Tensile Force in Round Shaft with Shoulder Fillet given Nominal Stress Calculator

Formula Used:

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

Load on Flat Plate (P):

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1. What is Tensile Force in Round Shaft with Shoulder Fillet?

Tensile force in a round shaft with shoulder fillet refers to the axial load applied to the shaft that causes tension, considering the stress concentration at the fillet. The nominal stress is used to calculate this force based on the smaller cross-sectional diameter.

2. How Does the Calculator Work?

The calculator uses the formula:

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

Where:

\( P \) — Load on Flat Plate (N)
\( \sigma_o \) — Nominal Stress (Pa)
\( d_{\text{small}} \) — Smaller Diameter of Shaft with Fillet (m)
\( \pi \) — Archimedes' constant (≈ 3.1416)

Explanation: This formula calculates the tensile force based on the nominal stress and the cross-sectional area of the smaller diameter section of the shaft.

3. Importance of Tensile Force Calculation

Details: Accurate calculation of tensile force is crucial for designing mechanical components, ensuring structural integrity, and preventing failure under load. It helps engineers determine the maximum load a shaft can withstand without exceeding material limits.

4. Using the Calculator

Tips: Enter nominal stress in Pascals (Pa) and smaller diameter in meters (m). Both values must be positive numbers. The calculator will compute the tensile force in Newtons (N).

5. Frequently Asked Questions (FAQ)

Q1: What is nominal stress?
A: Nominal stress is the stress value calculated at the minimum cross-section of the shaft, without considering stress concentration factors from the fillet.

Q2: Why use the smaller diameter?
A: The smaller diameter represents the critical cross-section where stress concentration occurs, making it the determining factor for calculating the maximum tensile force.

Q3: How does the fillet affect the calculation?
A: While the formula uses nominal stress (which may already account for some effects), the fillet creates stress concentration that should be considered separately in detailed designs.

Q4: What units should I use?
A: Use consistent SI units: Pascals for stress, meters for diameter, which will yield Newtons for force.

Q5: Can this calculator be used for compressive forces?
A: The formula is fundamentally the same for tensile and compressive forces, as both involve axial loading. However, buckling considerations may apply for compression.