d. the normal stress in region BC. Is the material within its linear-elastic region? Yes / No A recently developed Afordium, a new, inexpensive alloy for use in the airline industry. The rod shown is made of this new material. Its cross-sections are given (Ana = 7.5 x 10ʻm²for section AB and Anc= 3 x 10m² 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 B elongation of the rod? Indicate the permanent strain in 15 kN 15 kN - 600 mm 400 mm- the figure. Normal stress-strain a [MPa) Normal stress – strain 70 0 a (MPa) 70 60 60 50 40 30 50 20 40 10 30 0 Imm/mm) 0.05 0.1 0.15 0.2 20 10 0.2 0.25 (mm/mm) 0. 0.05 0.1 0.15 a. Identify the ultimate stress au 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.
d. the normal stress in region BC. Is the material within its linear-elastic region? Yes / No A recently developed Afordium, a new, inexpensive alloy for use in the airline industry. The rod shown is made of this new material. Its cross-sections are given (Ana = 7.5 x 10ʻm²for section AB and Anc= 3 x 10m² 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 B elongation of the rod? Indicate the permanent strain in 15 kN 15 kN - 600 mm 400 mm- the figure. Normal stress-strain a [MPa) Normal stress – strain 70 0 a (MPa) 70 60 60 50 40 30 50 20 40 10 30 0 Imm/mm) 0.05 0.1 0.15 0.2 20 10 0.2 0.25 (mm/mm) 0. 0.05 0.1 0.15 a. Identify the ultimate stress au 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.
Chapter2: Loads On Structures
Section: Chapter Questions
Problem 1P
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![d. the normal stress in region BC.
Is the material within its linear-elastic region? Yes / No
A recently developed Afordium, a new, inexpensive alloy for use in the
airline industry. The rod shown is made of this new material. Its cross-sections are given
(AAB = 7.5 x 104 m² for section AB and Asc = 3 x 104 m? 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.
B
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
400 mm
the figure.
Normal stress-strain
G (MPa]
70
Normal stress - strain
G [MPa]
70
60
50
40
60
30
50
20
40
10
30
[mm/mm]
0.
0.05
0.1
0.15
0.2
20
10
0.
E (mm/mm]
0.25
0.05
0.1
0.15
0.2
a. Identify the ultimate stress ou and the fracture stress or. 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.](/v2/_next/image?url=https%3A%2F%2Fcontent.bartleby.com%2Fqna-images%2Fquestion%2F12c0a0e9-4d98-45bb-8c42-bb6fd08d9097%2F779c1164-846d-4127-8bf5-fbbe2888b4e5%2Fn6wi56n_processed.png&w=3840&q=75)
Transcribed Image Text:d. the normal stress in region BC.
Is the material within its linear-elastic region? Yes / No
A recently developed Afordium, a new, inexpensive alloy for use in the
airline industry. The rod shown is made of this new material. Its cross-sections are given
(AAB = 7.5 x 104 m² for section AB and Asc = 3 x 104 m? 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.
B
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
400 mm
the figure.
Normal stress-strain
G (MPa]
70
Normal stress - strain
G [MPa]
70
60
50
40
60
30
50
20
40
10
30
[mm/mm]
0.
0.05
0.1
0.15
0.2
20
10
0.
E (mm/mm]
0.25
0.05
0.1
0.15
0.2
a. Identify the ultimate stress ou and the fracture stress or. 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.
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