Solve the following problem using Matlab and submit plot with script file In a typical tension test a dog-bone- PDL shaped specimen is pulled in a P machine. During the test, the force F needed to pull the specimen and the length L of a gauge section are measured. This data is used for plotting a stress-strain diagram of the material. Two definitions, engineering and true, exist for stress and strain. The engineering stress and strain are defined by: o, = - Lo f and - , where Lo and Ao are the initial gauge length and the initial cross-sectional area of the specimen, respectively. The true stress and strain 8, are defined by: 1=--and ,-In ,- The following are measurements of force and gauge length from a tension test with an aluminum specimen. The specimen has a round cross section with radius of 6.4 mm (before the test). The initial gauge length is Lo 25mm. Use the data to calculate and plot the engineering and true stress-strain curves,. both on the same plot of the material. Label the axes and label the curves. Units: When the force is measured in Newtons (N), and the area is calculated in m2, the units of the stress are Pascals (Pa) FN013345 26689 40479 42703 43592 44482 44927 L(mm)| 25 |25.037 | 25.073 | 25.113|25.122|25.125 | 25.132|25.144 F(N) 45372 46276 47908 49035 50265 53213 56161 L (mm) 25.164 25.208 25.409 25.646 26.084 27.398 29.150 Solve the following problem using Matlab and submit plot with script file In a typical tension test a dog-bone- PDL shaped specimen is pulled in a P machine. During the test, the force F needed to pull the specimen and the length L of a gauge section are measured. This data is used for plotting a stress-strain diagram of the material. Two definitions, engineering and true, exist for stress and strain. The engineering stress and strain are defined by: o, = - Lo f and - , where Lo and Ao are the initial gauge length and the initial cross-sectional area of the specimen, respectively. The true stress and strain 8, are defined by: 1=--and ,-In ,- The following are measurements of force and gauge length from a tension test with an aluminum specimen. The specimen has a round cross section with radius of 6.4 mm (before the test). The initial gauge length is Lo 25mm. Use the data to calculate and plot the engineering and true stress-strain curves,. both on the same plot of the material. Label the axes and label the curves. Units: When the force is measured in Newtons (N), and the area is calculated in m2, the units of the stress are Pascals (Pa) FN013345 26689 40479 42703 43592 44482 44927 L(mm)| 25 |25.037 | 25.073 | 25.113|25.122|25.125 | 25.132|25.144 F(N) 45372 46276 47908 49035 50265 53213 56161 L (mm) 25.164 25.208 25.409 25.646 26.084 27.398 29.150