Home Back

Maximum Fiber Stress in Bending for Laterally Supported Compact Beams and Girders Calculator

Maximum Fiber Stress Formula:

\[ F_b = 0.66 \times F_y \]

Pa
%

1. What is Maximum Fiber Stress in Bending?

Definition: Maximum fiber stress is the highest stress value that occurs at the extreme fibers of a beam or girder when subjected to bending.

Purpose: This calculation helps structural engineers ensure that beams and girders can safely resist bending moments without exceeding material limits.

2. How Does the Calculator Work?

The calculator uses the formula:

\[ F_b = 0.66 \times F_y \]

Where:

  • \( F_b \) — Maximum allowable fiber stress (Pa)
  • \( F_y \) — Yield stress of steel (Pa)

Explanation: The factor 0.66 represents the safety factor applied to the yield stress for compact sections with adequate lateral support.

3. Importance of Maximum Fiber Stress Calculation

Details: Proper calculation ensures structural safety, prevents plastic deformation, and maintains serviceability of beams and girders under load.

4. Using the Calculator

Tips: Enter the yield stress of steel in Pascals and the desired tolerance percentage (default 5%). All values must be ≥ 0.

5. Frequently Asked Questions (FAQ)

Q1: What is the 0.66 factor based on?
A: The 0.66 factor accounts for safety margins and material variability, ensuring stresses remain below yield under all loading conditions.

Q2: When is this formula applicable?
A: For compact steel sections with adequate lateral support where local buckling is prevented.

Q3: What's a typical yield stress for structural steel?
A: Common grades like A36 have Fy = 250 MPa, while high-strength steels may have Fy = 345 MPa or higher.

Q4: Why include a tolerance percentage?
A: Tolerance accounts for material variations, fabrication tolerances, and calculation uncertainties in real-world applications.

Q5: How does lateral support affect this calculation?
A: Adequate lateral support prevents lateral-torsional buckling, allowing the full 0.66Fy stress to develop.

Maximum Fiber Stress Calculator© - All Rights Reserved 2025