In the figure, find the length c of the overhangs so that the beam made of U profile can carry the loading safely. The allowable stress (σsteel)safety= 50 N/mm2, (σcopper)safety= 80 N/mm2 for the...

In the figure, find the length c of the overhangs so that the beam made of U profile can carry the loading safely. The allowable stress (σ_steel)_safety= 50 N/mm², (σ_copper)_safety= 80 N/mm² for the tensile and compression conditions of the material. The support range of the beam is L= 6 m, cross-section dimensions a= 210 mm, b= 150 mm and wall thickness t= 40 mm. The loading condition is P= 30 kN and q₀= 40 kN/m.