Minimum Required Transition Radius Formula According to AS1403

Formula Overview

The minimum required transition radius ( R_t ) for a rotating shaft based on two different diameters can be calculated using the following formula according to AS1403:

[ R_t = \frac{(D_1 + D_2)}{2} \times C ]

Where:

• ( R_t ) = Minimum required transition radius
• ( D_1 ) = Diameter of the first shaft section
• ( D_2 ) = Diameter of the second shaft section
• ( C ) = Constant depending on the type of material and application (usually provided in AS1403 guidelines).

Excel Formula

Assuming:

• Cell A1 contains the diameter ( D_1 ).
• Cell B1 contains the diameter ( D_2 ).
• Cell C1 contains the constant ( C ).

The Excel formula for calculating the minimum required transition radius is:

=(A1 + B1) / 2 * C1

Explanation of the Formula

1. Input Values:

   • The formula starts by adding the diameters ( D_1 ) and ( D_2 ).
   • It divides the sum by 2 to calculate the average diameter.

2. Multiplication by Constant:

   • The average diameter is then multiplied by the constant ( C ).
   • This operation adjusts the radius based on material and design factors as specified in AS1403.

Practical Example

Given Data:

• ( D_1 ) (in A1): 100 mm
• ( D_2 ) (in B1): 60 mm
• ( C ) (in C1): 1.5 (example constant)

Implementation in Excel:

1. Input the values:

   • A1: 100
   • B1: 60
   • C1: 1.5

2. Calculate the Minimum Required Transition Radius:

   • In cell D1, enter the formula:

   =(A1 + B1) / 2 * C1

Result:

• The value in cell D1 will display the calculated minimum required transition radius based on the provided diameters and constant.

Conclusion

By utilizing the given Excel formula, users can effectively calculate the minimum required transition radius for rotating shafts according to AS1403. Understanding this formula will aid in meeting engineering standards and ensuring safe operational conditions.

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