾ 5¼ 5½ 6 6¾ 7½ 9½ 10 11¼ 13 14½ 15¾ 17¼ 19¼ 21 24
RTJ 4¼ 4½ 5 5 5½ 5¾ 6¼ 7 7¾ 9¾ 10½ 12¾ 13½ 15¼ 16¾ 18½ 20¾ 22¼ 25½
Ring No. R12 R14 R16 R18 R20 R24 R27 R35 R39 R44 R46 R50 R54 R58 R63 R67 R71 R75 R79
Class 2500 Number 4 4 4 4 4 8 8 8 8 8 8 12 12 12
Diameter ¾ ¾ 7/8 1 1⅛ 1 1⅛ 1¼ 1½ 1¾ 2 2 2½ 2¾
Length of Stud Bolts ¼" RF 4¾ 5 5½ 6 6¾ 7 7¾ 8¾ 10 11¾ 13½ 15 19¼ 21¼
M and F / T and G 4½ 4¾ 5¼ 5¾ 6½ 6¾ 7½ 8½ 9¾ 11½ 13¼ 14¾ 19 21
RTJ 4¾ 5 5½ 6 6¾ 7 8 9 10¼ 12¼ 14 15½ 20 22
Ring No. R13 R16 R18 R21 R23 R26 R28 R32 R38 R42 R47 R51 R55 R60

Stud-Bolt lengths do not include the height of the points. Lengths of studs and bolts, when used with lap joints flanges, are dependent upon the thickness of the lap of the stud end.

Number And Size of Bolts For Flanged Joints - ASME B16.5

DESIGN STRESS VALUES (ksi) vs TEMPERATURE

SPEC GRADE TEMPERATURE deg F (deg C)
650

700

750

800

850

900

950

1000

1050

1100
(343)

(371)

(399)

(427)

(454)

(482)

(510)

(538)

(566)

(593)
ASTM A193 B6 21.2 21.2 21.2 19.5 15.6 12.0
ASTM A193 B7 (*) 25.0 25.0 23.6 21.0 17.0 12.5 8.5 8.5
ASTM A193 B7M (*) 20.0 20.0 20.0 18.5 16.2 12.5 8.5 4.5
ASTM A193 B8-CL1 11.2 11.0 10.8 10.5 10.3 10.1 9.9
ASTM A193 B8-CL2(**) 25.0
ASTM A193 B16 25.0 25.0 25.0 25.0 23.5 20.5 16.0 11.0 6.3 2.8
ASTM A320 L7 25.0 25.0
ASTM A453 660 20.2 20.1 20.0 19.9 19.9 19.9 19.8 19.8

(*) FOR BOLT DIAMETERS ≤ 2.1/2" Please note that the above values are for reference purposes only. Values should be extracted from ASME or BS 5500.

(**) FOR BOLT DIAMETERS less than 3/4"

YIELD STRENGTH (ksi) vs TEMPERATURE

SPEC GRADE TEMPERATURE deg F (deg C)
70

400

600

800

1000

1200

1400
(20)

(204)

(316)

(427)

(538)

(649)

(760)
ASTM A193 B6 85 76 72
ASTM A193 B7 75-105 65-92 60-85 53-74
ASTM A193 B8-CL1 30 21 18 17
ASTM A193 B8-CL2 65-100
ASTM A193 B16 85-105
ASTM A320 L7,L7A 105
ASTM A453 660 85
BS 4882 NIMONIC B80A 90 73
Inconel 718 260 138

TORQUE REQUIRED TO PRODUCE BOLT STRESS

(Load in pounds on stud bolt when torque loads are applied)

