Maximum bending moment given elastic modulus for strut subjected to uniformly distributed load Calculator

Formula Used:

\[ M = (\sigma_{bmax} - (P_{axial}/A_{sectional})) \times \varepsilon_{column} \]

Maximum bending stress (σ_bmax):

Axial Thrust (P_axial):

Column Cross Sectional Area (A_sectional):

m²

Modulus of Elasticity (ε_column):

Tolerance:

Maximum Bending Moment (M):

1. What is Maximum Bending Moment Calculation?

Definition: This calculator determines the maximum bending moment in a strut or column subjected to uniformly distributed load, considering the elastic modulus.

Purpose: It helps structural engineers and designers ensure structural integrity by calculating critical bending moments.

2. How Does the Calculator Work?

The calculator uses the formula:

\[ M = (\sigma_{bmax} - (P_{axial}/A_{sectional})) \times \varepsilon_{column} \]

Where:

\( M \) — Maximum bending moment (N·m)
\( \sigma_{bmax} \) — Maximum bending stress (Pa)
\( P_{axial} \) — Axial thrust (N)
\( A_{sectional} \) — Column cross-sectional area (m²)
\( \varepsilon_{column} \) — Modulus of elasticity (Pa)

Explanation: The formula calculates bending moment by adjusting for axial load effects and material properties.

3. Importance of Maximum Bending Moment Calculation

Details: Accurate calculation ensures structural safety, prevents overloading, and helps in proper material selection.

4. Using the Calculator

Tips: Enter all required parameters including optional tolerance percentage (±5% default). All values must be positive.

5. Frequently Asked Questions (FAQ)

Q1: What is axial thrust in this context?
A: It's the compressive force acting along the axis of the column or strut.

Q2: Why include modulus of elasticity?
A: It accounts for the material's stiffness and how it deforms under load.

Q3: What does the tolerance percentage mean?
A: It provides a range around the calculated value to account for material variations and safety factors.

Q4: How do I find the cross-sectional area?
A: For simple shapes, use geometric formulas. For complex sections, use CAD software or reference tables.

Q5: Can this be used for beams as well as columns?
A: Yes, the principle applies to any structural member subjected to combined bending and axial loads.