Axial Force Calculator
Calculate axial force, stress, and strain in structural members with our free online calculator. Perfect for engineers, students, and professionals.
Calculation Results
Formulas Used
Axial Strain (ε) = σ / E
Deformation (δ) = (P × L) / (A × E)
Where:
- P = Axial force applied to the member
- A = Cross-sectional area of the member
- E = Young’s modulus (modulus of elasticity) of the material
- L = Original length of the member
These formulas are based on Hooke’s Law for linear elastic materials, assuming small deformations and uniform stress distribution across the cross-section.
Frequently Asked Questions
Axial force refers to a load that acts along the longitudinal axis of a structural member, either as tension (pulling force) or compression (pushing force). It’s a fundamental concept in structural analysis that helps engineers determine how much stress a member can withstand before failing.
Axial stress is calculated by dividing the axial force (P) by the cross-sectional area (A) of the member. The formula is σ = P/A. This gives the stress in units of force per area (like MPa or psi). For accurate results, ensure your units are consistent.
Axial stress is uniform across the cross-section and results from forces applied along the member’s axis. Bending stress varies across the cross-section (maximum at the edges, zero at the neutral axis) and results from moments or transverse loads. Members can experience both simultaneously.
Common Young’s modulus (E) values:
- Steel: 200 GPa (29,000 ksi)
- Aluminum: 69 GPa (10,000 ksi)
- Concrete: 17-30 GPa (2,500-4,300 ksi)
- Wood (parallel to grain): 8-14 GPa (1,200-2,000 ksi)
- Glass: 50-90 GPa (7,300-13,000 ksi)
Axial force becomes critical in slender members (columns, tension rods, truss members) where buckling (for compression) or yielding (for tension) are primary failure modes. It’s also important in connections where bolts or welds must transfer axial loads between members.

