Drew Williams Dylan Terry Travis Watts Devin Gatherwright IET 307 Lab #1 Prof. Madhavannair Mechanical Testing: Uniaxial Tension Test Introduction A uniaxial tensile testing machine is a very common machine used to perform tensile tests on selected specimens to determine the mechanical properties of materials that are important in design. A specimen is placed into grippers on the machine and the specimen is deformed, usually to fracture, with a gradually increasing tensile load that is applied uniaxially along the long axis of the specimen. The machine is designed to elongate the specimen at a constant rate and to simultaneously measure the instantaneous load and elongation. A load vs. elongation is then produced on a computer and from there engineering stress and strain and true stress and strain can be calculated. Objective The objective of this lab is to determine the respective properties of an Aluminum 6061(round) specimen, AISI 1020 Steel(round) specimen, Gray Cast Iron(round) specimen, and an AISI 1020 Steel(sheet metal) specimen by conducting a uniaxial tension test. From the load vs. elongation data generated by the machine we are to make four graphs of each specimen: Load vs. Elongation, Engineering Stress vs. Engineering Strain, True Stress vs. True Strain, and True Stress vs. True Strain on a log log plot. From these graphs we will be able to determine/learn the mechanical properties of each specimen. Procedure Apparatus: Universal Testing Machine Caliper Measuring Scale Micrometer Gage Length Punch Materials and Specimens: Aluminum 6061-round specimen AISI 1020 Steel-round specimen Gray Cast Iron-round specimen AISI 1020 Stell-sheet metal specimen 1. Using a caliper, measure the width and thickness (or diameter for round specimens) at several locations along the shaft of each specimen to determine the average cross-sectional dimensions. Record the average measured width and thickness of each specimen on the data sheet. 2. Place the specimen in the grips. Make sure that each end is firmly attached to the grips. 3. Punch the gage length on the shaft of the specimens using the gage length punch. Drew Williams Dylan Terry Travis Watts Devin Gatherwright IET 307 Lab #1 Prof. Madhavannair 4. Measure the length of the specimen between the punch marks. This is the gage length and will be used to calculate strain. 5. Adjust the caliper for a length slightly larger than the gage length and record that length. 6. Adjust the micrometer for a slightly smaller diameter than the original diameter of the shaft and record that diameter. 7. Begin applying the tensile load to the specimen and observe the live reading of applied load on the digital display. The read-out displays the applied tensile load in Newton or lbf. 8. Continue applying tensile load slowly, observing the shape of the sample closely. Check frequently until sample reaches the adjusted length on caliper and record the corresponding load. Repeat step 5. 9. Repeat step 8 until specimen diameter starts to change. Check for change in diameter frequently using the micrometer. 10. Check the diameter and the length of the specimen until they reach the adjusted values on the caliper and micrometer, record the corresponding load values. Repeat steps 5 and 6. 11. Load the specimen until failure and repeat step 10 until failure. Record the maximum load and the load at failure. 12. Remove the broken specimen from the machine. Observe the location and character of the fracture. 13. Measure the width and thickness of each specimen in the region of failure and record final measurements. Drew Williams Dylan Terry Travis Watts Devin Gatherwright IET 307 Lab #1 Prof. Madhavannair Results 1020 Steel Round (Load vs. Elongation) 100 90 80 70 Load (kN) 60 50 1020 Steel Round (Load vs. Elongation) 40 30 20 10 0 0 1 2 3 Elongation (mm) 4 5 Drew Williams Dylan Terry Travis Watts Devin Gatherwright IET 307 Lab #1 Prof. Madhavannair Eng. Stress (kN) vs. Eng. Strain (1020 Steel Round) 0.8000 0.7000 0.6000 Eng. Stress 0.5000 0.4000 Eng. Stress (kN) 0.3000 0.2000 0.1000 0.0000 0.0000 0.0100 0.0200 0.0300 0.0400 0.0500 0.0600 0.0700 0.0800 0.0900 Eng. Strain Drew Williams Dylan Terry Travis Watts Devin Gatherwright IET 307 Lab #1 Prof. Madhavannair True Stress(kN) Vs. True Strain(1020 Steel Round) 1.0000 0.9000 0.8000 0.7000 Stress 0.6000 0.5000 True Stress(Mpa) Vs. True Strain 0.4000 0.3000 0.2000 0.1000 0.0000 0.0000 0.1000 0.2000 0.3000 Strain 0.4000 0.5000 0.6000 Drew Williams Dylan Terry Travis