Plastic Moment for Fixed Beam with Load at its Center Calculator

Plastic Moment Formula:

\[ M_{pf} = \frac{W_u \times l}{8} \]

Plastic Moment (Nm):

1. What is Plastic Moment for Fixed Beam with Load at Center?

Definition: This calculator determines the plastic moment capacity of a fixed beam with a concentrated load at its center.

Purpose: It helps structural engineers determine the beam's capacity to resist plastic deformation under the given load.

2. How Does the Calculator Work?

The calculator uses the formula:

\[ M_{pf} = \frac{W_u \times l}{8} \]

Where:

\( M_{pf} \) — Plastic moment (Nm)
\( W_u \) — Theoretical load (kg)
\( l \) — Overall length of beam (m)

Explanation: The formula calculates the maximum moment capacity when the beam reaches its plastic limit state.

3. Importance of Plastic Moment Calculation

Details: Accurate plastic moment calculation ensures structural safety and prevents beam failure under ultimate loads.

4. Using the Calculator

Tips: Enter the theoretical load in kg (±5%) and beam length in meters (±5%). All values must be > 0.

5. Frequently Asked Questions (FAQ)

Q1: What does ±5% mean for input values?
A: It indicates the acceptable tolerance range for the input parameters.

Q2: How is theoretical load determined?
A: It's calculated based on material properties and safety factors according to relevant design codes.

Q3: What's the difference between elastic and plastic moment?
A: Elastic moment considers behavior within elastic limits, while plastic moment accounts for material yielding.

Q4: Can this be used for distributed loads?
A: No, this formula is specifically for concentrated center loads on fixed beams.

Q5: How does beam fixity affect the result?
A: Fixed beams have higher moment capacity than simply supported beams due to end restraints.