Section Modulus about Axis of Bending for Long Column Calculator

Section Modulus Formula:

\[ S = \frac{P_{compressive} \times e}{\sigma_b} \]

Column Compressive Load:

Column Maximum Bending:

Column Bending Stress:

Tolerance:

Section Modulus (m³):

1. What is Section Modulus about Axis of Bending for Long Column?

Definition: Section modulus is a geometric property for a given cross-section used in the design of beams or flexural members.

Purpose: It helps structural engineers determine the capacity of a column to resist bending stresses.

2. How Does the Calculator Work?

The calculator uses the formula:

\[ S = \frac{P_{compressive} \times e}{\sigma_b} \]

Where:

\( S \) — Section modulus (m³)
\( P_{compressive} \) — Column compressive load (N)
\( e \) — Column maximum bending (m)
\( \sigma_b \) — Column bending stress (Pa)

Explanation: The product of compressive load and maximum bending is divided by the bending stress to determine the required section modulus.

3. Importance of Section Modulus Calculation

Details: Proper section modulus calculation ensures structural stability and prevents failure due to excessive bending stresses in long columns.

4. Using the Calculator

Tips: Enter the compressive load in newtons, maximum bending in meters, bending stress in pascals, and optional tolerance percentage (default ±5%).

5. Frequently Asked Questions (FAQ)

Q1: What is a typical tolerance for section modulus?
A: ±5% is common, but this may vary based on engineering standards and project requirements.

Q2: How does maximum bending affect the section modulus?
A: Greater bending moments require larger section modulus values to maintain structural integrity.

Q3: What units should I use for input values?
A: Use consistent SI units: newtons (N) for load, meters (m) for bending, and pascals (Pa) for stress.

Q4: How is this different for short columns?
A: Short columns are primarily governed by compressive strength, while long columns are more affected by bending.

Q5: What if my calculated section modulus is negative?
A: Check your inputs - all values should be positive. Negative results indicate input errors.