Course: CMCE1215 Strength of Materials - Spring 2020 Background: The data shown on the following page was obtained from Tension Tests of 10 unknown ductile metals. For each test, various dimensions and loads were measured before and after failure. The data is a summary of readings taken during the test (loads vs extensometer readings). Purpose: To determine the stress, strain, yield stress and modulus of elasticity of a circular shaped specimen from a tension test. Directions: A. For your particular case (depending on your last name) do the following (hand calculations): 1. Calculate the stress (ksi) and strain for all 15 loads. Summarize these values in the form of a table at the end of your hand calculations. 2. Plot stress (y-axis) versus strain (x-axis) graph by hand for all 15 loads for your individual case. Draw a best-fit line for your values. 3. Calculate the following important properties and summarize in a table. a) Young's Modulus of Elasticity "E" (ksi). b) Yield Stress, Fy (ksi) (Note: Use the Original Dimensions of the Sample) c) Rupture Stress, FR (ksi) (Note: Use the Original Dimensions of the Sample) d) True Stress at failure (ksi) (Note: Use the Final Dimensions of the Sample) e) Ductility - Percent Elongation (%) f) Percent Reduction of Area (%) B. For all cases use a computer program to do the following: 1. Use Excel spreadsheet software to solve item "A.2" and "A.3" for all cases. 2. Create plots with proper headings for every case (2 per page). 3. Mark items "3c" and "3 d:" on every plot. 4. Create a combined plot of all cases in one graph, with proper headings and tags. Submission: The project report is to be submitted with the following components and stapled: 1. Cover Page - include: your name, date, course name and number, project name and number, and case number. The cover is to be typed on 872" x 11" computer paper. il. Back Up Calculations and Graph for your case-on 8 12" x 11" engineering paper with the heading on each page filled out (your name, project name and number, date and numbered pages). All work must be shown in order to receive full credit (calculations, table and Stress vs Strain Graph). iii. Computer Solution (all cases): a. Print out table with all items included in section "A-3" for all cases. b. Print out properly labeled individual plots for every case (2 per page). C. Print out a properly labeled combined plot of all cases in one graph. d. Print out your results for item "3c" and "3 d" (above) in a table. iv. Submit in blackboard the excel spreadsheet that you wrote. PROJECT #1 DATA U,V,W X,Y,Z 6.0 6.0 7.04 6.8 CASE NUMBER* Last Name Letter: A,B CD E,F GH 1,J,K L,M, N O,P,Q RS,T Description 1 2 3 4 5 6 7 Original Length (in.) 2.0 2.0 8.0 8.0 4.0 4.0 3.0 3.0 Final Length (in.) 2.42 2.67 9.13 8.97 4.86 4.67 4.673.39 3.39 3.76 Original Diameter (in.) 0.504 0.575 0.882 0.875 0.585 0.771 0.864 0.567 Final Diameter (in.) 0.37 0.503 0.679 0.802 0.456 0.697 0.765 0.489 Yield Load (kips) 16.5 17.2 18.6 19.2 14.3 15.4 21.6 22.5 Ultimate Load (kips) 17.5 18.3 23.6 25.6 15.6 17.4 24.1 25.7 Rupture Load (kips) 12.1 10.4 20.5 22.5 12.4 15.6 22.8 22.6 * Your case number will be given by the first letter of your last name. (i.e. Ivan Guzman = Case #4) 0.987 0.876 31.6 35.3 30.4 0.760 0.702 32.6 37.5 32.9 Gage Readings (gage factor = 0.0001") for Each Test (1 through 10) Load 1 2 3 4 5 6 7 8 9 10 (Kips) 0. 00000000000 1.0 2.0 12 24 13 10 13 13 1813 1918 22 15 24 22 15 27 18 30 27 18 33 2035 3320 38 23 41 38 23 43 25 45 43 25 41 13 10 13 18 13 19 22 15 24 27 18 30 3 20 35 38 23 41 43 25 45 48 29 3569 65 43 94 80 58 129 105 93 179 9.0 10.0 11.0 12.0 13. 