Exercise [100 pts. 1 For the below wooden beam, under the given loading and dimensions: F(kN) w (/m) بللللللللل с L (m)

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Exercise [100 pts. 1 For the below wooden beam, under the given loading and dimensions: F(kN) w (/m) بللللللللل с L (m) B Take b= 0.2 m, h = 0.4 m, F= 40 kN, W =12 kN/m, L= 6 m, and Ewood = 15 GPa. a) Calculate the reactions at the supports (10 points) b) Calculate and sketch the Internal Forces (N.V,M) along the beam (20 points) c) Calculate and sketch the maximal normal stresses at point C. (15 points) d) If the maximal allowable normal stress is 30 MPa, is the beam safe to carry the given loads ? justify your answer (5 points) e) Calculate the maximum beam deflection using : i. The double integration method (25 points) ii. The method of superposition (20 points) f) is the beam deflection within serviceability limit (6<L/250) (5 points)