1. What is the Deflection Formula For Angle Iron?

The deflection formula calculates the maximum deflection of an angle iron beam under a uniformly distributed load. This is important for structural engineering applications to ensure beams don't deflect beyond acceptable limits.

2. How Does the Calculator Work?

The calculator uses the deflection formula:

Where:

• \( \delta_{max} \) — Maximum deflection (m)
• \( w \) — Uniformly distributed load (N/m)
• \( L \) — Length of the beam (m)
• \( E \) — Modulus of elasticity (Pa)
• \( I_{weak} \) — Moment of inertia about the weak axis (m⁴)

Explanation: This formula calculates the maximum deflection at the center of a simply supported beam carrying a uniformly distributed load.

3. Importance of Deflection Calculation

Details: Calculating deflection is crucial in structural design to ensure that beams and other structural elements don't deform excessively under load, which could lead to serviceability issues or structural failure.

4. Using the Calculator

Tips: Enter all values in the specified units. Ensure all values are positive and within reasonable ranges for accurate results.

5. Frequently Asked Questions (FAQ)

Q1: What is the weak axis moment of inertia?
A: The weak axis moment of inertia (I_weak) is the second moment of area about the axis with the smallest resistance to bending.

Q2: When is this deflection formula applicable?
A: This formula applies to simply supported beams with uniformly distributed loads and linear elastic material behavior.

Q3: What are typical values for modulus of elasticity?
A: For steel, E is typically around 200 GPa (200 × 10⁹ Pa). For aluminum, it's about 69 GPa (69 × 10⁹ Pa).

Q4: How does length affect deflection?
A: Deflection increases with the fourth power of length, making longer beams much more susceptible to deflection.

Q5: What are acceptable deflection limits?
A: Acceptable deflection limits vary by application but are often specified as a fraction of the span length (e.g., L/360 for floors).