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Semirigid frame?

Rigid frame analysis set end-fixity factor rj = 1

Nonlinear connection stiffness?

Calculate end-fixity factor rj from Equation 23.7 based on input linear connection stiffness R

Evaluate equivalent joint loads k=k + 1, form member stiffness and correction matrices in Equation 23.16 based on rj and Nik-1)

Assemble structure stiffness matrix and solve for nodal displacements

Calculate member forces and axial force N/k)

Assign connection stiffness Rj = Re

Update end-fixity factor rj and evaluate equivalent joint loads, k = k + 1

Form member stiffness and correction matrices in Equation 23.16 based on rj and N(k-1); assemble structure stiffness matrix and solve for nodal displacements

Update connection secant stiffness

R(k)=Mkiekyek

Calculate axial force N(k\ moment Mjpand connection rotation <j= Mf/R(k); evaluate connection moment MfXef) from Equation 23.6

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