Elastic modulus given maximum stress for strut subjected to uniformly distributed load Calculator

Formula Used:

\[ \varepsilon_{column} = \frac{M}{\sigma_{bmax} - \left(\frac{P_{axial}}{A_{sectional}}\right)} \]

Maximum Bending Moment In Column:

N·m

Maximum bending stress:

Axial Thrust:

Column Cross Sectional Area:

m²

Tolerance:

Modulus of Elasticity Column:

1. What is Elastic Modulus for Strut Under Distributed Load?

Definition: This calculator determines the elastic modulus of a column/strut subjected to both axial thrust and uniformly distributed lateral load when the maximum stress is known.

Purpose: It helps structural engineers verify material properties or design requirements when analyzing struts under combined loading conditions.

2. How Does the Calculator Work?

The calculator uses the formula:

\[ \varepsilon_{column} = \frac{M}{\sigma_{bmax} - \left(\frac{P_{axial}}{A_{sectional}}\right)} \]

Where:

\( \varepsilon_{column} \) — Modulus of Elasticity (Pa)
\( M \) — Maximum Bending Moment (N·m)
\( \sigma_{bmax} \) — Maximum bending stress (Pa)
\( P_{axial} \) — Axial Thrust (N)
\( A_{sectional} \) — Cross-sectional Area (m²)

Explanation: The formula accounts for both bending and axial stresses in the strut to determine the required material stiffness.

3. Importance of Elastic Modulus Calculation

Details: Proper calculation ensures the strut material can withstand combined loading without excessive deformation or failure.

4. Using the Calculator

Tips: Enter all required values in consistent units. The tolerance field (default ±5%) helps account for material variations and safety factors.

5. Frequently Asked Questions (FAQ)

Q1: What is a typical elastic modulus for structural steel?
A: About 200 GPa (200 × 10⁹ Pa) for most structural steels.

Q2: When would I need to adjust the tolerance?
A: Increase tolerance for materials with higher variability or when higher safety margins are required.

Q3: How do I determine the maximum bending moment?
A: Use structural analysis methods based on load distribution and support conditions.

Q4: What if the denominator becomes zero or negative?
A: This indicates the stress conditions exceed material capacity - reconsider your design parameters.

Q5: Does this account for buckling effects?
A: No, this is a stress-based calculation. Buckling requires separate analysis.