Nominal Diameter of Bolt (Inches) Number of Threads (per Inch) Diameter At Root Of Thread (Inches) Area At Root Of Thread Sq. Inch
STRESS
30,000psi 45,000psi 60,000psi
Torque Ft/Lbs Compression Lbs Torque Ft/Lbs Compression Lbs Torque Ft/Lbs Compression Lbs
1/4 20 .185 .027 4 810 6 1215 8 1620
5/16 18 .240 .045 8 1350 12 2025 16 2700
3/8 16 .294 .068 12 2040 18 3060 24 4080
7/16 14 .345 .093 20 2790 30 4185 40 5580
1/2 13 .400 .126 30 3780 45 5670 60 7560
9/16 12 .454 .162 45 4860 68 7290 90 9720
5/8 11 .507 .202 60 6060 90 9090 120 12120
3/4 10 .620 .302 100 9060 150 13590 200 18120
7/8 9 .731 .419 160 12570 240 18855 320 25140
1 8 .838 .551 245 16530 368 24795 490 33060
1 1/8 8 .963 .728 355 21840 533 32760 710 43680
1 1/4 8 1.088 .929 500 27870 750 41805 1000 55740
1 3/8 8 1.213 1.155 680 34650 1020 51975 1360 69300
1 1/2 8 1.338 1.405 800 42150 1200 63225 1600 84300
1 5/8 8 1.463 1.680 1100 50400 1650 75600 2200 100800
1 3/4 8 1.588 1.980 1500 59400 2250 89100 3000 118800
1 7/8 8 1.713 2.304 2000 69120 3000 103680 4000 138240
2 8 1.838 2.652 2200 79560 3300 119340 4400 159120
2 1/4 8 2.088 3.423 3180 102690 4770 154035 6360 205380
2 1/2 8 2.338 4.292 4400 128760 6600 193140 8800 257520
2 3/4 8 2.588 5.259 5920 157770 8880 236655 11840 315540
3 8 2.838 6.324 7720 189720 11580 284580 15440 379440

The table above reflects the results of many tests to determine the relation between torque and bolt stress. Values are based on steel bolting well lubricated with a heavy graphite and oil mixture.

Box Quantity

Standard Package Quantities

Studs With Nuts
1/2" 5/8" 3/4" 7/8" 1" 1 1/8" 1 1/4" 1 3/8"
1
1 1/4
1 1/2 150
1 3/4 125
2 225 125
2 1/4 225 125
2 1/2 200 125
2 3/4 200 100
3 175 100 50 50
3 1/4 175 100 50 50
3 1/2 175 100 50 25
3 3/4 175 100 50 25
4 150 100 50 25 25
4 1/4 150 75 50 25 25
4 1/2 125 75 50 25 25
4 3/4 125 75 50 25 25 15
5 125 50 50 25 25 15
5 1/4 125 50 50 25 25 15
5 1/2 125 50 50 25 25 15
5 3/4 125 50 25 25 25 15
6 125 50 25 25 25 15 10
6 1/4 100 50 25 25 25 15 10
6 1/2 100 50 25 25 25 15 10
6 3/4 100 50 25 25 20 15 10 10
7 50 25 25 20 15 10 10
7 1/4 50 25 25 20 15 10 10
7 1/2 50 25 25 20 15 10 10
7 3/4 50 25 25 20 15 10 10
8 50 25 25 20 15 10 10
8 1/4 50 25 25 20 15 10 5
8 1/2 50 25 25 20 15 10 5
8 3/4 25 25 25 20 15 10 5
9 25 25 25 20 15 10 5
9 1/4 25 25 25 15 15 10 5
9 1/2 25 25 25 15 10 10 5
9 3/4 25 25 15 15 10 10 5
10 25 25 15 15 10 10 5
10 1/4 25 25 15 10 10 10 5
10 1/2 25 25 15 10 5 10 5
10 3/4 25 15 15 5 10 5
11 25 15 for 11 above 10 5 5 5
11 1/4 10 5 5
11 1/2 10 5
11 3/4 10 5 5
12 8 for 12 above 5 5
12 1/4 5
12 1/2 5

