Relative stiffness of beam and column

[volunteera]

A continuous steel beam is running over four steel columns. The columns are fully welded to the bottom flange of the beam. I have analysed the beam already and it is ok and now want to check the columns. Obviously, because of relative stiffness of the beam and the column, the column will take some part of the moment. I am using EI/L for each member and then work out relative stiffness which would divide the moment over the joint into relative moments to be taken by each. Is this general approach satisfactory enough?

Can anyone advise an appropriate literature?

 

[MotorCity]

If you only have vertical load and you know the moment in the beam at a particular joint, that is the same moment that will be in the top of the column. That's basic statics, sum of moments at a joint must equal zero.

If you have lateral load and want to distribute it based on column and beam stiffness, take a look at pages 16.1-240 to 248 of the AISC manual 13th edition. It describes how to calculate a more accurate K value for your columns based on the stiffness of your beams and columns at a particular joint. Then just calculate your column stiffness and distribute load accordingly.

Or use software