M

FIGURE 2.117 Beam-column subjected to end moments.

2.12.3.2 Beam-Column Subjected to End Moments

Consider the beam-column shown in Figure 2.117. The member is subjected to an axial force of P and end moments MA and MB. The differential equation for this beam-column can be obtained from Equation 2.289 by setting w = 0:

d4y d2y

The general solution is y = A sin kx + B cos kx + Cx + D The constants A, B, C, and D are determined by enforcing the four boundary conditions n 00 ma „ —mB

0 0

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