Bolt Weights Without Nuts

Weight for each Boltless Nut
Diameter 0.25 0.3125 0.375 0.4375 0.5 0.5625 0.625 0.75 0.875 1 1.125 1.25 1.375 1.5 1.625 1.75 1.875 2 2.25 2.5
1.00 0.010 0.016 0.025 0.033 0.044 0.056 0.070 0.103 0.142 0.185 0.240 0.300 0.367 0.442 0.525 0.610 0.705 0.810 1.037 1.294
1.25 0.013 0.020 0.031 0.041 0.055 0.070 0.088 0.129 0.177 0.231 0.300 0.375 0.458 0.552 0.656 0.763 0.882 1.012 1.296 1.617
1.50 0.016 0.024 0.037 0.049 0.066 0.084 0.105 0.154 0.213 0.277 0.359 0.450 0.550 0.663 0.788 0.916 1.058 1.214 1.555 1.940
1.75 0.018 0.028 0.043 0.058 0.076 0.098 0.123 0.180 0.248 0.323 0.419 0.525 0.642 0.773 0.919 1.068 1.234 1.417 1.814 2.264
2.00 0.021 0.032 0.049 0.066 0.087 0.112 0.140 0.206 0.283 0.369 0.479 0.600 0.733 0.883 1.050 1.221 1.411 1.619 2.073 2.587
2.25 0.023 0.036 0.055 0.074 0.098 0.126 0.158 0.232 0.319 0.415 0.539 0.675 0.825 0.994 1.181 1.373 1.587 1.822 2.333 2.911
2.50 0.026 0.041 0.061 0.082 0.109 0.141 0.175 0.257 0.354 0.462 0.599 0.750 0.917 1.104 1.313 1.526 1.764 2.024 2.592 3.234
2.75 0.029 0.045 0.067 0.090 0.120 0.155 0.193 0.283 0.390 0.508 0.659 0.825 1.008 1.215 1.444 1.679 1.940 2.226 2.851 3.557
3.00 0.031 0.049 0.074 0.099 0.131 0.169 0.210 0.309 0.425 0.554 0.719 0.900 1.100 1.325 1.575 1.831 2.116 2.429 3.110 3.881
3.25 0.034 0.053 0.080 0.107 0.142 0.183 0.228 0.334 0.461 0.600 0.779 0.975 1.192 1.436 1.706 1.984 2.293 2.631 3.369 4.204
3.50 0.036 0.057 0.086 0.115 0.153 0.197 0.245 0.360 0.496 0.646 0.839 1.050 1.283 1.546 1.838 2.136 2.469 2.834 3.628 4.528
3.75 0.039 0.061 0.092 0.123 0.164 0.211 0.263 0.386 0.531 0.692 0.899 1.125 1.375 1.656 1.969 2.289 2.645 3.036 3.888 4.851
4.00 0.042 0.065 0.098 0.132 0.175 0.225 0.280 0.412 0.567 0.738 0.958 1.200 1.467 1.767 2.100 2.442 2.822 3.238 4.147 5.174
4.25 0.044 0.069 0.104 0.140 0.186 0.239 0.298 0.437 0.602 0.785 1.018 1.275 1.558 1.877 2.231 2.594 2.998 3.441 4.406 5.498
4.50 0.047 0.073 0.110 0.148 0.197 0.253 0.315> 0.463 0.638 0.831 1.078 1.350 1.650 1.988 2.363 2.747 3.174 3.643 4.665 5.821
4.75 0.049 0.077 0.116 0.156 0.208 0.267 0.333 0.489 0.673 0.877 1.138 1.425 1.742 2.098 2.494 2.899 3.351 3.846 4.924 6.145
5.00 0.052 0.081 0.123 0.165 0.219 0.281 0.350 0.515 0.709 0.923 1.198 1.500 1.834 2.209 2.625 3.052 3.527 4.048 5.184 6.468
5.25 0.055 0.085 0.129 0.173 0.229 0.295 0.368 0.540 0.744 0.969 1.258 1.575 1.925 2.319 2.756 3.205 3.703 4.250 5.443 6.791
5.50 0.057 0.089 0.135 0.181 0.240 0.309 0.385 0.566 0.779 1.015 1.318 1.650 2.017 2.429 2.888 3.357 3.880 4.453 5.702 7.115
