Bending Stress In Centre Crankshaft At TDC Position Below Flywheel Given Shaft Diameter Calculator

Formula Used:

\[ \sigma_{bf} = \frac{32 \times M_{br}}{\pi \times d_s^3} \]

Bending Stress in Shaft Under Flywheel (σ_bf):

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1. What is Bending Stress in Shaft Under Flywheel?

Bending Stress in Shaft Under Flywheel is the bending stress (tends to bend the shaft) in the part of the crankshaft under the flywheel. It represents the internal resistance of the shaft material to bending deformation caused by external loads.

2. How Does the Calculator Work?

The calculator uses the bending stress formula:

\[ \sigma_{bf} = \frac{32 \times M_{br}}{\pi \times d_s^3} \]

Where:

\( \sigma_{bf} \) — Bending Stress in Shaft Under Flywheel (Pa)
\( M_{br} \) — Total Bending Moment in Crankshaft under Flywheel (N·m)
\( d_s \) — Diameter of Shaft under Flywheel (m)
\( \pi \) — Archimedes' constant (approximately 3.1416)

Explanation: This formula calculates the maximum bending stress in a circular shaft subjected to a bending moment, considering the shaft's geometry and material properties.

3. Importance of Bending Stress Calculation

Details: Accurate bending stress calculation is crucial for shaft design and analysis, ensuring structural integrity, preventing failure, and optimizing material usage in mechanical systems.

4. Using the Calculator

Tips: Enter the total bending moment in N·m and shaft diameter in meters. All values must be positive and valid for accurate results.

5. Frequently Asked Questions (FAQ)

Q1: What factors affect bending stress in shafts?
A: Bending stress is primarily affected by the magnitude of bending moment, shaft diameter, and material properties of the shaft.

Q2: How does shaft diameter affect bending stress?
A: Bending stress decreases with the cube of shaft diameter increase, making diameter a critical factor in stress reduction.

Q3: What are typical bending stress limits for shaft materials?
A: Stress limits vary by material, but typically range from 100-400 MPa for steel shafts depending on the application and safety factors.

Q4: When is this calculation particularly important?
A: This calculation is crucial in crankshaft design, power transmission systems, and any rotating machinery where shafts experience bending loads.

Q5: Are there limitations to this formula?
A: This formula assumes pure bending, homogeneous material, and circular cross-section. It may not account for stress concentrations, combined loading, or non-uniform materials.