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Deflection at Section given Moment of Section if Both Ends of Column are Fixed Calculator

Deflection Formula:

\[ \delta = \frac{M_{Fixed} - M_t}{P} \]

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1. What is Deflection at Section?

Definition: Deflection at Section is the lateral displacement at a specific section of a column when subjected to loads.

Purpose: It helps structural engineers determine how much a column will bend under given load conditions.

2. How Does the Calculator Work?

The calculator uses the formula:

\[ \delta = \frac{M_{Fixed} - M_t}{P} \]

Where:

  • \( \delta \) — Deflection at section (meters)
  • \( M_{Fixed} \) — Fixed end moment (Newton-meters)
  • \( M_t \) — Moment at section (Newton-meters)
  • \( P \) — Column crippling load (Newtons)

Explanation: The difference between fixed end moment and section moment is divided by the crippling load to determine deflection.

3. Importance of Deflection Calculation

Details: Proper deflection calculation ensures structural integrity, prevents excessive bending, and maintains safety standards.

4. Using the Calculator

Tips: Enter the fixed end moment, moment at section, crippling load, and tolerance percentage (default ±5%). All values must be valid numbers.

5. Frequently Asked Questions (FAQ)

Q1: What is column crippling load?
A: It's the load at which a column starts to buckle or deform laterally rather than compressing axially.

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

Q3: What if I get negative deflection?
A: Negative values indicate deflection in the opposite direction of the assumed positive direction in the calculation.

Q4: How do I find fixed end moments?
A: Fixed end moments can be calculated using structural analysis methods or obtained from engineering tables.

Q5: Does this work for all column materials?
A: The formula is material-agnostic but assumes linear elastic behavior within the material's limits.

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