5.75 0.060 0.093 0.141 0.189 0.251 0.323 0.403 0.592 0.815 1.061 1.378 1.725 2.109 2.540 3.019 3.510 4.056 4.655 5.961 7.438
6.00 0.062 0.097 0.147 0.197 0.262 0.337 0.420 0.617 0.850 1.108 1.438 1.800 2.200 2.650 3.150 3.662 4.232 4.858 6.220 7.762
6.25 0.065 0.101 0.153 0.206 0.273 0.351 0.438 0.643 0.886 1.154 1.498 1.875 2.292 2.761 3.281 3.815 4.409 5.060 6.479 8.085
6.50 0.068 0.105 0.159 0.214 0.284 0.365 0.455 0.669 0.921 1.200 1.557 1.950 2.384 2.871 3.413 3.968 4.585 5.262 6.739 8.408
6.75 0.070 0.109 0.165 0.222 0.295 0.379 0.473 0.695 0.956 1.246 1.617 2.025 2.475 2.981 3.544 4.120 4.761 5.465 6.998 8.732
7.00 0.073 0.113 0.172 0.230 0.306 0.393 0.490 0.720 0.992 1.292 1.677 2.100 2.567 3.092 3.675 4.273 4.938 5.667 7.257 9.055
7.25 0.075 0.117 0.178 0.239 0.317 0.407 0.508 0.746 1.027 1.338 1.737 2.175 2.659 3.202 3.806 4.425 5.114 5.870 7.516 9.379
7.50 0.078 0.122 0.184 0.247 0.328 0.422 0.525 0.772 1.063 1.385 1.797 2.250 2.750 3.313 3.938 4.578 5.291 6.072 7.775 9.702
7.75 0.081 0.126 0.190 0.255 0.339 0.436 0.543 0.797 1.098 1.431 1.857 2.325 2.842 3.423 4.069 4.731 5.467 6.274 8.034 10.025
8.00 0.083 0.130 0.196 0.263 0.350 0.450 0.560 0.823 1.134 1.477 1.917 2.400 2.934 3.534 4.200 4.883 5.643 6.477 8.294 10.349
8.25 0.086 0.134 0.202 0.271 0.361 0.464 0.578 0.849 1.169 1.523 1.977 2.475 3.025 3.644 4.331 5.036 5.820 6.679 8.553 10.672
8.50 0.088 0.138 0.208 0.280 0.371 0.478 0.595 0.875 1.204 1.569 2.037 2.550 3.117 3.754 4.463 5.188 5.996 6.882 8.812 10.996
8.75 0.091 0.142 0.214 0.288 0.382 0.492 0.613 0.900 1.240 1.615 2.097 2.625 3.209 3.865 4.594 5.341 6.172 7.084 9.071 11.319
9.00 0.094 0.146 0.221 0.296 0.393 0.506 0.630 0.926 1.275 1.661 2.156 2.700 3.300 3.975 4.725 5.494 6.349 7.286 9.330 11.642
9.25 0.096 0.150 0.227 0.304 0.404 0.520 0.648 0.952 1.311 1.708 2.216 2.775 3.392 4.086 4.856 5.646 6.525 7.489 9.589 11.966
9.50 0.099 0.154 0.233 0.313 0.415 0.534 0.665 0.978 1.346 1.754 2.276 2.850 3.484 4.196 4.988 5.799 6.701 7.691 9.849 12.289
9.75 0.101 0.158 0.239 0.321 0.426 0.548 0.683 1.003 1.382 1.800 2.336 2.925 3.575 4.307 5.119 5.951 6.878 7.894 10.108 12.613
10.00 0.104 0.162 0.245 0.329 0.437 0.562 0.700 1.029 1.417 1.846 2.396 3.000 3.667 4.417 5.250 6.104 7.054 8.096 10.367 12.936
10.25 0.107 0.166 0.251 0.337 0.448 0.576 0.718 1.055 1.452 1.892 2.456 3.075 3.759 4.527 5.381 6.257 7.230 8.298 10.626 13.259
10.50 0.109 0.170 0.257 0.345 0.459 0.590 0.735 1.080 1.488 1.938 2.516 3.150 3.850 4.638 5.513 6.409 7.407 8.501 10.885 13.583
