1. What is Bending Stress in Column?

Bending Stress in Column is the normal stress that is induced at a point in a body subjected to loads that cause it to bend. It occurs due to eccentric loading where the load is not applied along the central axis of the column.

2. How Does the Calculator Work?

The calculator uses the formula:

Where:

• \( \sigma_b \) — Bending Stress in Column (Pa)
• \( M \) — Moment due to eccentric load (N·m)
• \( h \) — Depth of Column (m)
• \( b \) — Width of column (m)

Explanation: This formula calculates the maximum bending stress in a rectangular column section subjected to an eccentric load, considering the moment created by the eccentricity.

3. Importance of Bending Stress Calculation

Details: Calculating bending stress is crucial for structural design and analysis to ensure that columns can safely withstand eccentric loads without failure or excessive deformation.

4. Using the Calculator

Tips: Enter the moment due to eccentric load in N·m, depth of column in meters, and width of column in meters. All values must be positive and non-zero.

5. Frequently Asked Questions (FAQ)

Q1: What causes bending stress in columns?
A: Bending stress occurs when loads are applied eccentrically (off-center) to the column's axis, creating bending moments.

Q2: How does column geometry affect bending stress?
A: Bending stress is inversely proportional to both depth and the square of width, making wider columns more resistant to bending.

Q3: What are typical units for bending stress?
A: Bending stress is typically measured in Pascals (Pa) or Megapascals (MPa) in the SI system.

Q4: When is this formula applicable?
A: This formula applies to rectangular columns with linear elastic material behavior under small deformations.

Q5: How does eccentric loading differ from axial loading?
A: Eccentric loading creates both axial compression and bending stresses, while axial loading creates only uniform compression.