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Principle of Engineering Mechanics Assignment Help

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Lab: Tensile Testing of Engineering Polymers

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Questions: Post Test Analysis:                   

The analysis of experimental test data is the most significant activity an engineer can engage in after each test. This is where you show your understanding of the relationship between the experimental data and the mechanics of materials concepts developed in the lectures. The following set of activities or questions arc targeted at helping you obtain reliable mechanical behavior information from your experimental data.

Question 1: Using either Excel or MATLAB plot a graph of Force. F versus Displacement, ?L using the raw data obtained from your experiment for all tested materials and test speeds. Briefly comment on the nature of the graph for all tested materials.

Question 2: Using the equations for nominal stress and nominal strain below, plot again the graph showing nominal stress versus nominal strain for the tested materials and test speeds.

Nominal or Engineering Stress, σN = F/Ao, Nominal or Engineering Strain, εN = ?L/Lo

In the above equation, Ao = initial cross section area (Ao Width*Thickness) and Lo Intial gauge length of the specimen, as measured at the start of the experiment. Briefly comment on the nature of your graphs

Question 3: Convert the nominal stress and nominal strain parameters above into true stress and true strain parameters and plot true stress-strain graph for all tested materials and test speeds. Use the following equations:

True Stress, σT = σN (1+εN) and True Strain εT = In(1 + εN)

Briefly comment on the nature of your graphs

Question 4: To show the difference between nominal and true stress versus strain plots per given polymer, combine the plots of nominal and true stress versus strain plots for all tested materials and test speeds. Briefly comment on the nature of your graphs

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Question 5: Using the plot of true stress versus true strain, determine the Secant Modulus of all tested materials. Choose a limiting strain for calculation of the Secant Modulus.

a) Based on your calculated values of secant modulus for the materials, is there agreement between your experimentally determined values and official (engineering handbook) values of modulus of the chosen test materials?

b) If there are differences between your values and official values, calculate the percentage error. Briefly comment on the possible source of error.

c) Draw a bar chart showing variation of Secant Modulus with test speed for all test materials.

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Question 6: Include images of the tested specimens and briefly comment on the shape of the specimen before and after testing.

a) Classify the images to ductile and brittle failure categories.

b) Explain the meaning of brittle and ductile failure and how can you conclude on this from a stress-strain graph.

c) Based on images of tested specimens, comment on the shape of the specimen after testing.

d) What is necking? Do you see evidence for necking in some of the specimens?

e) What is responsible for necking in those specimens (where necking exists)?

Question 7: What is Yield? Comment on the yield region for all the tested materials? Is there a relationship between yielding and necking observed in the test specimens?

Question 8: Based on the true stress versus true strain graphs, build a table of the yield stress for all the test specimens tested and all tested materials. To see the variation of yield stress with test material and speeds, draw a bar chart showing on the y-axis the Yield Stress (for all speeds) and on the x-axis the test material.

  • Briefly comment on the nature of your graphs
  • What factors are responsible for one of the materials to have the highest yield stress in comparison to others?

Question 9: A common mechanical behaviour of polymers is strain softening? Basing your discussions on the true stress versus true strain plots answer the following questions

a) What is strain softening? Briefly comment on why strain softening happens in materials.

b) Draw a bar chart showing the Y-axis maximum size of strain softening and x-axis the different test materials tested. Show the charts for the two test speeds.

c) Is there any stress softening observed in the materials?

Question 10: Another mechanical behaviour that is evident in the true stress versus strain values is called strain hardening.

a) Define strain hardening.

b) Draw a bar chart of maximum strain hardening observed after yield in the materials by putting strain hardening magnitude in y-axis and test material in x-axis, for the two test speeds.

c) For the same true strain levels e.g. 0.25 and 0.35, which of the materials shows the biggest strain hardening?

d) What do you think is responsible for the significant strain hardening seen in some of the materials?

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The MECH1062 Principle of Engineering Mechanics Assignment is a challenging but rewarding task. In this assignment, you will be asked to apply the principles of engineering mechanics to solve problems involving forces, moments, equilibrium, and motion.

To begin, it is important to review the basic principles of engineering mechanics. These principles include:

Newton's laws of motion: Newton's laws of motion describe how forces affect the motion of objects.
Free body diagrams: Free body diagrams are used to isolate a body from its surroundings and show all of the forces acting on the body.
Equilibrium: Equilibrium is the state of being at rest or in steady motion.
Moments: Moments are forces that tend to rotate an object.

Once you have reviewed the basic principles of engineering mechanics, you can begin to apply them to the problems in your assignment. To do this, follow these steps:

Identify the relevant forces and moments. What forces and moments are acting on the bodies in the problem?
Draw a free body diagram for each body. This will help you to visualize the forces and moments acting on each body.
Apply Newton's laws of motion and equilibrium to each body. This will allow you to write down equations that describe the motion of each body.
Solve the equations to find the unknown quantities. This may require the use of algebra, calculus, and/or trigonometry.
Check your work. Make sure that your answers make sense and that they satisfy all of the constraints of the problem.

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