Shear stress in bolt given torque resisted by one bolt Calculator

Shear Stress Formula:

\[ f_s = \frac{8 \times T_{bolt}}{\pi \times d_{bolt}^2 \times d_{pitch}} \]

Torque resisted by bolt:

N·m

Diameter of Bolt:

Diameter of bolt pitch circle:

Tolerance:

Shear Stress in Bolt (Pa):

1. What is Shear Stress in Bolt?

Definition: Shear stress in a bolt is the force per unit area tending to cause deformation by slippage along planes parallel to the imposed stress when torque is applied.

Purpose: This calculation helps engineers determine if a bolt can withstand the applied torque without failing in shear.

2. How Does the Calculator Work?

The calculator uses the formula:

\[ f_s = \frac{8 \times T_{bolt}}{\pi \times d_{bolt}^2 \times d_{pitch}} \]

Where:

\( f_s \) — Shear stress in bolt (Pascals)
\( T_{bolt} \) — Torque resisted by bolt (Newton-meters)
\( d_{bolt} \) — Diameter of bolt (meters)
\( d_{pitch} \) — Diameter of bolt pitch circle (meters)

Explanation: The formula calculates the shear stress distribution in the bolt when resisting a specific torque.

3. Importance of Shear Stress Calculation

Details: Proper calculation ensures bolts are sized correctly to handle applied torques without shear failure, which is critical for structural integrity and safety.

4. Using the Calculator

Tips: Enter the torque value, bolt diameter, pitch circle diameter, and tolerance percentage (default ±5%). All dimensional values must be in meters.

5. Frequently Asked Questions (FAQ)

Q1: What is the typical tolerance for bolt shear stress calculations?
A: A ±5% tolerance is commonly used, but this may vary based on application requirements and safety factors.

Q2: How does bolt diameter affect shear stress?
A: Shear stress decreases with the square of bolt diameter, so larger diameter bolts can handle much higher torques.

Q3: What is the bolt pitch circle diameter?
A: This is the diameter of the circle that passes through the center of all bolts in a bolt pattern.

Q4: When would I need to adjust the tolerance?
A: Adjust tolerance for critical applications where tighter control is needed, or when material properties have significant variability.

Q5: How do I convert units for this calculator?
A: Ensure all inputs are in consistent SI units (N·m for torque, m for diameters) for accurate results in Pascals.