Question 1: Structure of materials and deformation In a uniaxial tensile-testing experiment, samples of different materials were and tested. However, the scientist forgot to place identification markers on the samples. Figure 1 shows a sketch of the four (i) - (iv) tensile samples. F (i) F (ii) F (iii) F (iv) F Initial sample F F F F F Figure 1: The tensile samples, before and after testing. 'F' stands for applied force. a) Hypothesise with explanation, which class of materials each sample might belong to. (up to 200 words) [8 marks] b) Draw four "engineering stress-strain" diagrams to illustrate the deformation behaviour of each sample. [4 marks] c) What is true stress and true strain? To represent material behaviour at large strains, sketch a true stress-strain diagram that shows work hardening until fracture occurs. Draw and compare a true stress-strain diagram and a corresponding engineering stress-strain diagram. [8 marks] d) It is thought that Sample (i) might be a medium carbon steel. Assume that the ultimate tensile strength is 550 MPa at room temperature. What is the maximum force over the cylindrical rod of 20 mm diameter one can use to pull the rod before it fails? [5 marks]
Question 1: Structure of materials and deformation In a uniaxial tensile-testing experiment, samples of different materials were and tested. However, the scientist forgot to place identification markers on the samples. Figure 1 shows a sketch of the four (i) - (iv) tensile samples. F (i) F (ii) F (iii) F (iv) F Initial sample F F F F F Figure 1: The tensile samples, before and after testing. 'F' stands for applied force. a) Hypothesise with explanation, which class of materials each sample might belong to. (up to 200 words) [8 marks] b) Draw four "engineering stress-strain" diagrams to illustrate the deformation behaviour of each sample. [4 marks] c) What is true stress and true strain? To represent material behaviour at large strains, sketch a true stress-strain diagram that shows work hardening until fracture occurs. Draw and compare a true stress-strain diagram and a corresponding engineering stress-strain diagram. [8 marks] d) It is thought that Sample (i) might be a medium carbon steel. Assume that the ultimate tensile strength is 550 MPa at room temperature. What is the maximum force over the cylindrical rod of 20 mm diameter one can use to pull the rod before it fails? [5 marks]
Elements Of Electromagnetics
7th Edition
ISBN:9780190698614
Author:Sadiku, Matthew N. O.
Publisher:Sadiku, Matthew N. O.
ChapterMA: Math Assessment
Section: Chapter Questions
Problem 1.1MA
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![Question 1: Structure of materials and deformation
In a uniaxial tensile-testing experiment, samples of different materials were and tested.
However, the scientist forgot to place identification markers on the samples. Figure 1 shows
a sketch of the four (i) - (iv) tensile samples.
F
(i) F
(ii) F
(iii) F
(iv) F
Initial sample
F
F
F
F
F
Figure 1: The tensile samples, before and after testing. 'F' stands for applied force.
a) Hypothesise with explanation, which class of materials each sample might belong to.
(up to 200 words)
[8 marks]
b) Draw four "engineering stress-strain" diagrams to illustrate the deformation behaviour
of each sample.
[4 marks]
c) What is true stress and true strain? To represent material behaviour at large strains,
sketch a true stress-strain diagram that shows work hardening until fracture occurs.
Draw and compare a true stress-strain diagram and a corresponding engineering
stress-strain diagram.
[8 marks]
d) It is thought that Sample (i) might be a medium carbon steel. Assume that the ultimate
tensile strength is 550 MPa at room temperature. What is the maximum force over the
cylindrical rod of 20 mm diameter one can use to pull the rod before it fails?
[5 marks]](/v2/_next/image?url=https%3A%2F%2Fcontent.bartleby.com%2Fqna-images%2Fquestion%2F4b995fb6-0105-410c-a398-9564236d4729%2F95331496-23df-4e00-917c-d13fa92a2d9f%2Fihwdgdp_processed.png&w=3840&q=75)
Transcribed Image Text:Question 1: Structure of materials and deformation
In a uniaxial tensile-testing experiment, samples of different materials were and tested.
However, the scientist forgot to place identification markers on the samples. Figure 1 shows
a sketch of the four (i) - (iv) tensile samples.
F
(i) F
(ii) F
(iii) F
(iv) F
Initial sample
F
F
F
F
F
Figure 1: The tensile samples, before and after testing. 'F' stands for applied force.
a) Hypothesise with explanation, which class of materials each sample might belong to.
(up to 200 words)
[8 marks]
b) Draw four "engineering stress-strain" diagrams to illustrate the deformation behaviour
of each sample.
[4 marks]
c) What is true stress and true strain? To represent material behaviour at large strains,
sketch a true stress-strain diagram that shows work hardening until fracture occurs.
Draw and compare a true stress-strain diagram and a corresponding engineering
stress-strain diagram.
[8 marks]
d) It is thought that Sample (i) might be a medium carbon steel. Assume that the ultimate
tensile strength is 550 MPa at room temperature. What is the maximum force over the
cylindrical rod of 20 mm diameter one can use to pull the rod before it fails?
[5 marks]
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