10.75 0.112 0.174 0.263 0.354 0.470 0.604 0.753 1.106 1.523 1.984 2.576 3.225 3.942 4.748 5.644 6.562 7.583 8.703 11.145 13.906
11.00 0.114 0.178 0.270 0.362 0.481 0.618 0.770 1.132 1.559 2.031 2.636 3.300 4.034 4.859 5.775 6.714 7.759 8.906 11.404 14.230
11.25 0.117 0.182 0.276 0.370 0.492 0.632 0.788 1.158 1.594 2.077 2.696 3.375 4.125 4.969 5.906 6.867 7.936 9.108 11.663 14.553
11.50 0.120 0.186 0.282 0.378 0.503 0.646 0.805 1.183 1.630 2.123 2.755 3.450 4.217 5.080 6.038 7.020 8.112 9.310 11.922 14.876
11.75 0.122 0.190 0.288 0.387 0.513 0.660 0.823 1.209 1.665 2.169 2.815 3.525 4.309 5.190 6.169 7.172 8.288 9.513 12.181 15.200
12.00 0.125 0.194 0.294 0.395 0.524 0.674 0.840 1.235 1.700 2.215 2.875 3.600 4.400 5.300 6.300 7.325 8.465 9.715 12.440 15.523
12.25 0.127 0.198 0.300 0.403 0.535 0.688 0.858 1.261 1.736 2.261 2.935 3.675 4.492 5.411 6.431 7.477 8.641 9.918 12.700 15.847
12.50 0.130 0.203 0.306 0.411 0.546 0.703 0.875 1.286 1.771 2.308 2.995 3.750 4.584 5.521 6.563 7.630 8.818 10.120 12.959 16.170
12.75 0.133 0.207 0.312 0.419 0.557 0.717 0.893 1.312 1.807 2.354 3.055 3.825 4.675 5.632 6.694 7.783 8.994 10.322 13.218 16.493
13.00 0.135 0.211 0.319 0.428 0.568 0.731 0.910 1.338 1.842 2.400 3.115 3.900 4.767 5.742 6.825 7.935 9.170 10.525 13.477 16.817
13.25 0.138 0.215 0.325 0.436 0.579 0.745 0.928 1.363 1.878 2.446 3.175 3.975 4.859 5.853 6.956 8.088 9.347 10.727 13.736 17.140
13.50 0.140 0.219 0.331 0.444 0.590 0.759 0.945 1.389 1.913 2.492 3.235 4.050 4.950 5.963 7.088 8.240 9.523 10.930 13.995 17.464
13.75 0.143 0.223 0.337 0.452 0.601 0.773 0.963 1.415 1.948 2.538 3.295 4.125 5.042 6.073 7.219 8.393 9.699 11.132 14.255 17.787
14.00 0.146 0.227 0.343 0.461 0.612 0.787 0.980 1.441 1.984 2.584 3.354 4.200 5.134 6.184 7.350 8.546 9.876 11.334 14.514 18.110
14.25 0.148 0.231 0.349 0.469 0.623 0.801 0.998 1.466 2.019 2.631 3.414 4.275 5.225 6.294 7.481 8.698 10.052 11.537 14.773 18.434
14.50 0.151 0.235 0.355 0.477 0.634 0.815 1.015 1.492 2.055 2.677 3.474 4.350 5.317 6.405 7.613 8.851 10.228 11.739 15.032 18.757
14.75 0.153 0.239 0.361 0.485 0.645 0.829 1.033 1.518 2.090 2.723 3.534 4.425 5.409 6.515 7.744 9.003 10.405 11.942 15.291 19.081
15.00 0.156 0.243 0.368 0.494 0.656 0.843 1.050 1.544 2.126 2.769 3.594 4.500 5.501 6.626 7.875 9.156 10.581 12.144 15.551 19.404
15.25 0.159 0.247 0.374 0.502 0.666 0.857 1.068 1.569 2.161 2.815 3.654 4.575 5.592 6.736 8.006 9.309 10.757 12.346 15.810 19.727
