BIZOMAT MAKEOS · Fasteners

Screw Clamp Force Check (Handle Torque, Clamping Force, Screw Stress)

For a screw clamp, vice or press screw turned by a handle, what clamping force does the handle effort produce, and is the screw stressed within limits?

Check of a hand-operated clamping screw: the torque from the handle effort and its radius, the clamping force that torque produces through the thread and the swivel pad or collar friction (the power screw torque relation solved for the load, as the power screw torque tool), the compressive stress at the screw root, and whether the screw stays put, against the clamping force you need and the allowable stress.

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How this tool works

Inputs, units and where to find them

InputUnitTypical source
Handle effortNForce applied at the end of the handle or tommy bar.
Handle radius (screw axis to hand)mmDistance from the screw axis to where the hand pushes.
Mean (pitch) diameter of threadmmMean diameter of the screw thread.
LeadmmLead of the screw (pitch × starts).
Thread formchoiceThread form.
Thread friction coefficientFriction in the thread (dry steel about 0.15–0.2, oiled about 0.1).
Mean pad (collar) diametermmMean diameter of the swivel pad or thrust collar where the screw bears.
Pad friction coefficientFriction at the pad or collar.
Duty
Screw root diametermmRoot (minor) diameter of the screw.
Allowable compressive stressMPaAllowable compressive stress in the screw.
Clamping force neededNClamping force the job needs.

What each input means

Open an input to see what it is, its units, the worked example and the common mistakes, with a small diagram.

What this means: Handle effort
Illustration: Handle effortA block with an arrow pushing on it; the arrow is the force Handle effort.F_hExample: 150 NHandle effort
What it is
The push or pull a person applies at the end of the clamp handle or tommy bar while tightening.
Units and format
Enter a number in N: newtons. The form accepts 0.000001 N to 100000 N. Required: the tool does not calculate until every input is valid.
Example
The form opens with 150 N as a worked example. It is an illustration, not a recommended value: replace it with your own figure.
Effect on the result
Clamping force rises in direct proportion to the handle effort.
Get it right
Use a force one operator can repeat comfortably, from your ergonomic guidance, not a one-off maximum.
What this means: Handle radius (screw axis to hand)
Illustration: Handle radius (screw axis to hand)A circle with a line from its centre to its edge, marking the radius Handle radius (screw axis to hand); the radius is half the diameter.r_hcentre to edge= half the diameterExample: 75 mmHandle radius (screw axis to hand)
What it is
The lever arm of the handle: the distance from the screw axis to where the hand applies the force.
Units and format
Enter a number in mm: millimetres. The form accepts 0.000001 mm to 5000 mm. Required: the tool does not calculate until every input is valid.
Example
The form opens with 75 mm as a worked example. It is an illustration, not a recommended value: replace it with your own figure.
Effect on the result
Clamping force rises in direct proportion to the handle radius.
Get it right
Measure to the middle of the hand grip, not to the end of the bar.
What this means: Mean (pitch) diameter of thread
Illustration: Mean (pitch) diameter of threadA screw-thread profile with crests and roots, the pitch from crest to crest and the major and minor diameters, for Mean (pitch) diameter of thread.pitchmajorminord_mExample: 10 mmMean (pitch) diameter of thread
What it is
The mean or pitch diameter of the clamp screw thread, halfway between crests and roots, where the thread force is taken to act.
Units and format
Enter a number in mm: millimetres. The form accepts 0.000001 mm to 10000 mm. Required: the tool does not calculate until every input is valid.
Example
The form opens with 10 mm as a worked example. It is an illustration, not a recommended value: replace it with your own figure.
Get it right
Use the pitch diameter, not the nominal outside diameter.
What this means: Lead
Illustration: LeadA screw-thread profile with crests and roots, the pitch from crest to crest and the major and minor diameters, for Lead.pitchmajorminorlExample: 2 mmLead
What it is
How far the screw advances along its axis in one full turn. It equals the pitch times the number of thread starts.
Units and format
Enter a number in mm: millimetres. The form accepts 0.000001 mm to 1000 mm. Required: the tool does not calculate until every input is valid.
Example
The form opens with 2 mm as a worked example. It is an illustration, not a recommended value: replace it with your own figure.
Effect on the result
A larger lead advances faster but gives less clamping force for the same handle torque.
Get it right
For a multi-start thread, multiply the pitch by the number of starts.
What this means: Thread form
Illustration: Thread formThe options for Thread form, with the one currently selected highlighted.SquareAcme (29°)Trapezoidal (30°)Example: Trapezoidal (30°)Thread form
What it is
The shape of the clamp screw thread. Inclined flanks press harder on the nut than a square thread, which adds friction.
Units and format
Choose one of 3 options from the list: Square; Acme (29°); Trapezoidal (30°).
Example
The form opens with “Trapezoidal (30°)” selected as a worked example. Choose the option that matches your case.
Get it right
Check the thread standard on the drawing; Acme and trapezoidal look alike but differ in flank angle.
What this means: Thread friction coefficient
Illustration: Thread friction coefficientA block resting on a surface with the normal force pressing down and friction resisting sliding; Thread friction coefficient is friction force divided by normal force.NfrictionμExample: 0.15Thread friction coefficient
What it is
The friction coefficient between the screw thread and the nut thread.
Units and format
Enter a plain number with no unit. The form accepts 0 to 1. Required: the tool does not calculate until every input is valid.
Example
The form opens with 0.15 as a worked example. It is an illustration, not a recommended value: replace it with your own figure.
Effect on the result
Higher thread friction lowers the clamping force for the same handle effort.
Get it right
Use a value for the actual materials and lubrication from a power-screw reference; oiling changes it a lot.
What this means: Mean pad (collar) diameter
Illustration: Mean pad (collar) diameterA circle with a line straight through its centre from edge to edge, marking the diameter Mean pad (collar) diameter.d_cmeasured acrossthe centreExample: 8 mmMean pad (collar) diameter
What it is
The mean diameter of the swivel pad or collar where the screw end turns against the pad, which adds friction torque.
Units and format
Enter a number in mm: millimetres. The form accepts 0 mm to 10000 mm. Required: the tool does not calculate until every input is valid.
Example
The form opens with 8 mm as a worked example. It is an illustration, not a recommended value: replace it with your own figure.
Effect on the result
A larger pad diameter adds friction torque and lowers the clamping force.
Get it right
Measure to the middle of the bearing ring, halfway between its inner and outer edges.
What this means: Pad friction coefficient
Illustration: Pad friction coefficientA block resting on a surface with the normal force pressing down and friction resisting sliding; Pad friction coefficient is friction force divided by normal force.Nfrictionμ_cExample: 0.15Pad friction coefficient
What it is
The friction coefficient where the screw end turns against the swivel pad or collar.
Units and format
Enter a plain number with no unit. The form accepts 0 to 1. Required: the tool does not calculate until every input is valid.
Example
The form opens with 0.15 as a worked example. It is an illustration, not a recommended value: replace it with your own figure.
Get it right
A ball end or thrust washer gives much less friction than a flat dry face.

