Question

In a typical tension test, a dog-bone-shaped specimen is pulled in a 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 σe and strain εe are defined by: σe = F / Ao εe = (L - Lo) / Lo where Lo and Ao are the initial gauge length and the initial cross-section area of the specimen, respectively. The true stress σt and strain εt are defined by: σt = F / Ao εt = ln(L / Lo) The following are the measurements of force and gauge length from a tension test with an aluminum specimen. The specimen has a round cross-section with a radius of 6.4mm (before the test). The initial gauge length is Lo = 25mm. a. Use the data to calculate and print the engineering and the true stress-strain curves. b. 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 stress are Pascals (Pa). F (N) 0 13345 26689 40479 42703 43592 44482 44927 45372 L (mm) 25 25.037 25.073 25.113 25.122 25.125 25.132 25.144 25.164 F (N) 46276 47908 26689 49035 50265 53213 44482 56.161 L (mm) 25.208 25.409 25.073 25.646 26.084 25.125 27.398 29.150 Requirements: Use a vector of structures to store the force F and the gauge length L from the table. Use two functions, E_stress_strain and T_stress_strain, to calculate the engineering and the true stress-strain, respectively. Please write code in C++ and follow all instructions. 

          In a typical tension test, a dog-bone-shaped specimen is pulled in a 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 σe and strain εe are defined by: 

σe = F / Ao
εe = (L - Lo) / Lo

where Lo and Ao are the initial gauge length and the initial cross-section area of the specimen, respectively. The true stress σt and strain εt are defined by:

σt = F / Ao
εt = ln(L / Lo)

The following are the measurements of force and gauge length from a tension test with an aluminum specimen. The specimen has a round cross-section with a radius of 6.4mm (before the test). The initial gauge length is Lo = 25mm.

a. Use the data to calculate and print the engineering and the true stress-strain curves.
b. 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 stress are Pascals (Pa).

F (N)      0       13345   26689   40479   42703   43592   44482   44927   45372
L (mm)    25      25.037  25.073  25.113  25.122  25.125  25.132  25.144  25.164

F (N)      46276   47908   26689   49035   50265   53213   44482   56.161
L (mm)    25.208  25.409  25.073  25.646  26.084  25.125  27.398  29.150

Requirements:
Use a vector of structures to store the force F and the gauge length L from the table. Use two functions, E_stress_strain and T_stress_strain, to calculate the engineering and the true stress-strain, respectively. Please write code in C++ and follow all instructions.
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in a typical tension test a dog bone shaped specimen is pull in a machine during the test the force f needed to pull the specimen and the length l of a gauge section are measured this data i 03633

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In a typical tension test, a dog-bone-shaped specimen is pulled in a 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 σe and strain εe are defined by: σe = F / Ao εe = (L - Lo) / Lo where Lo and Ao are the initial gauge length and the initial cross-section area of the specimen, respectively. The true stress σt and strain εt are defined by: σt = F / Ao εt = ln(L / Lo) The following are the measurements of force and gauge length from a tension test with an aluminum specimen. The specimen has a round cross-section with a radius of 6.4mm (before the test). The initial gauge length is Lo = 25mm. a. Use the data to calculate and print the engineering and the true stress-strain curves. b. 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 stress are Pascals (Pa). F (N) 0 13345 26689 40479 42703 43592 44482 44927 45372 L (mm) 25 25.037 25.073 25.113 25.122 25.125 25.132 25.144 25.164 F (N) 46276 47908 26689 49035 50265 53213 44482 56.161 L (mm) 25.208 25.409 25.073 25.646 26.084 25.125 27.398 29.150 Requirements: Use a vector of structures to store the force F and the gauge length L from the table. Use two functions, E_stress_strain and T_stress_strain, to calculate the engineering and the true stress-strain, respectively. Please write code in C++ and follow all instructions.
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Transcript

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00:01 Hello students, today we will discuss about this question.
00:04 In this question, a novel steel composite is being tested to determine its toughness.
00:10 The compact tension samples are fatigued, cracked and then loaded to failure.
00:17 Three samples have been tested as shown in the table.
00:21 Here it is sample 1, 2 and 3.
00:24 Now w, b, a, load at failure, that is p.
00:32 So therefore, here it is 50, 50, 5, 20, 24 .9, 25 .1, 6 .2, 28 .1.
00:44 Here it is 50, 30, 24 .6, 42 .5.
00:48 42 .5.
00:50 Now here we need to use the compact tension specimen geometry in k calculator spreadsheet to calculate the value of k at a failure for three samples.
01:05 So here we need to find it for three samples.
01:10 So here first of all for the first case, k that is equals to p divide by b w raised to 0 .5 multiplied by f of a divide by w...
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