Simply Supported Beam Moment Calculator

Maximum Moment Formula:

\[ M_{max} = \frac{w L^2}{12} \]

Maximum Moment (M_max):

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1. What is the Maximum Moment for Simply Supported Beam?

The maximum moment for a simply supported beam with end moments is calculated using the formula \( M_{max} = \frac{w L^2}{12} \), where w is the distributed load and L is the length of the beam. This represents the peak bending moment that occurs in the beam.

2. How Does the Calculator Work?

The calculator uses the maximum moment formula:

\[ M_{max} = \frac{w L^2}{12} \]

Where:

\( M_{max} \) — Maximum moment (Nm)
\( w \) — Distributed load (N/m)
\( L \) — Length of the beam (m)

Explanation: This formula calculates the maximum bending moment for a simply supported beam with uniformly distributed load and end moments.

3. Importance of Maximum Moment Calculation

Details: Calculating the maximum moment is essential for structural design, ensuring beams can withstand applied loads without failure, and determining appropriate beam dimensions and materials.

4. Using the Calculator

Tips: Enter distributed load in N/m and length in meters. 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 supports at both ends, allowing rotation but not translation at the supports.

Q2: When is this formula applicable?
A: This formula applies to simply supported beams with uniformly distributed load and end moments.

Q3: What units should I use?
A: Use consistent units: load in N/m, length in m, and the result will be in Nm.

Q4: Are there limitations to this formula?
A: This formula assumes uniform material properties, constant cross-section, and ideal support conditions.

Q5: How does end moment affect the calculation?
A: The formula \( M_{max} = \frac{w L^2}{12} \) specifically accounts for the presence of end moments in addition to the distributed load.