Answers to FEA Exercises

Problem 1

A^c = 3.14 (0.6/2)² = 0.28 in²

L^c = b / Cos(A) = 10 / Cos(30) = 11.5"

A^cE^c / L^c = 0.28 x 30 x 10⁶ / 11.5 = 730 x 10⁶

Problem 2

U_b = 150 / Cos(30) = 173.2 lb-f

We know U_a = -U_b

Considering the direction of the load, lets say U_a = 173.2, and U_b = -173.2

Thus,

from which we get,

737x10³u_a - 737x10³u_b = 173.2

and

-737x10³u_a + 737x10³u_b = -173.2

Solving for the deformation (u_a - u_b), we get

(u_a - u_b) = 0.24x10^-3"