For each of the beams shown in Problem 6.1, determine the reactions at supports A and B, the deflection at mid-span and the rotation at the roller support at A using the conjugate beam method. Assume...

For each of the beams shown in Problem 6.1, determine the reactions at supports A and B, the deflection at mid-span and the rotation at the roller support at A using the conjugate beam method. Assume EI is constant throughout.

Problem 6.1

If the flexural rigidity EI of each of the propped cantilevers shown is constant, use the moment-area method to determine (i) the reactions at A and B, (ii) the deflection at the mid-span and (iii) the rotation at support A of each beam in terms of the load (w or F), the span L and the flexural rigidity EI.