Maximum stress for strut subjected to compressive axial and uniformly distributed load Calculator

Maximum Bending Stress Formula:

\[ \sigma_{bmax} = \frac{P_{axial}}{A_{sectional}} + \frac{M \times c}{I} \]

Axial Thrust (P_axial):

Cross Sectional Area (A_sectional):

m²

Maximum Bending Moment (M):

N·m

Distance from Neutral Axis (c):

Moment of Inertia (I):

m⁴

Safety Factor:

Maximum Bending Stress (σ_bmax): Pa

With Safety Factor: Pa

1. What is Maximum Stress for Strut Calculator?

Definition: This calculator determines the maximum bending stress in a strut subjected to both compressive axial load and uniformly distributed load.

Purpose: It helps engineers and designers evaluate structural integrity and safety of struts under combined loading conditions.

2. How Does the Calculator Work?

The calculator uses the formula:

\[ \sigma_{bmax} = \frac{P_{axial}}{A_{sectional}} + \frac{M \times c}{I} \]

Where:

\( \sigma_{bmax} \) — Maximum bending stress (Pa)
\( P_{axial} \) — Axial thrust (N)
\( A_{sectional} \) — Cross-sectional area (m²)
\( M \) — Maximum bending moment (N·m)
\( c \) — Distance from neutral axis to extreme point (m)
\( I \) — Moment of inertia (m⁴)

Explanation: The formula combines the direct compressive stress from axial load with the bending stress from the moment.

3. Importance of Maximum Stress Calculation

Details: Proper stress calculation ensures structural safety, prevents buckling, and helps in material selection.

4. Using the Calculator

Tips: Enter all required parameters including axial thrust, cross-sectional area, bending moment, distance from neutral axis, moment of inertia, and safety factor (default 1.5 ±5%). All values must be > 0.

5. Frequently Asked Questions (FAQ)

Q1: What is the safety factor for?
A: The safety factor accounts for uncertainties in loading, material properties, and construction. ±5% represents typical variation.

Q2: How do I determine the moment of inertia?
A: It depends on the cross-section shape. For common shapes, use standard formulas or CAD software.

Q3: What units should I use?
A: Consistent SI units are required (N, m, m², m⁴) for accurate results in Pascals.

Q4: When would this calculation be needed?
A: For structural elements like columns, beams, or struts under combined axial and bending loads.

Q5: What if my stress exceeds material yield strength?
A: Consider increasing cross-section, changing material, or reducing loads to maintain safety.