Diameter Of Side Crankshaft Under Flywheel At Max Torque Given Moments Calculator

Formula Used:

\[ Ds = \left( \frac{16}{\pi \cdot \tau} \cdot \sqrt{Mbr^2 + Mt^2} \right)^{1/3} \]

Shear Stress in Crankshaft Under Flywheel (τ):

Total Bending Moment in Crankshaft Under Flywheel (Mbr):

N·m

Torsional Moment at Crankshaft Under Flywheel (Mt):

N·m

Diameter of Shaft Under Flywheel (Ds):

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

This calculation determines the appropriate diameter of the crankshaft section located under the flywheel based on the combined effects of bending and torsional moments, ensuring the shaft can withstand the applied stresses without failure.

2. How Does the Calculator Work?

The calculator uses the formula:

\[ Ds = \left( \frac{16}{\pi \cdot \tau} \cdot \sqrt{Mbr^2 + Mt^2} \right)^{1/3} \]

Where:

\( Ds \) — Diameter of shaft under flywheel (m)
\( \tau \) — Shear stress in crankshaft under flywheel (Pa)
\( Mbr \) — Total bending moment in crankshaft under flywheel (N·m)
\( Mt \) — 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 using the square root of the sum of their squares, then calculates the required shaft diameter to withstand these combined stresses.

3. Importance of Shaft Diameter Calculation

Details: Proper shaft diameter calculation is crucial for ensuring mechanical integrity, preventing failure under maximum torque conditions, and optimizing the design for weight and performance in internal combustion engines and other rotating machinery.

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 the combined bending and torsional stresses encountered during operation, particularly under maximum torque conditions.

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

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

Q4: What safety factors should be considered?
A: Engineering practice typically includes safety factors to account for material variations, dynamic loading, and unexpected operating conditions.

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