Nominal Tensile Stress In Round Shaft With Shoulder Fillet Calculator

Formula Used:

\[ \text{Nominal Stress} = \frac{4 \times \text{Load on Flat Plate}}{\pi \times \text{Smaller Diameter of Shaft with Fillet}^2} \] \[ \sigma_o = \frac{4 \times P}{\pi \times d_{small}^2} \]

Nominal Tensile Stress (σ_o):

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1. What is Nominal Tensile Stress?

Nominal Tensile Stress refers to the stress value calculated at the minimum cross-section of a round shaft with shoulder fillet under tensile loading. It provides a simplified stress value without considering stress concentration effects.

2. How Does the Calculator Work?

The calculator uses the formula:

\[ \sigma_o = \frac{4 \times P}{\pi \times d_{small}^2} \]

Where:

\( \sigma_o \) — Nominal tensile stress (Pa)
\( P \) — Load on flat plate (N)
\( d_{small} \) — Smaller diameter of shaft with fillet (m)
\( \pi \) — Mathematical constant (approximately 3.14159)

Explanation: This formula calculates the average tensile stress at the minimum cross-section of the shaft by dividing the applied load by the cross-sectional area.

3. Importance of Nominal Stress Calculation

Details: Calculating nominal stress is essential for preliminary design analysis, material selection, and determining basic stress levels before considering stress concentration factors in filleted shafts.

4. Using the Calculator

Tips: Enter the load value in Newtons and the smaller diameter in meters. Both values must be positive numbers greater than zero for accurate calculation.

5. Frequently Asked Questions (FAQ)

Q1: What is the difference between nominal stress and actual stress?
A: Nominal stress is calculated based on the original cross-section without considering stress concentration, while actual stress accounts for geometric discontinuities like fillets.

Q2: When should I use nominal stress calculations?
A: Nominal stress is useful for initial design calculations and material selection before performing more detailed stress analysis with concentration factors.

Q3: How does fillet radius affect stress concentration?
A: Smaller fillet radii create higher stress concentrations, while larger radii reduce stress concentration effects in shaft shoulders.

Q4: What units should I use for input values?
A: Use Newtons (N) for load and meters (m) for diameter to get results in Pascals (Pa) for consistency with SI units.

Q5: Can this calculator be used for compressive loads?
A: Yes, the same formula applies for compressive loads, though the stress value would be compressive rather than tensile.