A beam column of length ** L** and cross section area

(99) |

The beam is modeled with one shell element. Different values of the spring stiffness parameter are chosen. Figure (2.11) shows the relation between the load parameter and the deflection parameter which is found to be identical to the analytical solution. It should be pointed out that if the spring stiffness parameter is less than or equal to

The same problem is also tested in dynamic analysis. The equation of motion is written for constant applied force ** W** which gives

(100) |

where . The series solution to the equation of motion gives

w(t) | = | ||

- | |||

+ | |||

+ | (101) |

The first term of the solution represent the rigid motion of the beam column with no contribution from its elasticity. This term is found to be dominant when is relatively small. Figure (2.12) shows a comparison between the response time history of the analytical solution and that obtained from the program DYNAZ.