Bolt Torque & Fastener Stress Calculator

Calculate recommended tightening torque, clamp preload tension, and joint shear/tensile safety factors across standard fastener grades.
Fastener Analysis Results
Recommended Torque
0.0 ft-lbs
Torque (Metric)
0.0 N-m
Clamp Preload (F_i)
0 lbs
Tensile Stress Area (A_t)
0.0000 in²
Tensile Capacity (Yield)
0 lbs
Pure Shear Capacity (0.577 Sy)
0 lbs
Joint Tension Safety Factor
0.00
Joint Shear Safety Factor
0.00

Fastener Engineering Formulas & Mechanics

Bolted joints rely on proper bolt stretch (elastic strain) generated by tightening torque to produce clamp load, preventing joint separation and fatigue failure.

1. Standard Short-Form Torque Equation

T = (K * F_i * d) / 12

  • T = Tightening torque (ft-lbs)
  • K = Nut friction factor (dimensionless; approx. 0.20 dry, 0.15 lubed)
  • F_i = Bolt preload clamp tension (lbs)
  • d = Nominal bolt shank diameter (in)

2. Fastener Tensile Stress Area Formula

Tensile stress area accounts for the stress concentration across threaded roots:

A_t = 0.7854 * [ d - (0.9743 / n) ]²

  • n = Number of threads per inch (TPI)

3. Preload & Direct Shear Sizing

Target preload is generally set to 75% of fastener Proof Strength (S_p) to prevent yielding during tightening:

F_i = 0.75 * S_p * A_t

Ultimate pure shear capacity across the threaded shank is estimated via the von Mises yield criterion:

S_sy = 0.577 * S_y

4. Common SAE vs. Metric Fastener Comparison

Grade / Class Head Marking Proof Stress (S_p) Min Tensile Yield (S_y)
SAE Grade 2 No radial lines 55,000 PSI 57,000 PSI
SAE Grade 5 3 radial lines 85,000 PSI 92,000 PSI
SAE Grade 8 6 radial lines 120,000 PSI 130,000 PSI
Metric Class 8.8 "8.8" stamped 85,000 PSI (580 MPa) 94,000 PSI (640 MPa)
Metric Class 10.9 "10.9" stamped 120,000 PSI (830 MPa) 136,000 PSI (940 MPa)