1. What is Flexural Rigidity?

Flexural Rigidity (EI) is the resistance offered by a structure against bending or flexure. It is the product of Young's modulus (E) and the moment of inertia (I) of the cross-section.

2. How Does the Calculator Work?

The calculator uses the formula:

Where:

• \( EI \) — Flexural Rigidity (N·cm²)
• \( W_{up} \) — Upward Thrust (N/m)
• \( L \) — Span Length (m)
• \( \delta \) — Deflection due to Moments (m)

Explanation: This formula calculates the flexural rigidity based on the upward thrust, span length, and deflection for parabolic tendon configurations.

3. Importance of Flexural Rigidity Calculation

Details: Accurate calculation of flexural rigidity is crucial for structural design, ensuring that beams and other structural elements can withstand bending stresses without excessive deflection.

4. Using the Calculator

Tips: Enter upward thrust in N/m, span length in meters, and deflection in meters. All values must be positive and non-zero.

5. Frequently Asked Questions (FAQ)

Q1: What is the significance of the 5/384 factor?
A: The factor 5/384 is derived from the maximum deflection formula for a uniformly loaded simply supported beam with a parabolic tendon profile.

Q2: How does upward thrust affect flexural rigidity?
A: Higher upward thrust typically results in greater flexural rigidity, meaning the structure is more resistant to bending.

Q3: What units should be used for input values?
A: Upward thrust should be in N/m, span length in meters, and deflection in meters. The result is in N·cm².

Q4: Can this calculator be used for non-parabolic tendons?
A: This specific formula is designed for parabolic tendon profiles. Other tendon configurations may require different formulas.

Q5: What is the typical range of flexural rigidity values?
A: Flexural rigidity values vary widely depending on the material and cross-section, from thousands to millions of N·cm² for typical structural elements.