Bending Stress In Central Plane Of Crankweb Given Bending Moment Calculator

Formula Used:

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

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

N·m

Thickness of Crank Web (t):

Width of Crank Web (w):

Bending Stress in Crankweb (σb):

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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 bending moments acting on it. The crank web is the portion of a crank between the crankpin and the shaft, and it experiences various forces during engine operation.

2. How Does the Calculator Work?

The calculator uses the bending stress formula:

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

Where:

\( \sigma_b \) — Bending stress in crankweb (Pa)
\( M_b \) — Bending moment at central plane of crank web (N·m)
\( t \) — Thickness of crank web (m)
\( w \) — Width of crank web (m)

Explanation: This formula calculates the maximum bending stress in a rectangular cross-section beam, which is applicable to crank web design calculations.

3. Importance of Bending Stress Calculation

Details: Calculating bending stress in crankwebs is crucial for engine design and reliability analysis. It helps ensure that the crank web can withstand operational loads without failure or excessive deformation.

4. Using the Calculator

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

5. Frequently Asked Questions (FAQ)

Q1: What is the typical range of bending stress in crankwebs?
A: Bending stress values vary significantly based on engine size and design, but typically range from 50-200 MPa for most automotive applications.

Q2: How does material selection affect bending stress calculations?
A: Material properties (yield strength, ultimate strength) determine the safety factor. The calculated stress must be below the material's yield strength with an appropriate safety margin.

Q3: Are there other stress components to consider in crank web design?
A: Yes, besides bending stress, torsional stress, compressive stress, and combined stress states should be considered for comprehensive design analysis.

Q4: What safety factors are typically used in crank web design?
A: Safety factors typically range from 2.0 to 4.0 depending on the application, material properties, and loading conditions.

Q5: Can this formula be used for other structural components?
A: Yes, this bending stress formula applies to any rectangular cross-section beam subjected to bending moments.