4) A simple-supported W360 x 72 beam with a 4 meter span supports the loading shown below. Point C is the located at 2 m from the left support A of the beam. Determine the slopes at A & B, and vertical deflection at x = 3 m (from the left support A) by using the discontinuity (singularity) functions method. Assume E = 200 GPa.

Calculate the value of the deflection at point B due to concentrated load P in the form  Calculate the vertical reaction at support D.  Calculate the vertical reaction at support A.  Find the maximum bending moment in the beam Calculate the magnitude maximum bending stress in the beam.

Solve the problem by the moment-area method. The beam has constant flexural rigidity EI. A simple beam AB supports two concentrated loads P at the positions shown in the figure. B C 4. 4 A support C at the midpoint of the beam is positioned at distance d below the beam before the loads are applied. Assuming that d = 12 mm, L = 5.4 m, E = 200 GPa, and I = 193 x 10° mm, calculate the magnitude of the loads P (in kN) so that the beam just touches the support at C. 163.87 x kN