1. What is Maximum Bending Stress?

Maximum bending stress (σ_max) is the highest stress experienced by a beam under bending load. For a simply supported beam with uniform load, the maximum stress occurs at the mid-span at the extreme fibers of the cross-section.

2. How Does the Calculator Work?

The calculator uses the bending stress formula:

Where:

• \( \sigma_{max} \) — Maximum bending stress (Pa)
• \( w \) — Uniform load (N/m)
• \( L \) — Beam length (m)
• \( c \) — Distance to extreme fiber (m)
• \( I \) — Moment of inertia (m⁴)

Explanation: The formula calculates the maximum stress in a simply supported beam subjected to uniform distributed load.

3. Importance of Bending Stress Calculation

Details: Calculating maximum bending stress is crucial for structural design to ensure beams can withstand applied loads without failure. It helps determine appropriate beam dimensions and material selection.

4. Using the Calculator

Tips: Enter uniform load in N/m, beam length in meters, distance to extreme fiber in meters, and moment of inertia in m⁴. All values must be positive and non-zero.

5. Frequently Asked Questions (FAQ)

Q1: What is a simply supported beam?
A: A beam supported at both ends, free to rotate but not to move vertically at the supports.

Q2: What is moment of inertia (I)?
A: A geometric property that measures how a cross-section resists bending. It depends on the shape and size of the cross-section.

Q3: What is distance to extreme fiber (c)?
A: The distance from the neutral axis to the outermost fiber of the beam cross-section.

Q4: When is this formula applicable?
A: For linear elastic materials, small deflections, and uniform cross-sections along the beam length.

Q5: What are typical units for these calculations?
A: SI units are commonly used (N, m, Pa), but consistent unit systems must be maintained throughout the calculation.