Diameter Of Side Crankshaft At Juncture Of Crankweb For Max Torque Calculator

Formula Used:

\[ d = \left( \frac{16}{\pi \cdot \tau} \cdot \sqrt{M_h^2 + M_v^2 + (P_t \cdot r)^2} \right)^{1/3} \]

Shear Stress in Shaft at Crank-web Joint (τ):

Horizontal Bending Moment at Crank-web Joint (Mh):

N·m

Vertical Bending Moment at Crank-web Joint (Mv):

N·m

Tangential Force at Crankpin (Pt):

Distance Between Crank Pin and Crankshaft (r):

Diameter of Crankshaft at Crank-web Joint (d):

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1. What is the Diameter of Crankshaft at Crank-web Joint?

The diameter of crankshaft at crank-web joint is a critical dimension that determines the strength and durability of the crankshaft at the connection point between the crank web and the main shaft. This measurement is essential for ensuring the crankshaft can withstand the maximum torque conditions.

2. How Does the Calculator Work?

The calculator uses the following formula:

\[ d = \left( \frac{16}{\pi \cdot \tau} \cdot \sqrt{M_h^2 + M_v^2 + (P_t \cdot r)^2} \right)^{1/3} \]

Where:

\( d \) — Diameter of crankshaft at crank-web joint (m)
\( \tau \) — Shear stress in shaft at crank-web joint (Pa)
\( M_h \) — Horizontal bending moment at crank-web joint (N·m)
\( M_v \) — Vertical bending moment at crank-web joint (N·m)
\( P_t \) — Tangential force at crankpin (N)
\( r \) — Distance between crank pin and crankshaft (m)
\( \pi \) — Mathematical constant pi (approximately 3.1416)

Explanation: This formula calculates the minimum required diameter of the crankshaft at the critical juncture to withstand the combined effects of shear stress and bending moments under maximum torque conditions.

3. Importance of Crankshaft Diameter Calculation

Details: Accurate calculation of crankshaft diameter is crucial for engine design and reliability. An undersized crankshaft may fail under maximum torque conditions, while an oversized one adds unnecessary weight and cost to the engine assembly.

4. Using the Calculator

Tips: Enter all values in the specified units. Shear stress should be in Pascals (Pa), bending moments in Newton-meters (N·m), force in Newtons (N), and distance in meters (m). All values must be positive numbers.

5. Frequently Asked Questions (FAQ)

Q1: What is the typical range for crankshaft diameters?
A: Crankshaft diameters vary significantly based on engine size and application, ranging from 30-50mm for small engines to 200-300mm for large industrial engines.

Q2: How does material strength affect the calculation?
A: Material strength is accounted for through the shear stress parameter (τ), which should be based on the yield strength of the crankshaft material with appropriate safety factors.

Q3: Why are both horizontal and vertical bending moments considered?
A: The crankshaft experiences complex loading conditions during operation. Both horizontal and vertical bending moments contribute to the total stress at the crank-web joint.

Q4: What safety factors should be applied?
A: Typical safety factors range from 2.0 to 4.0 for crankshaft design, depending on the application, material reliability, and operating conditions.

Q5: Can this formula be used for all types of crankshafts?
A: This formula is specifically designed for side crankshafts at maximum torque conditions. Different formulas may be needed for other crankshaft configurations or loading conditions.