Question

In: Civil Engineering

Hi I need Stress Strain Graphs to be made for the following data tables. There should...

Hi I need Stress Strain Graphs to be made for the following data tables. There should be 3 graphs, one for each table. I also need to know what material each sample is made of. I assume this is calculated from calculating the Modulus of Elasticity E. However I do not really know. I appreciate everything. The data tables are below this post.

Include the Following

  • Stress Strain graphs for each sample showing what variable and unit you have on both axes, and stating if it is sample 1, 2 or 3. Show the points in the graph and additionally a trendline.
  • Explain how you got your conclusion (i.e., show your work) including how it was calculated/how you got it, what value it had and what you compared with.
  • Your conclusion of what each of the three samples are made of.  
Sample 1
Strain [mm/mm] Stress [MPa]
0.0019 509.2958069
0.0019 530.5164795
0.00198 558.8106689
0.0021 583.5681152
0.00216 601.2520142
0.00228 622.4726563
0.00242 604.7887573
0.00242 604.7887573
0.0025 647.2301025
0.00268 684.9140015
0.0027 699.5978394
0.00272 720.2817383
Sample 2
Strain [mm/mm] Stress [MPa]
0.0004 17.68388176
0.00096 38.90454102
0.00104 60.12520218
0.00162 81.34586334
0.0018 99.02973938
0.00204 116.713623
0.0024 134.3975067
0.0026 152.0813904
0.00306 173.3020477
0.00342 194.5227051
0.00366 212.2065887
0.00398 229.8904724
Sample 3
Strain [mm/mm] Stress [MPa]
0.00088 31.68388
0.00098 35.36776
0.00122 93.58842
0.00132 102.5665
0.0019 130.8607
0.002 130.8607
0.0021 183.9124
0.0024 201.5963
0.0026 222.8169
0.00278 244.0376
0.00322 265.2582
0.00358 282.9421

Solutions

Expert Solution

I I have drawn the graphs using MS-Excel.

on application of load in UTM(UNIVERSAL TESTING MACHINE) on a material strains are calculated using the strain gauge attached to the material and stress are calculated from load/cross sectional area of the material.

we cannot predict exactly what the material is. but we can say the nature of the material

case 1: the sample 1 is has very less increase in stress upon strain this indicates sample 1 is plastic.

case 2: sample 2 is elastic, stress is proportional to strain

case 3: sample 3 is also an elastic material but the cross sectional area of testing sample is varying.

Ductile materials have plastic zone and elastic limit where as the brittle materials stress strain graph starts with the elastic limit and do not posses any plastic zone. by this we can also conclude sample 1 is a ductile material since it is in plastic zone.


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