The stepped bar in Fig Q6 is stretched along the vertical axis and the maximum upward displacement is found to be 0.008 m. The bar has cross-sectional areas of A_{1} and A_{2} over the lengths L_{1} and L_{2}, respectively. Using the data below, find the stresses induced in the axially loaded stepped bar by the finite element method through hand calculations.
A_{1}=0.0002 m^{2}, A_{2}=0.0008 m^{2}; L_{1}= 1 m L_{2}= 2 m; E_{1}=ABCDE MPa, E_{2}=20000MPa