1. What is the Deflection Formula?

The deflection formula calculates the maximum deflection (δ_max) for a continuous beam with an intermediate load. It considers the load magnitude (Q), distance from support (a), beam length (l), modulus of elasticity (E), and moment of inertia (I).

2. How Does the Calculator Work?

The calculator uses the deflection formula:

Where:

• \( Q \) — Applied load (N)
• \( a \) — Distance from support to load (m)
• \( l \) — Total beam length (m)
• \( E \) — Modulus of elasticity (Pa)
• \( I \) — Moment of inertia (m⁴)

Explanation: This formula calculates the maximum vertical displacement of a continuous beam under a specific load configuration, accounting for material properties and geometric parameters.

3. Importance of Deflection Calculation

Details: Accurate deflection calculation is crucial for structural design to ensure beams meet serviceability requirements, prevent excessive deformation, and maintain structural integrity under loading conditions.

4. Using the Calculator

Tips: Enter all values in consistent units (N, m, Pa, m⁴). Ensure distance 'a' is less than beam length 'l'. All input values must be positive numbers.

5. Frequently Asked Questions (FAQ)

Q1: What is a continuous beam?
A: A continuous beam is a structural element that has more than two supports, providing continuity across multiple spans.

Q2: When is this deflection formula applicable?
A: This formula applies specifically to continuous beams with an intermediate point load and specific boundary conditions.

Q3: What are typical deflection limits?
A: Deflection limits vary by application but typically range from L/180 to L/360 for beams in building structures.

Q4: How does material affect deflection?
A: Materials with higher modulus of elasticity (E) exhibit less deflection under the same loading conditions.

Q5: What if my beam has multiple loads?
A: For multiple loads, superposition principle may be used, or more advanced analysis methods like moment distribution or finite element analysis.