1. What is Bending Stiffness?

Definition: Bending stiffness measures a beam's resistance to deformation under bending loads.

Purpose: It helps engineers design beams that can withstand expected loads without excessive deflection.

2. How Does the Calculator Work?

The calculator uses the formula:

Where:

• \( k \) — Bending stiffness (lb/in)
• \( E \) — Modulus of elasticity (psi)
• \( I \) — Moment of inertia (in⁴)
• \( L \) — Length of beam (in)

Explanation: The product of material stiffness (E) and cross-section property (I) divided by length determines overall bending resistance.

3. Importance of Bending Stiffness

Details: Proper stiffness calculation ensures structural integrity, prevents excessive deflection, and meets design specifications.

4. Using the Calculator

Tips: Enter the modulus of elasticity (E), moment of inertia (I), and beam length (L). All values must be > 0.

5. Frequently Asked Questions (FAQ)

Q1: What is typical modulus of elasticity for steel?
A: For structural steel, E is typically 29,000,000 psi (29 × 10⁶ psi).

Q2: How do I find moment of inertia for common shapes?
A: Standard formulas exist for common cross-sections (I-beams, rectangles, circles). See engineering handbooks.

Q3: Does length significantly affect stiffness?
A: Yes, stiffness is inversely proportional to length - doubling length halves stiffness.

Q4: What units should I use?
A: Consistent units are critical. This calculator uses psi, in⁴, and inches for lb/in result.

Q5: How does material affect bending stiffness?
A: Stiffer materials (higher E) increase stiffness, while flexible materials decrease it.