Home Back

Stiffness of Fixed-Fixed Beam with Load at Middle Calculator

Stiffness Formula:

\[ K = \frac{192 \times E \times I}{L^3} \]

N/m²
kg·m²
m
%
N/m

1. What is Stiffness of Fixed-Fixed Beam with Load at Middle?

Definition: This calculator determines the stiffness constant of a fixed-fixed beam with a central point load.

Purpose: It helps engineers and designers calculate the beam's resistance to deformation under load.

2. How Does the Calculator Work?

The calculator uses the formula:

\[ K = \frac{192 \times E \times I}{L^3} \]

Where:

  • \( K \) — Stiffness constant (N/m)
  • \( E \) — Young's Modulus (N/m²)
  • \( I \) — Moment of Inertia (kg·m²)
  • \( L \) — Total beam length (m)

Explanation: The formula calculates the stiffness based on material properties (E), cross-section properties (I), and beam geometry (L).

3. Importance of Stiffness Calculation

Details: Proper stiffness calculation ensures structural integrity, predicts deflection under load, and helps in vibration analysis.

4. Using the Calculator

Tips: Enter Young's Modulus, Moment of Inertia, Total Length, and optional tolerance percentage. All values must be > 0.

5. Frequently Asked Questions (FAQ)

Q1: What is Young's Modulus?
A: It's a measure of material stiffness, defined as the ratio of stress to strain.

Q2: How do I find Moment of Inertia?
A: It depends on the cross-section shape. For common shapes, use standard formulas or CAD software.

Q3: Why include tolerance?
A: Tolerance accounts for material variations, manufacturing imperfections, and safety factors.

Q4: What's a typical tolerance percentage?
A: ±5% is common, but it depends on material quality and application requirements.

Q5: Can this be used for other beam types?
A: No, this formula is specific for fixed-fixed beams with central point load.

Stiffness of Fixed-Fixed Beam Calculator© - All Rights Reserved 2025