For the tapered bar shown in Figure 1

For the tapered bar shown in Figure 1.25, the area of cross-section changes along the length as A(x) = A₀e^−(x/l), where A₀ is the cross-sectional area at x = 0, and l is the length of the bar. By expressing the strain and kinetic energies of the bar in matrix forms, identify the stiffness and mass matrices of a typical element. Assume a linear model for the axial displacement of the bar element

1.10 Find the stress distribution in the tapered bar shown in Figure 1.26 using two finite elements under an axial load of P = 1 N.