2 The stiffness matrix for this simpler beam relates the ro

2 . The stiffness matrix for this simpler beam relates the rotations to the corresponding moments.t would be a submatrix of the frame stiffness matrix shown in the lecture, and is given by: 4EI 2EI 2EI 4E Start with the above stiffness matrix, obtain the rotation at B and the moment reaction at the fixed end A in the propped cantilever, using the three methods discussed in the class: a) Direct method b) Penalty methoa c) Lagrange Multiplier method

Solution

1)according to direct method,

Rotation at B is=•04

2)According to penalty method,

Rotation at B is=•04( because this method is only applied for a unconstrained type problem and in this follow it)

3)According to Lagrange multiplier method,

Rotation at B is =•04