Watts Devin Gatherwright IET 307 Lab #1 Prof. Madhavannair Log Log True Stress Vs. True Stress(AISI Steel Round) 1.0000 y = 0.361x + 0.7492 Log Log True Stress Vs. True Stress Linear (Log Log True Stress Vs. True Stress) 0.1000 0.1000 1.0000 Drew Williams Dylan Terry Travis Watts Devin Gatherwright IET 307 Lab #1 Prof. Madhavannair Load Vs Elongation for Aluminum 6061 12000 10000 8000 6000 Load Vs Elongation 4000 2000 0.28 0.275 0.27 0.26 0.25 0.24 0.2 0.1 0.15 0.05 0.04 0.01 0.0075 0.00875 0.00625 0.005 0.00375 0.0025 0.00125 0 0 Drew Williams Dylan Terry Travis Watts Devin Gatherwright IET 307 Lab #1 Prof. Madhavannair Engineering Stress Vs Engineering Strain of Aluminum 6061 60000 50000 40000 30000 Engineering Stress Vs Engineering Strain of Aluminum 6061 20000 10000 0 0.000625 0.00125 0.001875 0.0025 0.003125 0.00375 0.004375 0.005 0.02 0.025 0.05 0.075 0.1 0.12 0.125 0.13 0.135 0.1375 0.14 0 Drew Williams Dylan Terry Travis Watts Devin Gatherwright IET 307 Lab #1 Prof. Madhavannair True Stress Vs True Strain of Aluminum 6061 100000 90000 80000 70000 60000 50000 True Stress Vs True Strain of Aluminum 6061 40000 30000 20000 10000 0 0.000625 0.00125 0.00187 0.0025 0.00312 0.00374 0.00437 0.00499 0.0198 0.0247 0.0488 0.0723 0.0953 0.1133 0.4463 0.5489 0.6022 0.7133 0.7713 0 Drew Williams Dylan Terry Travis Watts Devin Gatherwright IET 307 Lab #1 Prof. Madhavannair True Stress Vs True Strain Log Log of Aluminum 6061 100,000.00 y = 3978.5x + 57282 10,000.00 True Stress Vs True Strain Log Log of Aluminum 6061 1,000.00 Linear (True Stress Vs True Strain Log Log of Aluminum 6061) 100.00 10.00 1.00 0.0723 0.0953 0.1133 0.4463 0.5489 0.6022 0.7133 0.7713 Drew Williams Dylan Terry Travis Watts Devin Gatherwright IET 307 Lab #1 Prof. Madhavannair Load vs. Length (sheet metal) 12000 10000 8000 6000 load (lbs) vs length 4000 2000 0 Drew Williams Dylan Terry Travis Watts Devin Gatherwright IET 307 Lab #1 Prof. Madhavannair load (lbs) vs width (sheet metal) load (lbs) vs width 0.7 0.6 0.5 0.4 0.3 0.2 0.1 0 7657 9402 9959 10220 10340 10377 10368 10314 10152 9671 8592 Drew Williams Dylan Terry Travis Watts Devin Gatherwright IET 307 Lab #1 Prof. Madhavannair Computer Generated Graph of `1020 Steel Sheet Metal Drew Williams Dylan Terry Travis Watts Devin Gatherwright IET 307 Lab #1 Prof. Madhavannair Raw Data of 1020 Sheet Metal Load(lbf) 7657 9402 9959 10220 10340 10377 10368 10314 10152 9671 8592 8500 Properties Width(in.) 0.652 0.650 0.630 0.615 0.609 0.597 0.594 0.581 0.577 0.516 0.495 0.456 Max Thickness=0.257 in Elongation(in.) 2.063 2.125 2.188 2.25 2.313 2.375 2.438 2.5 2.563 2.625 2.688 2.75 Aluminum 1020 Steel Gray 1020 Steel Sheet 6061 rod rod Cast Iron Metal Tensile Test Raw Data 12.7 mm 0.5 in N/A Initial Diameter, D0 0.5 in. 2 in. 50.8 mm 2 in 2” Gage Length, L0 Tensile Test Results 9,750 lbf 82 kN NA 10,377lbs Yield Load, Py 2.15 in. 51.1 mm NA N/A Yield Length, Ly 90 kN 7853.9 lbf 10,382lbs Maximum Load, Pu 9,900 lbf 2.24 in. 52.3 mm 2 in 2.375” Length at maximum load, Lu 7,800 lbf 70 kN 7853.9 lbf 8500lbs Fracture Load, Pf 54.8 mm 2 in 2.75” Fracture Length, Lf 2.28 in. 2 2 0.1963 in. 126.67 mm 0.196 in^2 0.16882 Initial Area, A0 9,750 psi 0.6473 kN/mm2 40000 psi 10,382lbs Yield Strength, Sy 2 85,910.63 psi 0.7105 kN/mm 40000 psi N/A Ultimate Tensile Strength, SUTS N/A Young’s Modulus, 69 GP6 a or 10 320.82 kN/mm2 NA X 10 psi E 0.09079 in2 74.66 mm2 0.196 in^2 0.1171 Final Area, AF Drew Williams Dylan Terry Travis Watts Devin Gatherwright IET 307 Lab #1 Prof. Madhavannair % Area Reduction, % Ar % Elongation, % El Strain Hardening Coefficient, K Strain Hardening Exponent, n 53.76 % 41.06% NA 69.37% 14 % 7.87% NA N/A 4.98 5.61 kN NA N/A 74,210.43 .361 NA N/A Sample Calculations of 1020 Steel Rod: ο· Young’s Modulus (E) is found by finding the slope of the elastic part of the Eng. Stress vs. Eng. Strain curve, which the equation if the line is found to be: y=320.86x-0.6315. Thus, the slope of the elastic part is 320.86, which in turn is our Young’s Modulus (E) of 320.86 kN/mm2. ο· % π΄πππ π πππ’ππ‘πππ = ο· % πΈππππππ‘πππ = ο· ππ −ππ ππ π΄π −π΄π π΄0 126.67ππ2 −74.66ππ2 ∗ 100 126.67ππ2 54.8ππ−50.8ππ ∗ 100 = 7.87% 50.8ππ ∗ 100 = ∗ 100 = = 41.06% The strain hardening coefficient(K) and exponent(n) can be found from the log log graph of true stress vs. true strain, where n is the slope and K is the Y-intercept. o When we find to equation of our line on the log log graph we get y=.361x+0.7492. This equation is in the logarithmic for so it