Let?s consider a cylindrical bar or rod that has a Young's modulus of 1 pa. For now,
Question:
Let?s consider a cylindrical bar or rod that has a Young's modulus of 1 pa. For now, let's assume we can model the part in one-dimension, like we have been doing in class. Assume also that a finite element solution using one-dimensional, two-noded elements as been obtained for a rod (shown in figure). The area of each element is 0.001 m 2 , the lengths of each element are 0.05, 0.08 and 0.1 meters for elements 1, 2 and 3, respectively.
The displacements are as follows:
a) According to the finite element theory, plot the displacement u(x) vs. x.
b) According to the finite element theory plot the strain vs x.
c) Determine the B matrix for element e 2 .
d) Determine that strain energy in element e 1 .Physics
ISBN: 978-0077339685
2nd edition
Authors: Alan Giambattista, Betty Richardson, Robert Richardson