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Bending Stress using Eccentric Load and Eccentricity Calculator

Formula Used:

\[ \sigma_b = \frac{6 \times P \times e_{load}}{h \times b^2} \]

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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 when an eccentric load is applied to a column, creating both direct stress and bending stress.

2. How Does the Calculator Work?

The calculator uses the formula:

\[ \sigma_b = \frac{6 \times P \times e_{load}}{h \times b^2} \]

Where:

Explanation: This formula calculates the bending stress induced in a column due to an eccentric load, taking into account the load magnitude, eccentricity, and column dimensions.

3. Importance of Bending Stress Calculation

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

4. Using the Calculator

Tips: Enter eccentric load in Newtons, eccentricity in meters, depth and width of column in meters. All values must be positive and non-zero.

5. Frequently Asked Questions (FAQ)

Q1: What is eccentric loading?
A: Eccentric loading occurs when a load is applied away from the centroid of a column's cross-section, creating both axial and bending stresses.

Q2: How does eccentricity affect bending stress?
A: Greater eccentricity increases the bending moment, resulting in higher bending stresses in the column.

Q3: What are the 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 is applicable for calculating bending stress in columns with rectangular cross-sections under eccentric loading.

Q5: What factors influence bending stress?
A: Bending stress is influenced by the magnitude of the load, eccentricity distance, and the dimensions of the column cross-section.

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