Column Yield Stress given Cross-Sectional Area of Column Web Stiffeners Calculator

Column Yield Stress Formula:

\[ F_{yc} = \frac{P_{bf} - (A_{cs} \times F_{yst})}{t_{wc} \times (t_f + 5 \times K)} \]

Computed Force (P_bf):

Cross Sectional Plate Area (A_cs):

m²

Stiffener Yield Stress (F_yst):

MPa

Column Web Thickness (t_wc):

Flange Thickness (t_f):

Distance Between Flange and Web (K):

Tolerance:

Column Yield Stress (F_yc):

1. What is Column Yield Stress?

Definition: Column Yield Stress is the minimum stress at which a column will undergo permanent deformation or plastic flow without a significant increase in load.

Purpose: This calculation helps structural engineers determine the stress capacity of columns with web stiffeners.

2. How Does the Calculator Work?

The calculator uses the formula:

\[ F_{yc} = \frac{P_{bf} - (A_{cs} \times F_{yst})}{t_{wc} \times (t_f + 5 \times K)} \]

Where:

\( F_{yc} \) — Column yield stress (MPa)
\( P_{bf} \) — Computed force delivered by the flange (kN)
\( A_{cs} \) — Cross sectional plate area (m²)
\( F_{yst} \) — Stiffener yield stress (MPa)
\( t_{wc} \) — Column web thickness (mm)
\( t_f \) — Flange thickness (mm)
\( K \) — Distance between flange and web (mm)

3. Importance of Column Yield Stress Calculation

Details: Proper calculation ensures structural integrity, prevents premature failure, and helps in designing efficient structural systems.

4. Using the Calculator

Tips: Enter all required values in their respective units. The tolerance field (default ±5%) allows you to specify acceptable variation in results.

5. Frequently Asked Questions (FAQ)

Q1: What is the typical range for column yield stress?
A: For structural steel columns, yield stress typically ranges from 250 MPa to 690 MPa depending on the steel grade.

Q2: Why include a tolerance percentage?
A: The tolerance accounts for material variations, manufacturing tolerances, and calculation approximations.

Q3: How does web stiffener area affect the calculation?
A: Larger stiffener areas (A_cs) reduce the effective stress on the column web.

Q4: What if my computed force includes dynamic loads?
A: Use appropriate load factors (5/3 for dead/live loads, 4/3 when including wind/earthquake) before input.

Q5: Can this calculator be used for other materials?
A: The formula is specific to steel construction. Other materials require different calculations.