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Bolt Torque worksheet

Grades 6–7 · CCSS 6.EE.A.2.c, 7.RP.A.3

Solve each problem and show your work. Round answers to 2 decimal places where needed.

  1. Problem 1.
    • Thread system: Metric
    • Bolt size: M5 × 0.8
    • Clamp load from: A clamp load I enter
    • Clamp load (bolt tension): 9,500 lbf
    • Nut factor (K): Enter K from the fastener or lubricant maker
    • Custom nut factor (K): 0.25
    • Show torque in: Pound-force inches (lbf·in)

    Find: Estimated tightening torque

  2. Problem 2.
    • Thread system: Inch (UNC/UNF)
    • Bolt size: 9/16-12 UNC
    • Clamp load from: A percentage of proof load
    • Bolt grade: SAE Grade 5 (85,000 psi proof to 1 in)
    • Target preload: 65% of proof load
    • Nut factor (K): 0.20: commonly assumed, dry steel
    • Show torque in: Newton meters (N·m)

    Find: Estimated tightening torque

  3. Problem 3.
    • Thread system: Inch (UNC/UNF)
    • Bolt size: 1/2-13 UNC
    • Clamp load from: A clamp load I enter
    • Clamp load (bolt tension): 7,500 lbf
    • Nut factor (K): 0.20: commonly assumed, dry steel
    • Show torque in: Newton meters (N·m)

    Find: Estimated tightening torque

  4. Problem 4.
    • Thread system: Inch (UNC/UNF)
    • Bolt size: 3/8-16 UNC
    • Clamp load from: A clamp load I enter
    • Clamp load (bolt tension): 9,000 lbf
    • Nut factor (K): 0.15: typical steel on steel, lightly oiled
    • Show torque in: Pound-force inches (lbf·in)

    Find: Estimated tightening torque

  5. Problem 5.
    • Thread system: Metric
    • Bolt size: M10 × 1.5
    • Clamp load from: A clamp load I enter
    • Clamp load (bolt tension): 7,000 lbf
    • Nut factor (K): 0.20: commonly assumed, dry steel
    • Show torque in: Kilonewton meters (kN·m)

    Find: Estimated tightening torque

  6. Problem 6.
    • Thread system: Metric
    • Bolt size: M8 × 1.25
    • Clamp load from: A percentage of proof load
    • Property class: 8.8 (580 MPa proof to M16, 600 MPa above)
    • Target preload: 60% of proof load
    • Nut factor (K): 0.15: typical steel on steel, lightly oiled
    • Show torque in: Pound-force inches (lbf·in)

    Find: Estimated tightening torque

  7. Problem 7.
    • Thread system: Metric
    • Bolt size: M16 × 1.5 (fine)
    • Clamp load from: A percentage of proof load
    • Property class: 10.9 (830 MPa proof)
    • Target preload: 75% of proof load
    • Nut factor (K): Enter K from the fastener or lubricant maker
    • Custom nut factor (K): 0.2
    • Show torque in: Pound-force inches (lbf·in)

    Find: Estimated tightening torque

  8. Problem 8.
    • Thread system: Metric
    • Bolt size: M24 × 3
    • Clamp load from: A clamp load I enter
    • Clamp load (bolt tension): 11,000 lbf
    • Nut factor (K): 0.20: commonly assumed, dry steel
    • Show torque in: Newton meters (N·m)

    Find: Estimated tightening torque

  9. Problem 9.
    • Thread system: Metric
    • Bolt size: M16 × 1.5 (fine)
    • Clamp load from: A percentage of proof load
    • Property class: 12.9 (970 MPa proof)
    • Target preload: 75% of proof load
    • Nut factor (K): Enter K from the fastener or lubricant maker
    • Custom nut factor (K): 0.1
    • Show torque in: Newton meters (N·m)

    Find: Estimated tightening torque

  10. Problem 10.
    • Thread system: Inch (UNC/UNF)
    • Bolt size: 5/16-18 UNC
    • Clamp load from: A percentage of proof load
    • Bolt grade: SAE Grade 5 (85,000 psi proof to 1 in)
    • Target preload: 65% of proof load
    • Nut factor (K): 0.15: typical steel on steel, lightly oiled
    • Show torque in: Pound-force feet (lbf·ft)

    Find: Estimated tightening torque

Answer key: Bolt Torque worksheet

  1. 1. Estimated tightening torque: 467.52 lbf·in

    1. Convert the clamp load to N

      9,500 lbf×4.4482216153=42,258.105345 N
    2. Find the tightening torque T: nut factor K × bolt diameter D × clamp load F

      0.25×5 mm×42,258.105345 N=52,822.631681 N·mm
    3. Convert to lbf·in

      52,822.631681 N·mm×0.0088507458=467.519685 lbf·in
  2. 2. Estimated tightening torque: 127.77 N·m

    1. Find the bolt's effective cross-section through the threads (tensile stress area) for 9/16-12 UNC. D is the diameter: (π/4) × (D − 0.9743 × pitch)²

      π4×(0.5625−0.9743×0.08333333)2=0.181944 in²
    2. Find the proof load, the most the bolt can hold without stretching for good: proof strength × stress area