15.50 0.161 0.251 0.380 0.510 0.677 0.871 1.085 1.595 2.196 2.861 3.714 4.650 5.684 6.846 8.138 9.461 10.934 12.549 16.069 20.051
15.75 0.164 0.255 0.386 0.518 0.688 0.885 1.103 1.621 2.232 2.907 3.774 4.725 5.776 6.957 8.269 9.614 11.110 12.751 16.328 20.374
16.00 0.166 0.259 0.392 0.526 0.699 0.899 1.120 1.646 2.267 2.954 3.834 4.800 5.867 7.067 8.400 9.766 11.286 12.954 16.587 20.698
16.25 0.169 0.263 0.398 0.535 0.710 0.913 1.138 1.672 2.303 3.000 3.894 4.875 5.959 7.178 8.531 9.919 11.463 13.156 16.846 21.021
16.50 0.172 0.267 0.404 0.543 0.721 0.927 1.155 1.698 2.338 3.046 3.953 4.950 6.051 7.288 8.663 10.072 11.639 13.358 17.106 21.344
16.75 0.174 0.271 0.410 0.551 0.732 0.941 1.173 1.724 2.373 3.092 4.013 5.025 6.142 7.398 8.794 10.224 11.815 13.561 17.365 21.668
17.00 0.177 0.275 0.417 0.559 0.743 0.955 1.190 1.749 2.409 3.138 4.073 5.100 6.234 7.509 8.925 10.377 11.992 13.763 17.624 21.991
17.25 0.179 0.279 0.423 0.568 0.754 0.969 1.208 1.775 2.444 3.184 4.133 5.175 6.326 7.619 9.056 10.529 12.168 13.966 17.883 22.315
17.50 0.182 0.284 0.429 0.576 0.765 0.984 1.225 1.801 2.480 3.231 4.193 5.250 6.417 7.730 9.188 10.682 12.345 14.168 18.142 22.638
17.75 0.185 0.288 0.435 0.584 0.776 0.998 1.243 1.826 2.515 3.277 4.253 5.325 6.509 7.840 9.319 10.835 12.521 14.370 18.401 22.961
18.00 0.187 0.292 0.441 0.592 0.787 1.012 1.260 1.852 2.551 3.323 4.313 5.400 6.601 7.951 9.450 10.987 12.697 14.573 18.661 23.285
18.25 0.190 0.296 0.447 0.600 0.798 1.026 1.278 1.878 2.586 3.369 4.373 5.475 6.692 8.061 9.581 11.140 12.874 14.775 18.920 23.608
18.50 0.192 0.300 0.453 0.609 0.808 1.040 1.295 1.904 2.621 3.415 4.433 5.550 6.784 8.171 9.713 11.292 13.050 14.978 19.179 23.932
18.75 0.195 0.304 0.459 0.617 0.819 1.054 1.313 1.929 2.657 3.461 4.493 5.625 6.876 8.282 9.844 11.445 13.226 15.180 19.438 24.255
19.00 0.198 0.308 0.466 0.625 0.830 1.068 1.330 1.955 2.692 3.507 4.552 5.700 6.967 8.392 9.975 11.598 13.403 15.382 19.697 24.578
19.25 0.200 0.312 0.472 0.633 0.841 1.082 1.348 1.981 2.728 3.554 4.612 5.775 7.059 8.503 10.106 11.750 13.579 15.585 19.956 24.902
19.50 0.203 0.316 0.478 0.642 0.852 1.096 1.365 2.007 2.763 3.600 4.672 5.850 7.151 8.613 10.238 11.903 13.755 15.787 20.216 25.225
19.75 0.205 0.320 0.484 0.650 0.863 1.110 1.383 2.032 2.799 3.646 4.732 5.925 7.242 8.724 10.369 12.055 13.932 15.990 20.475 25.549
20.00 0.208 0.324 0.490 0.658 0.874 1.124 1.400 2.058 2.834 3.692 4.792 6.000 7.334 8.834 10.500 12.208 14.108 16.192 20.734 25.872
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