Using the stiffness method, analyze the frame in Figure P16.6 and draw the shear and momen...

Joint B of the structure is analysed.

Joint C of the structure is analysed.

The free body of the structure is considered.

The force vector of the structure is

Unit rotation at the joint C is considered.

Joint B, joint C and the member BC are analysed.

:

Unit rotation at the joint C is considered.

Unit Horizontal Displacement at the joint C is analysed.

Joint B, joint C and the member BC are analysed.

The stiffness matrix of the structure is

The equation relating the stiffness matrix and the force vector is used,

Effects of joint displacements of the member AB are calculated.

Effects of joint displacements of the member BC are calculated.

Effects of joint displacements of the member CD are calculated.

The end moment of the member AB is calculated by solving the matrix.

The end moment of the member BA is calculated by solving the matrix.

The end moment of the member BC is calculated by solving the matrix.

The end moment of the member CB is calculated by solving the matrix.

The end moment of the member CD is calculated by solving the matrix.

The end moment of the member DC is calculated by solving the matrix.

The moment diagram for the structure is drawn.

The shear force diagram for the structure is drawn.