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Bolt Torque Calculator and Chart

Choose a bolt size, grade and thread condition and get the tightening torque, the clamp load it produces and the bolt's tensile stress area, in N·m, lbf·ft and lbf·in. The chart below lists common coarse sizes for SAE grade 2, 5 and 8 and metric 8.8, 10.9 and 12.9.

75% is the usual figure for a reusable joint; up to 90% for a controlled, critical joint.

Worked example

These are example values. Change any entry above and press Calculate to run your own numbers.

Bolt 1/2-13 UNC
Tensile stress area 0.1419 in² (91.55 mm²)
Proof load 12,061 lbf (53.65 kN)
Clamp load (preload) 9,046 lbf (40.24 kN)
Tightening torque 102.2 N·m = 75.38 lbf·ft (904.6 lbf·in) T = K × d × F with K = 0.2

The result is a calculated torque for the clamp load you chose, not a specification. The real clamp load for a given torque varies by 25% or more with friction (thread and under-head condition, plating, lubricant, reuse), so use the joint designer's or the manufacturer's torque where one is given, and a torque-angle or tension method for critical joints.

Proof strengths: SAE J429 for inch grades (grade 2 55 ksi, grade 5 85 ksi, grade 8 120 ksi) and ISO 898-1 for metric classes (8.8 580 MPa up to M16 and 600 MPa above, 10.9 830 MPa, 12.9 970 MPa). Stress area uses the standard thread formulas.

How it works

Tightening a bolt stretches it like a spring, and that tension is what clamps the joint. Torque is only an indirect way to get it. Most of the torque you apply is lost to friction under the head and in the threads, which is why the same torque can give very different clamp loads on dry, oiled and plated bolts. This calculator uses the standard short-form equation with a nut factor for the thread condition.

The formulas

  • Torque T = K × d × F (K nut factor, d nominal diameter, F clamp load)
  • Clamp load F = percent of proof load × proof strength × tensile stress area
  • Tensile stress area, inch threads: As = π ÷ 4 × (d − 0.9743 ÷ threads per inch)²
  • Tensile stress area, metric threads: As = π ÷ 4 × (d − 0.9382 × pitch)²
  • Nut factor K: about 0.20 for plain dry steel, 0.15 lightly oiled, 0.10 plated or well lubricated
  • Proof strength: SAE J429 grade 2 55 ksi, grade 5 85 ksi, grade 8 120 ksi; ISO 898-1 class 8.8 580 MPa (600 above M16), 10.9 830 MPa, 12.9 970 MPa

Reference tables

Torque chart: SAE bolts, lbf·ft (dry, 75% of proof load)
BoltGrade 2Grade 5Grade 8
1/4-20 UNC 5.47 8.45 11.9
5/16-18 UNC 11.3 17.4 24.6
3/8-16 UNC 20 30.9 43.6
7/16-14 UNC 32 49.4 69.8
1/2-13 UNC 48.8 75.4 106
5/8-11 UNC 97.1 150 212
3/4-10 UNC 172 267 376
1-8 UNC – 644 909
Torque chart: metric bolts, N·m (dry, 75% of proof load)
BoltClass 8.8Class 10.9Class 12.9
M5 x 0.8 6.17 8.83 10.3
M6 x 1.0 10.5 15 17.6
M8 x 1.25 25.5 36.5 42.6
M10 x 1.5 50.5 72.2 84.4
M12 x 1.75 88 126 147
M14 x 2.0 141 201 235
M16 x 2.0 218 312 365
M20 x 2.5 441 610 712
M24 x 3.0 761 1,053 1,231

Calculated with K = 0.20 for plain dry steel; lightly oiled threads (K = 0.15) need about 25% less, and plated or well-lubricated ones (K = 0.10) about half. These are calculated values for carbon and alloy steel bolts, not a specification: friction varies, so use the joint designer’s torque where one is given.

Frequently asked questions

What is the torque for a 1/2-13 grade 5 bolt?

About 75 lbf·ft (102 N·m) for a plain dry bolt at 75% of proof load. A grade 8 bolt of the same size, with its higher proof strength, comes to about 106 lbf·ft. Lightly oiled threads need about 25% less torque for the same clamp load, 56.5 lbf·ft for the grade 5.

What is the torque for an M10 8.8 bolt?

About 50 N·m (37 lbf·ft) for a plain dry bolt at 75% of proof load. A class 10.9 bolt of the same size comes to about 72 N·m. An M12 class 8.8 is about 88 N·m.

Should I lubricate a bolt before tightening?

Lubrication lowers the friction, so a given torque produces more clamp load. If a torque value was set for dry threads and you oil the bolt without lowering the torque, you can stretch it past its proof load. Use the torque for the condition the joint is actually in, and use the thread condition setting here to see the difference.

Why are the torque values different from other charts?

Torque charts depend on the nut factor, the clamp load percentage and the thread area they assume, and none of these is fixed by a standard. This page states its assumptions: the factor you select, 75% of proof load by default, and the standard stress area. Charts built for 60% or 90%, or for a different friction, will show other numbers.

What does proof load mean?

Proof load is the tension a bolt can carry without any permanent stretch. It is the stress area multiplied by the proof strength of the grade. Reusable joints are normally tightened to about 75% of it, and critical joints up to about 90%.

Can I use this for stainless steel, flanges, gaskets or aluminium?

No. This is for carbon and alloy steel bolts of the SAE and ISO grades listed. Stainless steel, soft materials, gasketed joints and flange bolting have their own limits and friction values, so use the joint designer's or the manufacturer's torque for them.

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