Extrusion Force Calculator:
Enter the values of original cross-sectional area, Ao(in2), final cross-sectional area, Af(in2) and extrusion constant, k(lbf/in2) to determine the value of extrusion force, EF(lbf).
Extrusion Force Formula:
Extrusion force is the force required to push a material through a die to reshape it, based on the material’s properties and the change in cross-sectional area.
Extrusion force, EF(lbf) in pounds-force is equated by the product of original cross-sectional area, Ao(in2) in square inches, final cross-sectional area, Af(in2) in square inches, extrusion constant, k(lbf/in2) in pounds-force per square inch and log of ratio of Ao(in2) and Af(in2).
Extrusion force, EF(lbf) = Ao(in2) * k(lbf/in2) * ln(Ao(in2) / Af(in2))
EF(lbf) = extrusion force in pounds-force, lbf.
Ao(in2) = original cross-sectional area in square inches, in2.
k(lbf/in2) = extrusion constant in pounds-force per square inch, lbf/in2.
Af(in2) = final cross-sectional area in square inches, in2.
Extrusion Force Calculation:
1.Calculate the extrusion force required to extrude aluminum with an extrusion constant of 25,000 lbf/in2.The original cross-sectional area is 2.5in2and it is extruded to a final cross-sectional area of 1in2.
Given: Ao(in2) = 2.5in2, Af(in2) = 1in2, k(lbf/in2) = 25000 lbf/in2.
Extrusion force, EF(lbf) = Ao(in2) * k(lbf/in2) * ln(Ao(in2) / Af(in2))
EF(lbf) = 2.5 * 25000 * ln(2.5 / 1)
EF(lbf) = 62500 * ln(2.5)
EF(lbf) = 62500 * 0.916
EF(lbf) = 57268.17lbf.
2.Let’s use an example problem to calculate k(lbf/in2). Suppose we are given the following:
Given:
Extrusion Force, EF(lbf)=10,000 lbf,
Initial Cross-Sectional Area, Ao(in2)= 2in2.
Final Cross-Sectional Area, Af(in2)= 1in2.
Extrusion force, EF(lbf) = Ao(in2) * k(lbf/in2) * ln(Ao(in2) / Af(in2))
k(lbf/in2) = EF(lbf) / Ao(in2) * ln(Ao(in2) / Af(in2))
k(lbf/in2) = 10000 / 2 * ln(2/1)
k(lbf/in2) = 10000 / 2 * 0.693
k(lbf/in2) = 7215.04 lbf/in2.