Task 1 -Deflection- (30 Points) A flexible supported beam, see sketch, is vertically loaded by a force F1 in distance d in pos. z-direction and a force F in distance L-d in neg. z-direction, see sketch. The beam is made of aluminum and has a profile of a hollow triangle with the wall thickness of 4 mm. d. F1 L F 26 40 34.6 Z Sketch of the loaded beam Sketch of the beam profile dimensions in mm Data: L = 3 m, d = 0.6 m, F1 F2 = 100 N, E = 70 000 N/mm a) Determine the beam's moment of inertia ly of its horizontal center axes. b) Determine the total vertical deflection in the position, where F1 attacks. If you were not able to solve a), select ly = 4 cm. c) Sketch the bending line into the grid on the right side: d) The maximum Bending Moment (in position x = d) is Mbmax = 36 Nm. Determine the maximum Bending Stress in this position, including whether it is tension or compression. (Hint: The yield stress of pure aluminum is approx.. 40 N/mm) [mm] -3 -2 -1 0 1 mm 2 3 0.6 1.5 2.4 3.0 [m]