FIGURE 2.80 A flexural member with semirigid end connections.

From Equation 2.148, the modified member stiffness matrix [K] for a member with semirigid end connections expresses the member end moments, M1 and M2, in terms of the member end rotations, f 1 and f 2, as

K11 K12 K21 K22

Expressions for K11 and K12 = K21 and K22 may be obtained by inverting the [F] matrix, thus

The modified member stiffness matrix [K], as expressed by Equations 2.149a to d, will be needed in the stiffness method of analysis of frames in which there are semirigid member end connections.

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