Width Of Crank Web Of Centre Crankshaft At TDC Position Given Bending Moment In Crank Pin Calculator

Formula Used:

\[ w = 1.14 \times \left( \frac{32 \times M_p}{\pi \times \sigma_p} \right)^{1/3} \]

Width of Crank Web (w):

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1. What is the Width of Crank Web Formula?

The formula calculates the width of the crank web in a center crankshaft at top dead center (TDC) position based on the bending moment and bending stress in the crankpin. It ensures proper mechanical design and structural integrity of the crankshaft.

2. How Does the Calculator Work?

The calculator uses the formula:

\[ w = 1.14 \times \left( \frac{32 \times M_p}{\pi \times \sigma_p} \right)^{1/3} \]

Where:

\( w \) — Width of Crank Web (m)
\( M_p \) — Bending Moment at Central Plane of Crankpin (N·m)
\( \sigma_p \) — Bending Stress in Crankpin (Pa)
\( \pi \) — Mathematical constant pi (approximately 3.1416)
1.14 — Empirical coefficient for the calculation

Explanation: The formula derives the required width of the crank web to withstand the bending moment while maintaining acceptable stress levels in the crankpin.

3. Importance of Crank Web Width Calculation

Details: Proper calculation of crank web width is crucial for ensuring the crankshaft's mechanical strength, durability, and performance under operational loads. It prevents mechanical failure and extends the engine's lifespan.

4. Using the Calculator

Tips: Enter the bending moment in Newton-meters (N·m) and bending stress in Pascals (Pa). Both values must be positive and non-zero for accurate calculation.

5. Frequently Asked Questions (FAQ)

Q1: Why is the empirical coefficient 1.14 used in the formula?
A: The coefficient 1.14 is derived from experimental data and engineering practice to account for real-world conditions and safety factors in crankshaft design.

Q2: What are typical values for bending stress in crankpins?
A: Typical bending stress values range from 50-150 MPa (50,000,000-150,000,000 Pa) depending on the material and application, but always consult specific engineering standards.

Q3: How does crank web width affect engine performance?
A: Proper crank web width ensures structural integrity, reduces vibration, and maintains alignment, contributing to smoother engine operation and reduced wear.

Q4: Can this formula be used for all types of crankshafts?
A: This formula is specifically designed for center crankshafts at TDC position. Other crankshaft configurations may require different calculations.

Q5: What units should be used for input values?
A: Bending moment should be in Newton-meters (N·m) and bending stress in Pascals (Pa). Ensure consistent units for accurate results.