Maximum deflection given max bending moment for strut subjected to uniformly distributed load Calculator

Formula:

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

Maximum Bending Moment In Column:

N·m

Load Intensity:

Column Length:

Axial Thrust:

Tolerance:

Maximum initial deflection (m):

1. What is Maximum Deflection Calculator?

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

Purpose: It helps structural engineers and designers evaluate deflection in structural members under combined loading conditions.

2. How Does the Calculator Work?

The calculator uses the formula:

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

Where:

\( C \) — Maximum initial deflection (meters)
\( M \) — Maximum bending moment in column (N·m)
\( q_f \) — Load intensity (Pascal)
\( l_{column} \) — Column length (meters)
\( P_{axial} \) — Axial thrust (Newtons)

Explanation: The formula accounts for both bending moment and distributed load effects on the strut's deflection under axial compression.

3. Importance of Deflection Calculation

Details: Accurate deflection calculation ensures structural integrity, prevents excessive deformation, and helps meet design code requirements.

4. Using the Calculator

Tips: Enter all required values in consistent units. The tolerance field (default ±5%) shows acceptable variation range for the result.

5. Frequently Asked Questions (FAQ)

Q1: What is axial thrust in this context?
A: Axial thrust is the compressive force acting along the length of the strut/column.

Q2: When would this calculation be needed?
A: When designing slender compression members subjected to both axial loads and transverse loading.

Q3: What's a typical tolerance for deflection calculations?
A: ±5% is common, but this depends on material properties and design requirements.

Q4: How does load intensity affect deflection?
A: Higher load intensity increases deflection quadratically with column length.

Q5: What if I get a negative deflection value?
A: Negative values indicate deflection direction (opposite the reference direction).