Help to solve task 4 Tasks: TASK 1: Calculate Experimental Stress and Strain (4 - 7 min)

 

 

Help to solve task 4

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Tasks: TASK 1: Calculate Experimental Stress and Strain (4 - 7 min) Proficiency Time: 45 min - 1 hr 10 min Load in Elongation.csv and Force.csv that contain change in length AL [mm] and force F [N], respectively. Prompt the user to input the initial length, width, and height of a rectangular sample as a 1x3 vector [mm]. Using this information, calculate the experimental stress [MPa] and strain & [%] as vectors for each value of elongation and force. Plot stress vs. strain. Your plot should include the following formatting: . Title, axis labels (which include the symbols and ), and gridlines Scatter plot of the stress-strain curve with solid red markers TASK 2: Develop the Stress/Strain Curve (18-25 min) The stress-strain curve can be modeled using the tensile test data and three theoretical curves. Approximate the stress-strain curve on a new figure, using linear, power, and exponential curves. Develop the linear curve with the first third of the experimental stress-strain data, the power curve with the second third of the data, and the exponential curve with the last third of the data (assume the data can always be split evenly into thirds). The linear curve should be plotted from the first experimental strain value to the linear and power curves' intersection, the power curve should be plotted from the linear/power intersection to the power and exponential curves' intersection, and the exponential curve should be plotted from the power/exponential intersection to the last experimental strain value. Your new plot should include the following formatting: . Title, axis labels (which include the symbols and ), and gridlines The three curves as described above, with a line thickness of 3 and colored black Fixed axis limits from the x and y axes to 10% above the max experimental stress and strain values TASK 3: Identify Points on the Curve (10-15 min) On the stress-strain diagram, plot a linear offset curve as described in the Background. This curve has the same slope as the linear curve and will extend from the point (0.2%, 0 [MPa]) on the diagram to the offset curve's intersection with the power curve and should be plotted in red with a line width of 2. Then, find the yield strength, tensile strength, and fracture point of the stress-strain curve. Output these three values to the command window and mark these points on the stress-strain diagram with blue diamonds and appropriate labels. TASK 4: Classifying Other Samples (13-23 min) Using the stress-strain curve, properties of other samples of the same material can be determined. Prompt the user to enter the number of test measurements that will be used to evaluate other samples of the material. Then, prompt the user to enter each of these test measurements (one at a time) in the format [strain (%), stress (MPa)], and plot them on the stress-strain diagram as solid red circles. Classify each of the test measurements using the below information and formulate a table in the command window with the user inputted points and their classifications (see sample output for a sample table). . . If the measurement is to the left of the yield strength, the sample is in the elastic region. Otherwise, it is in the plastic region. If the measurement is within 5% of the theoretical stress, the sample is nominal. Otherwise, it is irregular. NOTE: If a test measurement is at the boundary of one of the above classifications, the sample is considered to be the first of the two options given. For example, a sample with a test measurement at the yield strength is considered elastic. Tasks: TASK 1: Calculate Experimental Stress and Strain (4 - 7 min) Proficiency Time: 45 min - 1 hr 10 min Load in Elongation.csv and Force.csv that contain change in length AL [mm] and force F [N], respectively. Prompt the user to input the initial length, width, and height of a rectangular sample as a 1x3 vector [mm]. Using this information, calculate the experimental stress [MPa] and strain & [%] as vectors for each value of elongation and force. Plot stress vs. strain. Your plot should include the following formatting: . Title, axis labels (which include the symbols and ), and gridlines Scatter plot of the stress-strain curve with solid red markers TASK 2: Develop the Stress/Strain Curve (18-25 min) The stress-strain curve can be modeled using the tensile test data and three theoretical curves. Approximate the stress-strain curve on a new figure, using linear, power, and exponential curves. Develop the linear curve with the first third of the experimental stress-strain data, the power curve with the second third of the data, and the exponential curve with the last third of the data (assume the data can always be split evenly into thirds). The linear curve should be plotted from the first experimental strain value to the linear and power curves' intersection, the power curve should be plotted from the linear/power intersection to the power and exponential curves' intersection, and the exponential curve should be plotted from the power/exponential intersection to the last experimental strain value. Your new plot should include the following formatting: . Title, axis labels (which include the symbols and ), and gridlines The three curves as described above, with a line thickness of 3 and colored black Fixed axis limits from the x and y axes to 10% above the max experimental stress and strain values TASK 3: Identify Points on the Curve (10-15 min) On the stress-strain diagram, plot a linear offset curve as described in the Background. This curve has the same slope as the linear curve and will extend from the point (0.2%, 0 [MPa]) on the diagram to the offset curve's intersection with the power curve and should be plotted in red with a line width of 2. Then, find the yield strength, tensile strength, and fracture point of the stress-strain curve. Output these three values to the command window and mark these points on the stress-strain diagram with blue diamonds and appropriate labels. TASK 4: Classifying Other Samples (13-23 min) Using the stress-strain curve, properties of other samples of the same material can be determined. Prompt the user to enter the number of test measurements that will be used to evaluate other samples of the material. Then, prompt the user to enter each of these test measurements (one at a time) in the format [strain (%), stress (MPa)], and plot them on the stress-strain diagram as solid red circles. Classify each of the test measurements using the below information and formulate a table in the command window with the user inputted points and their classifications (see sample output for a sample table). . . If the measurement is to the left of the yield strength, the sample is in the elastic region. Otherwise, it is in the plastic region. If the measurement is within 5% of the theoretical stress, the sample is nominal. Otherwise, it is irregular. NOTE: If a test measurement is at the boundary of one of the above classifications, the sample is considered to be the first of the two options given. For example, a sample with a test measurement at the yield strength is considered elastic.