Computed Force for Column-Web Depth of Fillets Calculator

Computed Force Formula:

\[ P_{bf} = \frac{4100 \times t_{wc}^3 \times \sqrt{F_{yc}}}{d_c} \]

Column Web Thickness:

Column Yield Stress:

MPa

Web Depth:

Tolerance:

Computed Force (kN):

1. What is Computed Force for Column-Web Depth of Fillets?

Definition: This calculator determines the computed force delivered by the flange of a moment connection plate, considering column web thickness, yield stress, and web depth.

Purpose: It helps structural engineers ensure proper force distribution in column-web connections, accounting for various load conditions.

2. How Does the Calculator Work?

The calculator uses the formula:

\[ P_{bf} = \frac{4100 \times t_{wc}^3 \times \sqrt{F_{yc}}}{d_c} \]

Where:

\( P_{bf} \) — Computed Force (kN)
\( t_{wc} \) — Column Web Thickness (mm)
\( F_{yc} \) — Column Yield Stress (MPa)
\( d_c \) — Web Depth (mm)

Explanation: The formula calculates the force capacity considering the column web's geometric properties and material strength.

3. Importance of Computed Force Calculation

Details: Proper calculation ensures structural integrity of connections, prevents web buckling, and maintains load transfer efficiency in steel structures.

4. Using the Calculator

Tips: Enter column web thickness (mm), yield stress (MPa, default 50), web depth (mm, default 46), and tolerance percentage (default ±5%). All dimensional values must be > 0.

5. Frequently Asked Questions (FAQ)

Q1: What does the tolerance percentage represent?
A: The tolerance (±5% by default) provides an acceptable range around the calculated value to account for material and construction variations.

Q2: What's a typical column yield stress value?
A: Common structural steel has yield stress of 250-350 MPa, but high-strength steel can exceed 450 MPa.

Q3: When would I adjust the tolerance?
A: Increase tolerance for less critical applications or when using materials with higher variability.

Q4: How do I measure web depth accurately?
A: Measure between the start and end of the web, ignoring any fillets at both sides.

Q5: What safety factors are included?
A: The formula inherently includes safety considerations through its empirical derivation and material properties.