The contact stress between the cone and plate bore can be calculated by: 90 / cos (70) / (conical contact surface area of the 1/4" plate).
It's been ages since I've done a '3 dimensional' statics problem so I thought I'd ask here as I know the setup is simple but I'm just not 100% sure on the solution....
The problem:
A force is known (90 lbs.) pulling a cone shape through a hole that is also beveled at the same degree the cone is. When the edges come in contact they are parallel. How do I determine how the 90 lb force translates to the surfaces that are now contacting? The bevel of the cone is 70 degrees. The height of the hole is .25". I've attached a crappy sketch (section view).
The contact stress between the cone and plate bore can be calculated by: 90 / cos (70) / (conical contact surface area of the 1/4" plate).