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Outer Diameter Given Ratio Of Diameters Calculator

Formula Used:

\[ Outer Diameter of Hollow Shaft = \frac{Inner Diameter of Hollow Shaft}{Ratio of Inner to Outer Diameter of Hollow Shaft} \] \[ d_o = \frac{d_i}{C} \]

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1. What is Outer Diameter Given Ratio Of Diameters?

This calculation determines the outer diameter of a hollow shaft when the inner diameter and the ratio of inner to outer diameter are known. This is essential in mechanical engineering for designing shafts with specific strength and weight requirements.

2. How Does the Calculator Work?

The calculator uses the formula:

\[ d_o = \frac{d_i}{C} \]

Where:

Explanation: The formula calculates the outer diameter by dividing the inner diameter by the ratio between inner and outer diameters.

3. Importance of Outer Diameter Calculation

Details: Accurate calculation of outer diameter is crucial for mechanical design, ensuring proper fit, strength requirements, and material optimization in hollow shaft applications.

4. Using the Calculator

Tips: Enter inner diameter in meters and the ratio value. Both values must be positive numbers greater than zero for valid calculation.

5. Frequently Asked Questions (FAQ)

Q1: Why is the ratio of diameters important in shaft design?
A: The ratio determines the wall thickness and affects the shaft's torsional strength, weight, and material usage efficiency.

Q2: What are typical ratio values used in practice?
A: Ratio values typically range from 0.5 to 0.9 depending on the application requirements and material properties.

Q3: How does outer diameter affect shaft performance?
A: Larger outer diameters generally provide greater torsional strength and stiffness, while smaller diameters reduce weight and material cost.

Q4: Can this formula be used for non-circular hollow sections?
A: No, this formula is specifically for circular hollow shafts. Different formulas apply to other cross-sectional shapes.

Q5: What units should be used for the inputs?
A: The inner diameter should be in meters, and the ratio is dimensionless. Consistent units are essential for accurate results.

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