TABLE OF CONTENTS Consider a member which is subjected to a thrust P, end moments M A and M B, and partly distributed uniform load q within x 1 ? x ? x 2 as shown in Fig. 3.11. The governing equations for this elastic beam-column problem are given in the three portions separately.
| (3.46) |  |
where the subscripts 1, 2 and 3 indicate the three portions. The general solutions are obtained in the following forms:
| (3.47) |  |
where f i( x) are particular solutions of the above differential equations and
| (3.48) |  |
The twelve integration constants A i, B i, C i, D i are solved from the following twelve boundary conditions:
| (3.49) |  |
The constants are solved from the twelve simultaneous equations (3.51) in next page.
| (3.50) |  |
| (3.51) |  |
