KEVOS® MAKEOS · Strength
Combined Axial and Biaxial Bending Stress
What are the corner stresses in this rectangular section under axial load and bending about both axes?
Stresses at the four corners of a rectangular section under an axial force and bending moments about both axes, with the peak tension and compression against an allowable stress.
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How this tool works
Inputs, units and where to find them
| Input | Unit | Typical source |
|---|---|---|
| Axial force (+ tension, − compression) | kN | Axial force at the section (tension positive). |
| Moment about X (bends in depth direction) | kN·m | Bending moment about the X axis (the width axis), from your load analysis. |
| Moment about Y (bends in width direction) | kN·m | Bending moment about the Y axis. |
| Section width (along X) | mm | Width of the rectangle along X. |
| Section depth (along Y) | mm | Depth of the rectangle along Y. |
| Allowable stress | MPa | Allowable stress from your design code. |
Method and formulas
- A = b h; Zx = b h² ÷ 6; Zy = h b² ÷ 6.
- Corner stress σ = P/A ± Mx ÷ Zx ± My ÷ Zy.
- Peak magnitude compared with the allowable.
- Example: the default loads give corner stresses from -6.6667 to 4 MPa.
Limitations
- Solid rectangular section, elastic; buckling of compression members is checked separately.
- For base plates on concrete or soil, a negative (tension) corner means lift-off and a different analysis.
- Example values are illustrations. Replace them with values for your actual task.
Typical uses
- Check brackets, posts and machine legs with offset loads
- Find whether a base plate lifts (tension)
- Check a section under combined loads
Who it is for
- Design engineers
- Structural and mechanical engineers
- Engineering students
What you get
- Stress at each corner
- Peak tension and compression
- Whether the whole section stays in compression
Interpreting the result
- If any corner is in tension on a bearing surface, the contact area shrinks and the simple formula no longer applies.
References
- Machinery’s Handbook, 29th edition (Industrial Press, 2012), printed pp. 212–218. Topic reference; no source tables or recommended settings are reproduced.
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