      85,000 psi×0.181944 in²=15,465.201013 lbf
    3. Set the clamp load you're aiming for: 65% of the proof load

      15,465.201013 lbf×65%=10,052.380659 lbf
    4. Find the tightening torque T: nut factor K × bolt diameter D × clamp load F

      0.2×0.5625 in×10,052.380659 lbf=1,130.892824 lbf·in
    5. Convert to N·m

      1,130.892824 lbf·in×0.112984829=127.773732 N·m
  3. 3. Estimated tightening torque: 84.74 N·m

    1. Find the tightening torque T: nut factor K × bolt diameter D × clamp load F

      0.2×0.5 in×7,500 lbf=750 lbf·in
    2. Convert to N·m

      750 lbf·in×0.112984829=84.738622 N·m
  4. 4. Estimated tightening torque: 506.25 lbf·in

    1. Find the tightening torque T: nut factor K × bolt diameter D × clamp load F

      0.15×0.375 in×9,000 lbf=506.25 lbf·in
  5. 5. Estimated tightening torque: 0.06 kN·m

    1. Convert the clamp load to N

      7,000 lbf×4.4482216153=31,137.551307 N
    2. Find the tightening torque T: nut factor K × bolt diameter D × clamp load F

      0.2×10 mm×31,137.551307 N=62,275.102614 N·mm
    3. Convert to kN·m

      62,275.102614 N·mm×0.000001=0.062275 kN·m
  6. 6. Estimated tightening torque: 135.31 lbf·in

    1. Find the bolt's effective cross-section through the threads (tensile stress area) for M8 × 1.25. D is the diameter: (π/4) × (D − 0.9382 × pitch)²

      π4×(8−0.9382×1.25)2=36.608463 mm²
    2. Find the proof load, the most the bolt can hold without stretching for good: proof strength × stress area

      580 MPa×36.608463 mm²=21,232.908448 N
    3. Set the clamp load you're aiming for: 60% of the proof load

      21,232.908448 N×60%=12,739.745069 N
    4. Find the tightening torque T: nut factor K × bolt diameter D × clamp load F

      0.15×8 mm×12,739.745069 N=15,287.694083 N·mm
    5. Convert to lbf·in

      15,287.694083 N·mm×0.0088507458=135.307494 lbf·in
  7. 7. Estimated tightening torque: 2,948.7 lbf·in

    1. Find the bolt's effective cross-section through the threads (tensile stress area) for M16 × 1.5 (fine). D is the diameter: (π/4) × (D − 0.9382 × pitch)²

      π4×(16−0.9382×1.5)2=167.248099 mm²
    2. Find the proof load, the most the bolt can hold without stretching for good: proof strength × stress area

      830 MPa×167.248099 mm²=138,815.92208 N
    3. Set the clamp load you're aiming for: 75% of the proof load

      138,815.92208 N×75%=104,111.94156 N
    4. Find the tightening torque T: nut factor K × bolt diameter D × clamp load F

      0.2×16 mm×104,111.94156 N=333,158.212991 N·mm
    5. Convert to lbf·in

      333,158.212991 N·mm×0.0088507458=2,948.698651 lbf·in
  8. 8. Estimated tightening torque: 234.87 N·m

    1. Convert the clamp load to N

      11,000 lbf×4.4482216153=48,930.437768 N
    2. Find the tightening torque T: nut factor K × bolt diameter D × clamp load F

      0.2×24 mm×48,930.437768 N=234,866.101286 N·mm
    3. Convert to N·m

      234,866.101286 N·mm×0.001=234.866101 N·m
  9. 9. Estimated tightening torque: 194.68 N·m

    1. Find the bolt's effective cross-section through the threads (tensile stress area) for M16 × 1.5 (fine). D is the diameter: (π/4) × (D − 0.9382 × pitch)²

      π4×(16−0.9382×1.5)2=167.248099 mm²
    2. Find the proof load, the most the bolt can hold without stretching for good: proof strength × stress area

      970 MPa×167.248099 mm²=162,230.655924 N
    3. Set the clamp load you're aiming for: 75% of the proof load

      162,230.655924 N×75%=121,672.991943 N
    4. Find the tightening torque T: nut factor K × bolt diameter D × clamp load F

      0.1×16 mm×121,672.991943 N=194,676.787109 N·mm
    5. Convert to N·m

      194,676.787109 N·mm×0.001=194.676787 N·m
  10. 10. Estimated tightening torque: 11.32 lbf·ft

    1. Find the bolt's effective cross-section through the threads (tensile stress area) for 5/16-18 UNC. D is the diameter: (π/4) × (D − 0.9743 × pitch)²

      π4×(0.3125−0.9743×0.05555556)2=0.05243 in²
    2. Find the proof load, the most the bolt can hold without stretching for good: proof strength × stress area

      85,000 psi×0.05243 in²=4,456.567083 lbf
    3. Set the clamp load you're aiming for: 65% of the proof load

      4,456.567083 lbf×65%=2,896.768604 lbf
    4. Find the tightening torque T: nut factor K × bolt diameter D × clamp load F

      0.15×0.3125 in×2,896.768604 lbf=135.786028 lbf·in
    5. Convert to lbf·ft

      135.786028 lbf·in×0.0833333333=11.315502 lbf·ft