Consider the stepped bar shown in Fig. 12.11 with the following data: \(A_{1}=25 \times 10^{-4} \mathrm{~m}^{2}\), \(A_{2}=16 \times 10^{-4} \mathrm{~m}^{2}, A_{3}=9 \times 10^{-4} \mathrm{~m}^{2}, E_{i}=2 \times 10^{11} \mathrm{~Pa}, i=1,2,3, ho_{i}=7.8 \times 10^{3} \mathrm{~kg} / \mathrm{m}^{3}\), \(i=1,2,3, l_{1}=3 \mathrm{~m}, l_{2}=2 \mathrm{~m}, l_{3}=1 \mathrm{~m}\). Using MATLAB, find the axial displacements \(u_{1}, u_{2}\), and \(u_{3}\) under the load \(p_{3}=500 \mathrm{~N}\).

Figure 12.11:-

Transcribed Image Text:

A1, E1, P1 A2, E2. P2 A3, E3. P3 P3 uo uj -4 + FIGURE 12.11 Stepped bar. U2 + 13