Engineering
Column Safety Factor Calculator
Calculate radius of gyration, effective slenderness, Euler critical load, yield squash load, preliminary allowable load, utilization, and load margin.
Least-axis radius of gyration-
Effective buckling length K L-
Effective slenderness K L over r-
Euler elastic critical load-
Cross-section yield load-
Lower Euler or yield load-
Theoretical load divided by required factor-
Governing theoretical load over applied load-
Actual minus required safety factor-
Allowable load minus applied load-
Applied load divided by preliminary allowable load-
Euler critical stress-
Decision view
Euler, yield, allowable, and applied-load check
Euler, yield, allowable, and applied-load checkThe Euler elastic-buckling load and section-yield load are independent theoretical limits; their lower value is divided by the entered preliminary safety factor before comparison with applied load.
Exact scenario comparisonApplied concentric axial load (kN) changes while all other entered assumptions remain constant.
| Applied concentric axial load (kN) | Least-axis radius of gyration | Effective buckling length K L | Effective slenderness K L over r | Euler elastic critical load | Cross-section yield load | Lower Euler or yield load | Theoretical load divided by required factor | Governing theoretical load over applied load | Actual minus required safety factor | Allowable load minus applied load | Applied load divided by preliminary allowable load | Euler critical stress |
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How to use Column Safety Factor Calculator
- Use least-axis section properties.
- Enter unsupported length and a defensible effective-length factor.
- Compare applied load with the preliminary allowable result.
Calculator guide
Understanding Column Safety Factor Calculator
This preliminary column check compares two transparent theoretical limits: Euler elastic buckling and uniform section yield. The lower limit governs before the entered safety factor is applied.
Detailed calculation process
Detailed Euler and yield column check
The default example makes every unit conversion and governing comparison explicit.
General formula: r=sqrt(I/A)L_e=KLlambda=L_e/rP_E=pi^2EI/L_e^2P_y=F_yAP_g=min(P_E,P_y)P_a=P_g/n Euler load and yield load are independent limits. The lower value is divided by the entered factor n.
What each symbol means
Worked substitution with the default inputs
Multiplying the 1,169.16 kN allowable load by 1.67 returns the 1,952.5 kN governing theoretical load.
Worked situations
Practical examples
- A stocky section can be governed by yield even when Euler load is much higher.
- Increasing effective length reduces Euler load with the square of length.
Better inputs
Useful tips
- Use the weakest-axis moment of inertia.
- Keep centimetre units matched to the labeled fields.
- Treat K as an engineering assumption requiring restraint review.
Before relying on the result
Limitations and common mistakes
- This is not a code column curve.
- Imperfections, residual stress, local buckling, and second-order effects are excluded.
- Connections and load combinations require full design.
Reference
Key terms
- Effective length
- Unsupported length multiplied by the restraint factor K.
- Euler load
- Ideal elastic bifurcation load for a straight prismatic column.
- Radius of gyration
- Square root of I divided by area.
Important note
Do not use the result as final structural capacity; apply the governing design standard and qualified engineering review.
Frequently asked questions
Why use the lower load?
A theoretical capacity cannot exceed either the elastic-buckling or section-yield limit.
Does safety factor equal a code factor?
No. It is an entered preliminary divisor.
Why can Euler stress exceed yield?
That signals Euler elastic buckling is not the governing theoretical limit for this stocky case.