0 14.0 15.0 55 3569 55 65 439465 80 58 129 105 93 179 105 93 179 105 Course: CMCE1215 Strength of Materials - Spring 2020 Background: The data shown on the following page was obtained from Tension Tests of 10 unknown ductile metals. For each test, various dimensions and loads were measured before and after failure. The data is a summary of readings taken during the test (loads vs extensometer readings). Purpose: To determine the stress, strain, yield stress and modulus of elasticity of a circular shaped specimen from a tension test. Directions: A. For your particular case (depending on your last name) do the following (hand calculations): 1. Calculate the stress (ksi) and strain for all 15 loads. Summarize these values in the form of a table at the end of your hand calculations. 2. Plot stress (y-axis) versus strain (x-axis) graph by hand for all 15 loads for your individual case. Draw a best-fit line for your values. 3. Calculate the following important properties and summarize in a table. a) Young's Modulus of Elasticity "E" (ksi). b) Yield Stress, Fy (ksi) (Note: Use the Original Dimensions of the Sample) c) Rupture Stress, FR (ksi) (Note: Use the Original Dimensions of the Sample) d) True Stress at failure (ksi) (Note: Use the Final Dimensions of the Sample) e) Ductility - Percent Elongation (%) f) Percent Reduction of Area (%) B. For all cases use a computer program to do the following: 1. Use Excel spreadsheet software to solve item "A.2" and "A.3" for all cases. 2. Create plots with proper headings for every case (2 per page). 3. Mark items "3c" and "3 d:" on every plot. 4. Create a combined plot of all cases in one graph, with proper headings and tags. Submission: The project report is to be submitted with the following components and stapled: 1. Cover Page - include: your name, date, course name and number, project name and number, and case number. The cover is to be typed on 872" x 11" computer paper. il. Back Up Calculations and Graph for your case-on 8 12" x 11" engineering paper with the heading on each page filled out (your name, project name and number, date and numbered pages). All work must be shown in order to receive full credit (calculations, table and Stress vs Strain Graph). iii. Computer Solution (all cases): a. Print out table with all items included in section "A-3" for all cases. b. Print out properly labeled individual plots for every case (2 per page). C. Print out a properly labeled combined plot of all cases in one graph. d. Print out your results for item "3c" and "3 d" (above) in a table. iv. Submit in blackboard the excel spreadsheet that you wrote. PROJECT #1 DATA U,V,W X,Y,Z 6.0 6.0 7.04 6.8 CASE NUMBER* Last Name Letter: A,B CD E,F GH 1,J,K L,M, N O,P,Q RS,T Description 1 2 3 4 5 6 7 Original Length (in.) 2.0 2.0 8.0 8.0 4.0 4.0 3.0 3.0 Final Length (in.) 2.42 2.67 9.13 8.97 4.86 4.67 4.673.39 3.39 3.76 Original Diameter (in.) 0.504 0.575 0.882 0.875 0.585 0.771 0.864 0.567 Final Diameter (in.) 0.37 0.503 0.679 0.802 0.456 0.697 0.765 0.489 Yield Load (kips) 16.5 17.2 18.6 19.2 14.3 15.4 21.6 22.5 Ultimate Load (kips) 17.5 18.3 23.6 25.6 15.6 17.4 24.1 25.7 Rupture Load (kips) 12.1 10.4 20.5 22.5 12.4 15.6 22.8 22.6 * Your case number will be given by the first letter of your last name. (i.e. Ivan Guzman = Case #4) 0.987 0.876 31.6 35.3 30.4 0.760 0.702 32.6 37.5 32.9 Gage Readings (gage factor = 0.0001") for Each Test (1 through 10) Load 1 2 3 4 5 6 7 8 9 10 (Kips) 0. 00000000000 1.0 2.0 12 24 13 10 13 13 1813 1918 22 15 24 22 15 27 18 30 27 18 33 2035 3320 38 23 41 38 23 43 25 45 43 25 41 13 10 13 18 13 19 22 15 24 27 18 30 3 20 35 38 23 41 43 25 45 48 29 3569 65 43 94 80 58 129 105 93 179 9.0 10.0 11.0 12.0 13. 0 14.0 15.0 55 3569 55 65 439465 80 58 129 105 93 179 105 93 179 105