He deflections (you will need to define a non-dimensional number  = EI/kL3 characterizing the stiffness of the spring) for various values of the spring stiffness. Plot also the variation of the deflection of the end of the beam (x=L) as a function of  Comment on your results (for example what happens when the spring becomes stiff? What happens when k tends to zero?). Finally, plot (in a non-dimensional way) the moment distribution along the beam. Find the expression of the axial stress along the bottom side of the beam, assuming that the cross section is rectangular and is defined by - a / 2 £ y £ a / 2 ; -b /2 £ z £ b/s.