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Axial Thrust given Maximum Bending Moment for Strut Subjected to Uniformly Distributed Load Calculator

Axial Thrust Formula:

\[ P_{axial} = \frac{-M - \frac{q_f \times l_{column}^2}{8}}{C} \]

Nm
Pa
m
m
%

1. What is Axial Thrust Calculator?

Definition: This calculator determines the axial thrust in a strut or column subjected to uniformly distributed load, considering maximum bending moment and initial deflection.

Purpose: Helps structural engineers analyze column stability and design appropriate supports.

2. How Does the Calculator Work?

The calculator uses the formula:

\[ P_{axial} = \frac{-M - \frac{q_f \times l_{column}^2}{8}}{C} \]

Where:

  • \( P_{axial} \) — Axial thrust (N)
  • \( M \) — Maximum bending moment (Nm)
  • \( q_f \) — Load intensity (Pa)
  • \( l_{column} \) — Column length (m)
  • \( C \) — Maximum initial deflection (m)

Explanation: The formula accounts for both bending moment and distributed load effects on the column's axial capacity.

3. Importance of Axial Thrust Calculation

Details: Proper calculation ensures structural stability and prevents buckling failures in columns under combined loading.

4. Using the Calculator

Tips: Enter all required parameters including optional tolerance percentage (default ±5%). Deflection must be > 0.

5. Frequently Asked Questions (FAQ)

Q1: What is typical initial deflection value?
A: For most structural columns, initial deflection ranges from 0.01m to 0.05m depending on material and slenderness ratio.

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

Q3: What if I get negative axial thrust?
A: Negative values indicate compressive forces, which is typical for columns. The sign represents direction of force.

Q4: How does load intensity affect results?
A: Higher load intensity significantly increases the axial thrust required to maintain stability.

Q5: When would bending moment be zero?
A: For perfectly centered axial loads on ideally straight columns, though this is rare in practice.

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