Moment due to Crippling Load at Section if Both Ends of Column are Hinged Calculator

Moment Formula:

\[ M_t = -P \times \delta \]

Moment of Section (Mt):

1. What is Moment due to Crippling Load at Section?

Definition: This calculator determines the bending moment at a section of a hinged column caused by crippling load and lateral deflection.

Purpose: It helps structural engineers analyze column stability and predict failure points under compressive loads.

2. How Does the Calculator Work?

The calculator uses the formula:

\[ M_t = -P \times \delta \]

Where:

\( M_t \) — Moment at section (N·m)
\( P \) — Column crippling load (N)
\( \delta \) — Deflection at section (m)

Explanation: The negative sign indicates the moment direction opposes the deflection. The tolerance value shows the acceptable variation range.

3. Importance of Moment Calculation

Details: Accurate moment calculation is crucial for:

Determining column stability
Preventing buckling failures
Designing appropriate reinforcement
Ensuring structural safety

4. Using the Calculator

Tips:

Enter the crippling load in Newtons (N)
Enter deflection in meters (m)
Set tolerance percentage (default ±5%)
All values must be positive

5. Frequently Asked Questions (FAQ)

Q1: What is column crippling load?
A: The maximum axial load a column can withstand before buckling occurs.

Q2: Why is the moment negative?
A: The negative sign indicates the restoring moment opposes the deflection direction.

Q3: How is deflection at section measured?
A: Through structural analysis or experimental measurement of lateral displacement.

Q4: What does the tolerance represent?
A: The acceptable variation in moment calculation due to material properties and measurement uncertainties.

Q5: Can this be used for fixed-end columns?
A: No, this calculator is specifically for hinged columns. Fixed-end columns have different boundary conditions.