Calculate Bending Moment

Bending Moment Equation:

\[ M = \frac{P \cdot a \cdot (L - a)}{L \cdot b} \]

Point Load (P):

Distance to Load (a):

Span Length (L):

Width (b):

Bending Moment (M):

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1. What is Bending Moment?

Bending moment is a measure of the bending effect that occurs when an external force is applied to a structural element. It represents the internal moment that causes a beam or other structural element to bend.

2. How Does the Calculator Work?

The calculator uses the bending moment equation:

\[ M = \frac{P \cdot a \cdot (L - a)}{L \cdot b} \]

Where:

\( M \) — Bending moment (Nm)
\( P \) — Point load (N)
\( a \) — Distance to load from support (m)
\( L \) — Span length (m)
\( b \) — Width of the beam (m)

Explanation: This equation calculates the maximum bending moment for a simply supported beam with a point load applied at distance 'a' from one support.

3. Importance of Bending Moment Calculation

Details: Calculating bending moment is crucial for structural design and analysis. It helps engineers determine the required strength and dimensions of beams and other structural elements to ensure they can safely support applied loads without excessive deflection or failure.

4. Using the Calculator

Tips: Enter all values in consistent units (N for force, m for distance). Ensure the distance to load (a) is less than the span length (L). All values must be positive numbers.

5. Frequently Asked Questions (FAQ)

Q1: What is a simply supported beam?
A: A simply supported beam is a structural element that rests on two supports at its ends and is free to rotate at these supports.

Q2: Where does maximum bending moment occur?
A: For a simply supported beam with a single point load, the maximum bending moment occurs directly under the point load.

Q3: What are the units of bending moment?
A: Bending moment is typically measured in Newton-meters (Nm) in the SI system or pound-feet (lb-ft) in the imperial system.

Q4: How does beam width affect bending moment?
A: Beam width (b) is inversely proportional to bending moment. Wider beams typically experience lower bending stresses for the same applied load.

Q5: Can this calculator be used for distributed loads?
A: No, this specific calculator is designed for point loads only. Different equations are used for uniformly distributed loads or other load configurations.