Geometry: The system has the following dimensions: LAB = 800 mm, LBD = 1200 mm, dAB= 150 mm, dBD = 100 mm. Furthermore, the fillet in the transition between segment AB and BD is of radius r = 10 mm. Loads and BCDs: The system is fixed against deformation and rotation in section A and fixed against vertical deformation in section D. A load P = 500 kN will be applied in various positions. Material: The system is made of structural steel with module of elasticity E= 210 GPa, Yield strength Sy = 235 N/mm2, and ultimate strength Sut = 550 N/mm. Furthermore, the total factor relating the unmodified endurance strength and the modified endurance strength in the expression Se = Cload Csize Csurf Ctemp CretSer = CSer is given by C = 0.57. A dAB LAB LBD D Figure 1: Your exam-project will be about the mechanical system shown above All questions will be about the system shown in Figure 1. All required input parameters are listed below. A B D P Initially, the load P is added as end load in section D as shown in figure 2. For this load case, answer the following questions Figure 2 a) Using a two element idealization of the system, determine the constrained stiffness matrix of the system shown in Figure 2 subjected only to axial loads b) Determine the total linear elastic deformation of point D applying your answer from a) c) Validate the result obtained in b) using classical methods For the notched transition in section B between AB and BD, determine: d) The safety factor against static yielding e) The safety factor against fatigue with infinite lifetime if P is added as fully reversed cyclic load with zero mean f) The equations for the Basquin-line for the mechanical part (the constants a and b)