(Solved): An aluminium cantilever beam (Young's modulus \( E=70 \mathrm{GPa} \) ) with a square cross section ...

An aluminium cantilever beam (Young's modulus \( E=70 \mathrm{GPa} \) ) with a square cross section \( 150 \mathrm{~mm} \times 150 \mathrm{~mm} \) and span length \( L=8 \mathrm{~m} \) is subjected to uniform load \( q=4 \mathrm{kN} / \mathrm{m} \) as shown in Figure \( 3 . \) (a) Determine the elastic curve of the cantilever beam due to bending effect. [20 marks] (b) Determine the maximum deflection and its corresponding slope and position on the beam.