Diameter Of Centre Crankshaft Under Flywheel At Max Torque Given Bending And Torsional Moment Calculator

Formula Used:

\[ d_s = \left( \frac{16}{\pi \cdot \tau} \cdot \sqrt{(M_b)^2 + (M_t)^2} \right)^{1/3} \]

Shear Stress in Crankshaft Under Flywheel (τ):

Bending Moment at Crankshaft Under Flywheel (M_b):

N·m

Torsional Moment at Crankshaft Under Flywheel (M_t):

N·m

Diameter of Shaft Under Flywheel (d_s):

Unit Converter ▲

Unit Converter ▼

From:	To:

1. What is the Diameter of Shaft Under Flywheel Calculation?

The diameter of shaft under flywheel calculation determines the appropriate diameter for the crankshaft section beneath the flywheel based on combined bending and torsional moments, ensuring structural integrity under maximum torque conditions.

2. How Does the Calculator Work?

The calculator uses the following formula:

\[ d_s = \left( \frac{16}{\pi \cdot \tau} \cdot \sqrt{(M_b)^2 + (M_t)^2} \right)^{1/3} \]

Where:

\( d_s \) — Diameter of shaft under flywheel (m)
\( \tau \) — Shear stress in crankshaft under flywheel (Pa)
\( M_b \) — Bending moment at crankshaft under flywheel (N·m)
\( M_t \) — Torsional moment at crankshaft under flywheel (N·m)
\( \pi \) — Mathematical constant pi (approximately 3.14159)

Explanation: This formula combines the effects of both bending and torsional moments to determine the minimum shaft diameter required to withstand the applied stresses.

3. Importance of Shaft Diameter Calculation

Details: Proper shaft diameter calculation is crucial for ensuring mechanical strength, preventing failure under maximum torque conditions, and maintaining the structural integrity of the crankshaft assembly.

4. Using the Calculator

Tips: Enter shear stress in Pascals, bending moment in Newton-meters, and torsional moment in Newton-meters. All values must be positive numbers with shear stress greater than zero.

5. Frequently Asked Questions (FAQ)

Q1: Why is this calculation important for crankshaft design?
A: This calculation ensures the crankshaft can withstand combined bending and torsional stresses without failure, particularly under maximum torque conditions.

Q2: What factors affect the required shaft diameter?
A: The required diameter depends on the material's shear stress capacity and the magnitude of applied bending and torsional moments.

Q3: How does the flywheel affect crankshaft stresses?
A: The flywheel's mass and position create additional bending and torsional moments that must be accounted for in the shaft design.

Q4: Are there safety factors to consider?
A: Yes, engineering designs typically include safety factors beyond the calculated minimum diameter to account for unexpected loads and material variations.

Q5: Can this formula be used for other shaft applications?
A: While specifically derived for crankshafts under flywheels, the formula can be adapted for other shaft designs experiencing combined bending and torsion.