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

Deflection Formula:

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

Deflection at Section (m):

1. What is Deflection at Section Calculator?

Definition: This calculator determines the lateral deflection at a section of a hinged column based on the applied moment and crippling load.

Purpose: It helps structural engineers analyze column behavior under load and predict deformation.

2. How Does the Calculator Work?

The calculator uses the formula:

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

Where:

\( \delta \) — Deflection at section (meters)
\( M_t \) — Moment at section (Newton-meters)
\( P \) — Column crippling load (Newtons)

Explanation: The negative sign indicates the deflection direction opposes the applied moment.

3. Importance of Deflection Calculation

Details: Accurate deflection prediction ensures structural integrity, serviceability, and compliance with building codes.

4. Using the Calculator

Tips: Enter the moment value, crippling load (must be non-zero), and optional tolerance percentage (default ±5%).

5. Frequently Asked Questions (FAQ)

Q1: What does negative deflection mean?
A: The negative sign indicates deflection in the opposite direction of the applied moment.

Q2: Why is the crippling load important?
A: It represents the axial load capacity of the column before buckling occurs.

Q3: What's the purpose of the tolerance field?
A: It calculates an acceptable range (±%) around the calculated deflection for practical applications.

Q4: Does this apply to fixed-end columns?
A: No, this specific formula is for columns with both ends hinged.

Q5: How to interpret zero deflection?
A: This occurs when either no moment is applied or the crippling load approaches infinity (theoretical case).