Duty

What this means: Screw root diameter
Illustration: Screw root diameterA screw-thread profile with crests and roots, the pitch from crest to crest and the major and minor diameters, for Screw root diameter.pitchmajorminord_rExample: 8 mmScrew root diameter
What it is
The root (minor) diameter of the screw thread, the smallest section that carries the clamping force in compression.
Units and format
Enter a number in mm: millimetres. The form accepts 0.000001 mm to 10000 mm. Required: the tool does not calculate until every input is valid.
Example
The form opens with 8 mm as a worked example. It is an illustration, not a recommended value: replace it with your own figure.
Effect on the result
Screw stress falls with the square of the root diameter.
Get it right
Use the minor diameter from the thread standard, not the pitch or nominal diameter.
What this means: Allowable compressive stress
Illustration: Allowable compressive stressA test bar pulled from both ends: stress Allowable compressive stress is the force carried by each square millimetre of its cross-section.σ_astress = force ÷ areaExample: 200 MPaAllowable compressive stress
What it is
The compressive stress you allow on the root section of the screw.
Units and format
Enter a number in MPa: megapascals (1 MPa = 1 N/mm²). The form accepts 0.000001 MPa to 5000 MPa. Required: the tool does not calculate until every input is valid.
Example
The form opens with 200 MPa as a worked example. It is an illustration, not a recommended value: replace it with your own figure.
Get it right
Set it from the screw material’s strength and your design code; long, slender screws also need a buckling check.
What this means: Clamping force needed
Illustration: Clamping force neededA block with an arrow pushing on it; the arrow is the force Clamping force needed.FExample: 2000 NClamping force needed
What it is
The clamping force the job needs to hold the work against machining, assembly or test forces.
Units and format
Enter a number in N: newtons. The form accepts 0 N or more. Required: the tool does not calculate until every input is valid.
Example
The form opens with 2000 N as a worked example. It is an illustration, not a recommended value: replace it with your own figure.
Get it right
Work it out from the forces on the part and the friction holding it, with your own safety margin.

Method and formulas

  1. Torque = handle effort × radius.
  2. Torque to raise load F = F [d_m ÷ 2 × (L + π μ d_m sec α) ÷ (π d_m − μ L sec α) + μ_c d_c ÷ 2] (as the power screw torque tool), solved for F.
  3. Root stress = F ÷ (π d_r² ÷ 4).
  4. Example: 11.25 N·m at the handle gives 6,595.5 N of clamping force and 131.21 MPa in the screw.

Limitations

  • Static tightening; impact from hammering the handle multiplies the force.
  • Long, slender screws can buckle; check them as columns.
  • Example values are illustrations. Replace them with values for your actual task.

Typical uses

  • Check a fixture or welding clamp screw
  • Find the clamping force of a vice
  • Size the handle for a needed clamping force

Who it is for

  • Fixture designers
  • Toolmakers
  • Design engineers

What you get

  • Handle torque
  • Clamping force and efficiency
  • Screw stress and decision

Interpreting the result

  • Most of the handle effort goes into friction: lubricating the thread and pad can nearly double the clamping force.

References

  • Machinery’s Handbook, 29th edition (Industrial Press, 2012), printed pp. 1921–1928, 2561–2568. Topic reference; no source tables or recommended settings are reproduced.

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Open the Screw Clamp Force Check (Handle Torque, Clamping Force, Screw Stress) calculator