Plastic Moment for SSB with Point load at center Calculator

Plastic Moment Formula:

\[ M_{psc} = \frac{W_u \times l}{4} \]

Plastic Moment (N·m):

1. What is Plastic Moment for SSB with Point Load at Center?

Definition: This calculator determines the plastic moment capacity of a simply supported beam (SSB) when a point load is applied at its center.

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

2. How Does the Calculator Work?

The calculator uses the formula:

\[ M_{psc} = \frac{W_u \times l}{4} \]

Where:

\( M_{psc} \) — Plastic moment (N·m)
\( W_u \) — Theoretical or nominal load (kg)
\( l \) — Overall length of beam (m)

Explanation: The load multiplied by the beam length gives the total moment, which is then divided by 4 for a center-loaded simply supported beam.

3. Importance of Plastic Moment Calculation

Details: Calculating the plastic moment ensures structural safety by determining when a beam will reach its plastic limit state under loading.

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 in the input fields?
A: It indicates the acceptable tolerance range for the input values, accounting for measurement uncertainties.

Q2: How is plastic moment different from elastic moment?
A: Plastic moment considers material yielding across the entire cross-section, while elastic moment only considers stresses within the elastic range.

Q3: What units should I use for inputs?
A: Use kilograms (kg) for load and meters (m) for length. The result is in Newton-meters (N·m).

Q4: Does this consider safety factors?
A: No, this calculates theoretical capacity. Apply appropriate safety factors for design purposes.

Q5: What if my load isn't at the exact center?
A: This calculator is specifically for center loads. Use a different formula for off-center loads.