Maximum Bending Stress In Crank Web Of Centre Crankshaft At TDC Position Given Bending Moment Calculator

Formula Used:

\[ \sigma_w = \frac{M_b \times 6}{w \times t^2} \]

Bending Moment at Central Plane of Crank Web (M_b):

N·m

Width of Crank Web (w):

Thickness of Crank Web (t):

Bending Stress in Crankweb (σ_w):

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1. What is Bending Stress in Crankweb?

Bending Stress in Crankweb is the stress induced in the crank web due to the bending moment acting onto the crank web. It's a critical parameter in crankshaft design and analysis, particularly at the Top Dead Center (TDC) position where maximum stresses often occur.

2. How Does the Calculator Work?

The calculator uses the bending stress formula:

\[ \sigma_w = \frac{M_b \times 6}{w \times t^2} \]

Where:

\( \sigma_w \) — Bending Stress in Crankweb (Pa)
\( M_b \) — Bending Moment at Central Plane of Crank Web (N·m)
\( w \) — Width of Crank Web (m)
\( t \) — Thickness of Crank Web (m)

Explanation: The formula calculates the maximum bending stress in a rectangular section (crank web) subjected to a bending moment. The factor 6 comes from the section modulus calculation for a rectangular cross-section.

3. Importance of Bending Stress Calculation

Details: Accurate bending stress calculation is crucial for crankshaft design to ensure structural integrity, prevent fatigue failure, and optimize material usage in engine components.

4. Using the Calculator

Tips: Enter bending moment in N·m, width and thickness in meters. All values must be positive and non-zero. Ensure consistent units for accurate results.

5. Frequently Asked Questions (FAQ)

Q1: Why is bending stress important in crankshaft design?
A: Bending stress is critical because excessive stress can lead to fatigue failure, cracking, or permanent deformation of the crankshaft, which could cause catastrophic engine failure.

Q2: What is the significance of the TDC position?
A: At Top Dead Center position, the crankshaft experiences maximum combustion forces, making this position critical for stress analysis and design validation.

Q3: How does crank web geometry affect bending stress?
A: Both width and thickness significantly affect bending stress. Increasing either dimension reduces bending stress, with thickness having a squared effect due to the t² term in the denominator.

Q4: What are typical acceptable bending stress values?
A: Acceptable values depend on the material's yield strength and safety factors. Typically, bending stresses should be well below the material's yield strength with appropriate safety margins.

Q5: Can this formula be used for other applications?
A: Yes, this formula applies to any rectangular cross-section subjected to bending, though specific crankshaft applications may require additional considerations for stress concentrations and fatigue analysis.