1. What is Deflection of Section Calculator?

Definition: This calculator determines the deflection at a specific section of a column when one end is fixed and the other is free, considering the moment and crippling load.

Purpose: It helps structural engineers analyze column behavior under load to ensure structural integrity and safety.

2. How Does the Calculator Work?

The calculator uses the formula:

Where:

• \( \delta \) — Deflection at section (meters)
• \( a \) — Deflection of free end (meters)
• \( M_t \) — Moment of section (Newton-meters)
• \( P \) — Column crippling load (Newtons)

Explanation: The deflection at a section equals the free end deflection minus the ratio of the moment to the crippling load.

3. Importance of Deflection Calculation

Details: Accurate deflection calculations are crucial for structural stability, preventing excessive deformation, and meeting building code requirements.

4. Using the Calculator

Tips:

• Enter deflection of free end in meters
• Enter moment of section in Newton-meters
• Enter column crippling load in Newtons
• Specify tolerance percentage (default ±5%)
• Crippling load cannot be zero

5. Frequently Asked Questions (FAQ)

Q1: What is column crippling load?
A: The load at which a column begins to deform laterally rather than compressing axially.

Q2: Why include tolerance percentage?
A: Tolerance accounts for material variations, construction imperfections, and safety factors in real-world applications.

Q3: When is this calculation most important?
A: For slender columns where lateral deflection is more significant than axial compression.

Q4: What does negative deflection indicate?
A: Negative values suggest deflection in the opposite direction from the assumed positive direction.

Q5: How does fixed vs. free end affect results?
A: Fixed end prevents rotation while free end allows movement, creating specific deflection patterns.

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