An aluminum alloy bar with a rectangular cross section that has a width of 12.5 mm, thickness of 6.25 mm, and a gauge length of 50 mm was tested in tension to fracture according to ASTM E-8 method. The load and deformation data were as shown in Table P4.6. Using a spreadsheet program, obtain the following: a. A plot of the stress-strain relationship. Label the axes and show units. b. A plot of the linear portion of the stress-strain relationship. Determine the modulus of elasticity using the best fit approach. c. Proportional limit. d. Yield stress at an offset strain of 0.002 m/m. e. Tangent modulus at a stress of 450 MPa. f. Secant modulus at a stress of 450 MPa. TABLE P4.6 Load (kN) AL (mm) Load (kN) AL (mm) 33.5 1.486 3.3 0.025 35.3 2.189 14.0 0.115 37.8 3.390 25.0 0.220 39.8 4.829 29.0 0.406 40.8 5.961 30.6 0.705 41.6 7.386 31.7 0.981 41.2 8.047 32.7 1.245

An aluminum alloy bar with a rectangular cross section that has a width of 12.5 mm, thickness of 6.25 mm, and a gauge length of 50 mm was tested in tension to fracture according to ASTM E-8 method. The load and deformation data were as shown in Table P4.6. Using a spreadsheet program, obtain the following: a. A plot of the stress-strain relationship. Label the axes and show units. b. A plot of the linear portion of the stress-strain relationship. Determine the modulus of elasticity using the best fit approach. c. Proportional limit. d. Yield stress at an offset strain of 0.002 m/m. e. Tangent modulus at a stress of 450 MPa. f. Secant modulus at a stress of 450 MPa. TABLE P4.6 Load (kN) AL (mm) Load (kN) AL (mm) 33.5 1.486 3.3 0.025 35.3 2.189 14.0 0.115 37.8 3.390 25.0 0.220 39.8 4.829 29.0 0.406 40.8 5.961 30.6 0.705 41.6 7.386 31.7 0.981 41.2 8.047 32.7 1.245

Steel Design (Activate Learning with these NEW titles from Engineering!)

6th Edition

ISBN:9781337094740

Author:Segui, William T.

Publisher:Segui, William T.

Chapter1: Introduction

Section: Chapter Questions

Problem 1.5.6P: The data in Table 1.5.3 were obtained from a tensile test of a metal specimen with a rectangular...

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Three steel bars have a diameter of 25 mm and carbon contents of 0.2, 0.5, and 0.8%, respectively. The specimens were subjected to tension until rup- ture. The load versus deformation results were as shown in Table P3.19. If the gauge length is 50 mm, determine the following: a. The tensile stresses and strains for each specimen at each load increment. b. Plot stresses versus strains for all specimens on one graph. TABLE P3.19 Specimen No. Carbon Content (%) Deformation (mm) 1 2 3 0.2 0.5 0.8 Load (kN) 0.00 0.07 133 133 133 0.10 137 191 191 0.15 142 196 285 0.50 147 201 324 1.00 140 199 383 2,50 155 236 447 5.00 196 295 491 (Rupture) 7.50 226 336 10.00 241 341 12.50 218 304 (Rupture) 13.75 196 (Rupture) c. The proportional limit for each specimen. d. The 0.2% offset yield strength for each specimen. e. The modulus of elasticity for each specimen. f. The strain at rupture for each specimen. g. Comment on the effect of increasing the carbon content on the following: i. Yield strength ii.…
Three steel bars have a diameter of 25 mm and carbon contents of 0.2, 0.5, and 0.8%, respectively. The specimens were subjected to tension until rupture. The load versus deformation results were as shown in Table P3.19. If the gauge length is 50 mm, determine the following: a. The tensile stresses and strains for each specimen at each load increment. b. Plot stresses versus strains for all specimens on one graph. TABLE P3.19 Specimen No. Carbon Content (%) 1 3 0.2 0.5 0.8 Deformation (mm) Load (kN) 0.00 0.07 133 133 133 0.10 137 191 191 0.15 142 196 285 0.50 147 201 324 1.00 140 199 383 2.50 155 236 447 5.00 196 295 491 (Rupture) 7.50 226 336 10.00 241 341 12.50 218 304 (Rupture) 13.75 196 (Rupture) c. The proportional limit for each specimen. d. The 0.2% offset yield strength for each specimen. e. The modulus of elasticity for each specimen. f. The strain at rupture for each specimen. g. Comment on the effect of increasing the carbon content on the following: Yield strength ii.…