1. What is Axial Load Capacity of Slender Columns?

Definition: This calculator determines the axial load capacity of slender columns based on the magnified moment and column eccentricity.

Purpose: It helps structural engineers and designers evaluate the load-bearing capacity of slender columns considering second-order effects.

2. How Does the Calculator Work?

The calculator uses the formula:

Where:

• \( P_u \) — Axial load capacity (Newtons)
• \( M_c \) — Magnified moment (Newton-meters)
• \( e \) — Eccentricity of column (meters)

Explanation: The magnified moment is divided by the eccentricity to determine the axial load capacity that the column can safely carry.

3. Importance of Axial Load Capacity Calculation

Details: Proper calculation ensures structural stability, prevents column failure, and helps in economical design of slender columns.

4. Using the Calculator

Tips: Enter the magnified moment in N·m, column eccentricity in meters, and tolerance percentage (default ±5%). All values must be > 0.

5. Frequently Asked Questions (FAQ)

Q1: What is magnified moment?
A: Magnified moment accounts for second-order effects (P-Delta effects) in slender columns where lateral displacements increase moments.

Q2: How is eccentricity determined?
A: Eccentricity is the distance between the load application point and the column's centroidal axis, often specified in design.

Q3: Why include a tolerance factor?
A: The tolerance (±5%) accounts for material variations, construction tolerances, and other uncertainties in real-world conditions.

Q4: What makes a column "slender"?
A: A column is considered slender when its slenderness ratio (length/radius of gyration) exceeds code-specified limits.

Q5: How does this differ from short column calculations?
A: Slender columns require consideration of additional moments from lateral displacements, unlike short columns.

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