Task 1-maximum stress and deformation- (30 Points) A beam is loaded by the force F and supported by the inclined rope, see left side sketch. The beam is welded together from two identical hollow profiles, which form one common profile, see right side sketch. b b a hi h h b b h Sketch of the loaded beam Sketch of the profile Data: a = 2 m, b = 4 cm, b = 2.8 cm, h = 6 cm, h = 4.8 cm E-Modulus: E = 210.000 N/mm, F = 4 kN im a) Determine the moment of inertia ly about the (horizontal) y-center-axes of the common profile. b) Determine the bending moment M(x) inside the beam. List M(x=0), Mb(x=a) and Mb(x=2a). c) Determine the maximum normal stress of the upper and lower edge of the profile (inclusive indication: tension or compression). If you were not able to solve a) and/or b), select x = 200 cm and/or Momax = 8 kNm. d) What is the deflection (in z-direction) at the free end of the beam? (axial rigidity of the rope E.A , that means the rope does not elongate.) What is the elongation (in x-direction) of the (neutral fibre of the) beam?