Hollow Oval - Geometric Properties
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The above hollow oval property calculator is based on the provided equations and does not account for all mathematical limitations. The calculator has been provided with educational purposes in mind and should be used accordingly. Unit conversion
Need an 
spreadsheet for designing the above shape, click here!
Notation and Units
Metric and Imperial Units
The above formulas may be used with both imperial and metric units. As with all calculations care must be taken to keep consistent units throughout. Examples of units which are typically adopted are outlined below:
Notation
- A = Geometric Area, in2 or mm2
- a = Largest overall width of shape, in or mm
- a1 = Largest inside width of shape, in or mm
- b = Smallest overall width of shape, in or mm
- b1 = Smallest inside width of shape, in or mm
- C = Distance to Centroid, in or mm
- I = Second moment of area, in4 or mm4
- Ji = Polar Moment of Inertia, in4 or mm4
- J = Torsional Constant, in4 or mm4
- K = Radius of Gyration, in or mm
- P = Perimeter of shape, in or mm
- Z = Elastic Section Modulus, in3 or mm3
Online Hollow Oval Property Calculator
Using the structural engineering calculator located at the top of the page (simply click on the the "show/hide calculator" button) the following properties can be calculated:
- Area of a Hollow Oval
- Perimeter of a Hollow Oval
- Centroid of a Hollow Oval
- Second Moment of Area (or moment of inertia) of a Hollow Oval
- Polar Moment of Inertia of a Hollow Oval
- Radius of Gyration of a Hollow Oval
- Elastic Section Modulus of a Hollow Oval
- Plastic Section Modulus of a Hollow Oval