A recently developed Afordium, a new, inexpensive alloy for use in the d. the normal stress in region BC. airline industry. The rod shown is made of this new material. Its cross-sections are given Is the material within its linear-elastic region? Yes / No (Ana = 7.5 x 10ʻm²for section AB and Asc = 3 x 10ʻ m² for section BC). The rod is Find the normal strain for region BC, indicate it in the stress-strain diagram, and use it to subjected to an axial load of 15 kN, as shown on the right. determine the elongation of section BC when the load is applied. The stress-strain diagram for Afordium is given below. The yield stress is at 40 MPa. e. Find the total elongation of the rod when the load is applied. f. If the load is removed, what is the remaining elongation of the rod? Indicate the permanent strain in 15 kN 15 kN - 600 mm the figure. 400 mm Normal stress – strain G [MPa] 70 Normal stress - strain a [MPa] 60 70| 50 60 40 30 50 20 40 10 30 0 Imm/mm] 0.05 0.1 0.15 0.2 20 10 [mm/mm] 0. 0.05 0.1 0.15 0.2 0.25 a. Identify the ultimate stress đu and the fracture stress ar. Include units. b. How do you find young's modulus from this graph? Find its value with units. c. Find the normal stress in region AB. Is the material within its linear-elastic region? Yes / No Calculate the normal strain for region AB, indicate it in the stress-strain diagram, and use it to determine the elongation of section AB when the load is applied.
A recently developed Afordium, a new, inexpensive alloy for use in the d. the normal stress in region BC. airline industry. The rod shown is made of this new material. Its cross-sections are given Is the material within its linear-elastic region? Yes / No (Ana = 7.5 x 10ʻm²for section AB and Asc = 3 x 10ʻ m² for section BC). The rod is Find the normal strain for region BC, indicate it in the stress-strain diagram, and use it to subjected to an axial load of 15 kN, as shown on the right. determine the elongation of section BC when the load is applied. The stress-strain diagram for Afordium is given below. The yield stress is at 40 MPa. e. Find the total elongation of the rod when the load is applied. f. If the load is removed, what is the remaining elongation of the rod? Indicate the permanent strain in 15 kN 15 kN - 600 mm the figure. 400 mm Normal stress – strain G [MPa] 70 Normal stress - strain a [MPa] 60 70| 50 60 40 30 50 20 40 10 30 0 Imm/mm] 0.05 0.1 0.15 0.2 20 10 [mm/mm] 0. 0.05 0.1 0.15 0.2 0.25 a. Identify the ultimate stress đu and the fracture stress ar. Include units. b. How do you find young's modulus from this graph? Find its value with units. c. Find the normal stress in region AB. Is the material within its linear-elastic region? Yes / No Calculate the normal strain for region AB, indicate it in the stress-strain diagram, and use it to determine the elongation of section AB when the load is applied.
Mechanics of Materials (MindTap Course List)
9th Edition
ISBN:9781337093347
Author:Barry J. Goodno, James M. Gere
Publisher:Barry J. Goodno, James M. Gere
Chapter7: Analysis Of Stress And Strain
Section: Chapter Questions
Problem 7.7.4P: An element of material in plain strain is subjected to strains x = 0.0015, , y . = -0.0002, and xy =...
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Engineering of Materials
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