For the below wooden beam, under the given loading and dimensions:

a) Calculate the reactions at the supports (5 points) b) Calculate and sketch the Internal Forces (N,V,M) (10 points) c) Calculate and sketch the maximal normal stress at point C. (15 points) d) Calculate and sketch the shear stress distribution of the section at the support (20 points) e) If the maximal allowable normal stress is 30 MPa, is the beam safe to carry the given loads? justify your answer (5 points) f) Calculate the maximum beam deflection using : i. The double integration method (20 points) ii. The method of superposition (20 points) Take Ewood = 12 GPa. Is the beam deflection is within serviceability limit (8< L/250) (5 points)