Given the following beam with the following cross-section and with the moment (M) shear (S) and axial (N) diagram. Z F-P Ma 1 000 P mm F = 2P -500 d = 500 mm L = 1000 mm -2 -1 N [P] S [P] t = 1.5 B b=15 A C D b=15 M [P mm] =20 -1000 Figure 2: Schematics for problem 4. The expressions for the Moment (M), Shear (S), and Axial (N) are as follows (units in [P] and [Pmm]): N(2)=-2 S(z) = -1 if z 500 0 if 500 -500-if 500 M(z) = -1000 if 500 If the the area is A = 70.5 mm and the moment of inertia at the centroid are I Lyy 2899 mm, Ixy = 2810 mm: =4473 mm, 1. Calculate expressions that represent how the direct stress (2) varies with z at points A, B, C and D. 2. Plot the expressions you found in the previous problem to see how the direct stress () varies with z at those points. 3. Compute the direct stress (2) at points A, B, C and D when = 500mm. 4. What can you tell us if you compare the stress at points A and B? Would it change if there was a moment My applied? 5. If the allowable stress is 300 MPa, what should be the value of P?