Screw Axial Force Calculator

Estimate axial load from torque and threads. Compare friction, efficiency, preload loss, and screw count. Get safer fastening decisions with clear engineering outputs today.

Calculator

Formula Used

Nut factor method: F = T / Kd

F is axial force. T is torque. K is nut factor. d is nominal screw diameter.

Thread friction method: T = F[(dm / 2)((l + πμdm sec α) / (πdm − μl sec α)) + μc dc / 2]

dm is mean diameter. l is lead. μ is thread friction. μc is collar friction. dc is collar mean diameter.

Efficiency method: F = 2πηT / l

η is screw efficiency. Lead equals pitch multiplied by thread starts.

How to Use This Calculator

  1. Select the calculation method that matches your available data.
  2. Enter applied torque, screw diameter, pitch, and units.
  3. Add friction, efficiency, collar, and thread details when known.
  4. Enter screw count, preload loss, safety factor, and service load.
  5. Add stress area and proof strength for stress checking.
  6. Press Calculate and review the result above the form.
  7. Use CSV or PDF buttons to save the calculation.

Example Data Table

Case Torque Diameter Pitch Method Typical Output
M10 dry bolt 50 N·m 10 mm 1.5 mm Nut factor About 25 kN before loss
M12 lubricated bolt 80 N·m 12 mm 1.75 mm Nut factor Higher preload with lower K
Lead screw jack 35 N·m 20 mm 4 mm Efficiency Depends strongly on efficiency
Collar loaded screw 60 N·m 16 mm 2 mm Thread friction Reduced by collar drag

Understanding Screw Axial Force

A screw axial force calculator estimates the clamping force created when torque turns a screw, bolt, or threaded jack. The force acts along the screw axis. It is useful for preload checks, lifting screws, fixture clamps, machine frames, and test rigs. Torque alone does not define clamp force. Diameter, pitch, thread friction, collar friction, and efficiency can change the answer greatly.

Why Friction Matters

Most tightening torque is lost to friction. Only a smaller part becomes useful axial load. A clean lubricated screw may create much higher force than a dry dirty screw at the same torque. That is why this calculator includes nut factor, thread friction, collar friction, thread angle, and efficiency methods. These options help compare practical cases instead of relying on one simple estimate.

Engineering Use

The nut factor method is fast and common for bolted joints. It uses torque, nominal diameter, and a tightening coefficient. The thread friction method is better when pitch, mean diameter, flank angle, and collar drag are known. The efficiency method is helpful for lead screws and screw jacks, where mechanical efficiency is measured or estimated.

Reading the Results

The result starts with initial axial force per screw. It then applies preload loss, screw count, and safety factor. The retained clamp force shows the useful load after relaxation, embedment, or seating loss. The stress result compares retained load with tensile stress area. Proof utilization shows how much of the selected proof load is being used.

Good Input Practice

Use consistent and realistic data. Choose torque from a calibrated wrench or design target. Use measured pitch and mean diameter when possible. Select friction from test data, coating information, or reliable tables. For safety critical assemblies, confirm preload with direct methods such as load cells, ultrasonic elongation, or validated torque angle procedures.

Limits and Assumptions

This calculator gives an engineering estimate. It does not replace joint testing, fatigue checks, bearing pressure checks, thread stripping checks, or code requirements. Real assemblies may include washers, coatings, temperature change, vibration, gasket compression, and surface settling. Use conservative factors when data is uncertain. Review outputs with an engineer before final production use. Always check material grade, engagement length, and service environment before choosing torque.

FAQs

What is screw axial force?

It is the force acting along the screw axis. In bolted joints, it is usually called clamp force or preload. In lead screws, it may be the lifting or pushing force.

Why does torque not directly equal clamp force?

Torque is partly consumed by thread friction and bearing friction. Surface finish, lubrication, coating, washer type, and thread condition can change the final axial force.

What is a nut factor?

Nut factor is a practical tightening coefficient. It combines thread friction, bearing friction, and geometry into one value. It is useful when detailed friction data is unavailable.

When should I use the thread friction method?

Use it when pitch, mean diameter, thread angle, collar diameter, and friction values are known. It gives more detail than the simple nut factor method.

What is screw lead?

Lead is the axial travel for one complete screw turn. For a single start thread, lead equals pitch. For multiple starts, lead equals pitch multiplied by starts.

What does preload loss mean?

Preload loss is the estimated reduction after tightening. It may come from embedment, relaxation, gasket compression, temperature change, or seating of contact surfaces.

How is tensile stress calculated?

The calculator divides retained force per screw by tensile stress area. If no custom area is entered, it estimates area from diameter and pitch.

Can this replace engineering testing?

No. It is an estimate for planning and comparison. Critical joints still need material checks, thread engagement checks, fatigue review, and verified preload testing.


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Important Note: All the Calculators listed in this site are for educational purpose only and we do not guarentee the accuracy of results. Please do consult with other sources as well.