- 1
Write all the information you have for your problem on the paper. For a three-dimensional problem, you should have a force vector and some definition for the object you are analyzing at a minimum. If possible, draw a sketch of the problem. In the example, the object is a cylinder with a radius of 0.5m. The force is 20 kilonewtons (kN) acting at the center of the top surface at a 30 degree angle from perpendicular. The source is the top surface, which is flat and perpendicular to the centerline of the cylinder. - 2). Convert the force vector into its axial and tangential components. The conversions for this example are:
Axial = F(a) = F*cos(alpha) = 20*cos(30) = 17.3 kN
Tangential = F(t) = F*sin(alpha) = 20*sin(30) = 10 kN - 3). Calculate the cross sectional area perpendicular to the axial component. In this example:
A = (pi)*r^2 = (pi)*0.5^2 = 0.785 m^2 - 4). Divide the axial force by the cross-sectional area.
P = F(a)/A = 17.3 N / 0.785 m^2 = 22.04 kPa
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