Maximum Fiber Stress Formula:
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.
The calculator uses the formula:
Where:
Explanation: The factor 0.66 represents the safety factor applied to the yield stress for compact sections with adequate lateral support.
Details: Proper calculation ensures structural safety, prevents plastic deformation, and maintains serviceability of beams and girders under load.
Tips: Enter the yield stress of steel in Pascals and the desired tolerance percentage (default 5%). All values must be ≥ 0.
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.