These estimates vary, but a commonly cited value is around 1,000 to 1,200 pounds per square inch (psi). This is considerably stronger than the bite force of a modern-day lion, which is estimated to be around 650 psi. However, it is still weaker than the bite force of a modern-day tiger, which is estimated to be around 1,500 to 2,000 psi.
It's important to note that these estimates are just approximations and may vary depending on the specific Smilodon species and other factors. Additionally, the bite force of a Smilodon may have been more specialized for delivering precise, penetrating bites rather than generating immense crushing force.