1. The problem statement, all variables and given/known data
Calculate compressive strength:
Fracture load = 56000lb
Radius=3 in
Compressive strength = (F/pi*(r)^2)sectional area
After calculation:
CS=630psi
I was wondering if I did it right. Thanks
To calculate the compressive strength, you need to divide the fracture load by the sectional area. In this case, the sectional area can be determined using the formula for the area of a circle, which is π * r^2.
Given:
Fracture load = 56000 lb
Radius = 3 in
First, you need to convert the radius from inches to feet, since pound-force (lb) is the unit for force and square feet (ft^2) is the unit for area.
1 inch = 1/12 feet
So, the radius in feet would be:
3 in * (1/12 ft/in) = 1/4 ft
Next, calculate the sectional area using the formula:
Sectional area = π * (radius)^2
Sectional area = π * (1/4 ft)^2
Now, substitute the fracture load and sectional area into the formula for compressive strength:
Compressive strength = Fracture load / Sectional area
Compressive strength = 56000 lb / (π * (1/4 ft)^2)
Evaluate this expression and you should get the result for the compressive strength in the correct units.