How to Use This Calculator
- Enter the applied force (F) in Newtons (N)
- Enter the pin diameter (d) in millimeters (mm)
- Enter the shear area (A_s) in square millimeters (mm²)
- Enter the bearing area (A_b) in square millimeters (mm²)
- Click the "Calculate" button to compute the pin shear stress and bearing area stress
Understanding the Calculations
The calculator performs two primary calculations:
- Pin Shear Stress (τ): This measures the stress within the pin due to shear forces. It's calculated as the applied force divided by the shear area. The formula is τ = F / A_s, where τ is the shear stress in MPa, F is the force in N, and A_s is the shear area in mm².
- Bearing Stress (σ): This measures the compressive stress between the pin and the connected parts. It's calculated as the applied force divided by the bearing area. The formula is σ = F / A_b, where σ is the bearing stress in MPa, F is the force in N, and A_b is the bearing area in mm².
Applications
This calculator is useful for engineers and designers working with mechanical joints, including:
- Pin connections in structural components
- Fasteners in mechanical assemblies
- Shaft and hub connections
- Any application involving pin-based stress analysis
Example
Suppose you have a pin connection with an applied force of 5000 N, a pin diameter of 10 mm, a shear area of 80 mm², and a bearing area of 120 mm²:
Pin Shear Stress = 5000 N / 80 mm² = 62.5 MPa
Bearing Stress = 5000 N / 120 mm² = 41.67 MPa