Consider the spring assembly shown in Fig. ( a ) Obtain the global stiffness matrix for the
Question:
Consider the spring assembly shown in Fig.
a Obtain the global stiffness matrix for the full spring assembly. Take the determinant
of the matrix you obtained you can do this using software, eg Matlab or NumPy
and report what you get. Does your result confirm that the global stiffness matrix is
singular? Recall if the determinant of a matrix is zero, the matrix is singular.
b Write the full matrix equations, substituting in the displacement boundary conditions
and prescribed load.
c Write the reduced matrix equations in terms of only the unknown nodal displacements.
Take the determinant of the reduced system matrix and verify that the reduced stiffness
matrix is not singular. Solve for the nodal displacements.
d Solve for the reaction forces.
Statistics The Art And Science Of Learning From Data
ISBN: 9780321755940
3rd Edition
Authors: Alan Agresti, Christine A. Franklin