what is really saying is the y=log(σ), n=.361, x=log(Ο΅), and b=log(K). o Since n is just the slope it is easy to determine. o Since K is the Y-intercept, b, we must solve for K in π = 0.7492 = log(πΎ). ο§ 0.7492 = log(πΎ) => 100.7492 = πΎ, thus K=5.61 ο§ K is given in force so K=5.61 kN. Discussion When comparing the collected data provided for the aluminum 6061 rod to the data collected for the AISI 1020 steel rod in the lab, the first thing we noticed was the tensile load at which both materials experienced fracture. For the AISI 1020 sheet metal specimen that we observed in lab, the specimen material fractured at 8,592 lbf whereas, according to the data provided, the aluminum 6061 rod fractured at 7,800 lbf respectively. We also noticed the initial diameter of both the aforementioned materials was somewhat close to one another (0.5 in. for the aluminum 6061 rod; 0.652 in. for the AISI 1020 sheet metal,) and their final respective diameters were also somewhat close to one another as well (0.34 in. for the aluminum rod; 0.495 in. for the AISI 1020 sheet metal.) Also, the elongations of the both the materials were somewhat close to one another as well, which leads me to conclude that the materials properties of the aluminum 6061 rod and the AISI 1020 steel sheet metal are somewhat similar to one another. When comparing cast iron to the aluminum rod they seem to have to same area but the aluminum has more elasticity so it stretched more before it fractured. Even though the aluminum Drew Williams Dylan Terry Travis Watts Devin Gatherwright IET 307 Lab #1 Prof. Madhavannair had a much higher maximum load the cast iron had a higher fracture load. The length stayed the same with the cast iron but it changed in the aluminum because of its elasticity. Most of the properties between aluminum and the steel rod seem to be similar they are not exactly the same but they are much closer than those the properties of grey cast iron. When comparing the 1020 steel rod to the aluminum we see that the steel rod had a much higher yield load, fracture load, and maximum load compared to aluminum. Although the 1020 steel rod had a shorter elongation compared to the aluminum rod, this is due to the fact that the steel rod is less ductile than aluminum. When comparing the graphs of the 1020 steel rod to the aluminum rod we see that the aluminum rod had a much more gradual slope of its elastic zone compared to the 1020 steel rod, once again confirming that the aluminum rod is more ductile. The true stress vs. true strain graph of the aluminum rod is a more linear representation than compared the true stress vs. true strain of the 1020 steel rod. From the properties found in each metal the 1020 steel rod had the highest max load, yield load, and fracture load. This means that the steel rod is very strong material. Conclusion In conclusion, from this lab, We learned how to conduct a tensile test of a material by using a uniaxial tensile testing machine, as well as how to manually measure both the change in gauge length of the material specimen (with a caliper,) and the change in diameter of the material (with a micrometer.) We also learned how to create a load vs. elongation graph from the load and elongation data collected and provided for this lab; a engineering stress vs. engineering stain graph using by calculating both the engineering stress and engineering strain of the material by using the collected data and given measurements per material; a true stress vs. true strain graph by calculating both the true stress and true strain of the material by using the collected data and the given measurements per material; and lastly, a true stress vs. true strain log log plot by using the yield point to fracture point on the true stress vs. true strain graph. Drew Williams Dylan Terry Travis Watts Devin Gatherwright IET 307 Lab #1 Prof. Madhavannair Contributions ο· ο· ο· ο· Drew Williams o I made the graphs for the 1020 Steel Rod specimen and found its properties. I also put the lab report together from the group’s data. 25% Travis Watts o Calculations for gray cast iron specimen and helped with the discussion and conclusion of the lab report. 25% Devin Gatherwright o Contributed calculations of properties and graphs for the Aluminum 1020 rod and also contributed to the discussion and conclusion sections of the lab report. 25% Dylan Terry o 1020 steel sheet metal. Only Load vs. Elongation graph. Was not able to finish other graphs and property calculaitons 10%