Calculate extrusion ratio by dividing the billet’s initial cross-sectional area by the extruded product’s final area, or solve for either area.
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Extrusion Ratio Formula
The following formula is used to calculate the extrusion ratio:
Variables:
- ER is the extrusion ratio
- A₀ is the initial cross-sectional area (square inches)
- A₁ is the final cross-sectional area (square inches)
To calculate the extrusion ratio, divide the initial cross-sectional area by the final cross-sectional area.
What is an Extrusion Ratio?
The extrusion ratio is a dimensionless number that represents the amount of deformation a material undergoes during the extrusion process. It is calculated by dividing the initial cross-sectional area of the billet by the final cross-sectional area after extrusion. A higher extrusion ratio indicates a greater degree of deformation and can affect the mechanical properties of the extruded product.
How to Calculate Extrusion Ratio?
The following steps outline how to calculate the Extrusion Ratio.
- First, determine the initial cross-sectional area (A₀) in square inches.
- Next, determine the final cross-sectional area (A₁) in square inches.
- Use the formula ER = A₀ / A₁ to calculate the Extrusion Ratio (ER).
- After inserting the variables and calculating the result, check your answer with the calculator above.
Example Problem:
Use the following variables as an example problem to test your knowledge.
Initial cross-sectional area (A₀) = 4 square inches
Final cross-sectional area (A₁) = 1 square inch
ER = 4 / 1 = 4 (dimensionless).
