Homework Help is Here – Start Your Trial Now!
Engineering
Mechanical Engineering
Table 1 shows the stress-strain data for a new polymerie material rod subjected to an axial load. The last point is observed as the rupture point. Table 1: Stress-strain data for new polymeric material Strain, e Stress, s (Pa) (dimensionless) 32 0.1 59 0.2 75 0.3 86 0.4 104 0.5 120 0.6 129 0.7 125 0.8 114 0.9 97 a) Develop a best-fit equation for the relationship between stress and strain. Employ Naïve-Gauss elimination method whenever necessary. b) Determine the coefficient of determination for the equation. c) Calculate the stress value to the most accurate value at strain value 0.53. d) The yield point is the point on a stress-strain curve that indicates the limit of elastic behaviour and the beginning of plastic behavior. In this case, the yield point occurs at a stress value of 80. Determine the corresponding strain value at the yield point. In any relevant method, use a stopping criterion of 0.05%. e) The ultimate strength is the maximum point on the stress-strain curve. This corresponds to the maximum stress that can be sustained by a structure in tension. Compute the ultimate strength point of the polymeric material (strain value that gives maximum stress). In any relevant method, use a stopping criterion of 0.05%. f) Determine the absolute error between the calculated maximum concentration and the highest experimental data.

Table 1 shows the stress-strain data for a new polymerie material rod subjected to an axial load. The last point is observed as the rupture point. Table 1: Stress-strain data for new polymeric material Strain, e Stress, s (Pa) (dimensionless) 32 0.1 59 0.2 75 0.3 86 0.4 104 0.5 120 0.6 129 0.7 125 0.8 114 0.9 97 a) Develop a best-fit equation for the relationship between stress and strain. Employ Naïve-Gauss elimination method whenever necessary. b) Determine the coefficient of determination for the equation. c) Calculate the stress value to the most accurate value at strain value 0.53. d) The yield point is the point on a stress-strain curve that indicates the limit of elastic behaviour and the beginning of plastic behavior. In this case, the yield point occurs at a stress value of 80. Determine the corresponding strain value at the yield point. In any relevant method, use a stopping criterion of 0.05%. e) The ultimate strength is the maximum point on the stress-strain curve. This corresponds to the maximum stress that can be sustained by a structure in tension. Compute the ultimate strength point of the polymeric material (strain value that gives maximum stress). In any relevant method, use a stopping criterion of 0.05%. f) Determine the absolute error between the calculated maximum concentration and the highest experimental data.

Elements Of Electromagnetics
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
See similar textbooks
icon
Related questions
Question

Questions d) e) f), please provide full solution

Table 1 shows the stress-strain data for a new polymeric material rod subjected to an axial load. The last point is observed as the rupture point. Table 1: Stress-strain data for new polymeric material Strain, e Stress, s (Pa) (dimensionless) 32 0.1 59 0.2 75 0.3 86 0.4 104 0.5 120 0.6 129 0.7 125 0.8 114 0.9 97 Develop a best-fit equation for the relationship between stress and strain. Employ Naïve-Gauss elimination method whenever necessary. a) b) Determine the coefficient of determination for the equation. c) Calculate the stress value to the most accurate value at strain value 0.53. d) The yield point is the point on a stress-strain curve that indicates the limit of elastic behaviour and the beginning of plastic behavior. In this case, the yield point occurs at a stress value of 80. Determine the corresponding strain value at the yield point. In any relevant method, use a stopping criterion of 0.05%. e) The ultimate strength is the maximum point on the stress-strain curve. This corresponds to the maximum stress that can be sustained by a structure in tension. Compute the ultimate strength point of the polymeric material (strain value that gives maximum stress). In any relevant method, use a stopping criterion of 0.05%. f) Determine the absolute error between the calculated maximum concentration and the highest experimental data.
Transcribed Image Text:Table 1 shows the stress-strain data for a new polymeric material rod subjected to an axial load. The last point is observed as the rupture point. Table 1: Stress-strain data for new polymeric material Strain, e Stress, s (Pa) (dimensionless) 32 0.1 59 0.2 75 0.3 86 0.4 104 0.5 120 0.6 129 0.7 125 0.8 114 0.9 97 Develop a best-fit equation for the relationship between stress and strain. Employ Naïve-Gauss elimination method whenever necessary. a) b) Determine the coefficient of determination for the equation. c) Calculate the stress value to the most accurate value at strain value 0.53. d) The yield point is the point on a stress-strain curve that indicates the limit of elastic behaviour and the beginning of plastic behavior. In this case, the yield point occurs at a stress value of 80. Determine the corresponding strain value at the yield point. In any relevant method, use a stopping criterion of 0.05%. e) The ultimate strength is the maximum point on the stress-strain curve. This corresponds to the maximum stress that can be sustained by a structure in tension. Compute the ultimate strength point of the polymeric material (strain value that gives maximum stress). In any relevant method, use a stopping criterion of 0.05%. f) Determine the absolute error between the calculated maximum concentration and the highest experimental data.
Expert Solution
steps

Step by step

Solved in 2 steps with 1 images

SEE SOLUTIONCheck out a sample Q&A here
Blurred answer
Knowledge Booster
Dimensional Analysis
Learn more about
Need a deep-dive on the concept behind this application? Look no further. Learn more about this topic, mechanical-engineering and related others by exploring similar questions and additional content below.
Similar questions
  • SEE MORE QUESTIONS
Recommended textbooks for you
Elements Of Electromagnetics
Elements Of Electromagnetics
Mechanical Engineering
ISBN:
9780190698614
Author:
Sadiku, Matthew N. O.
Publisher:
Oxford University Press
Mechanics of Materials (10th Edition)
Mechanics of Materials (10th Edition)
Mechanical Engineering
ISBN:
9780134319650
Author:
Russell C. Hibbeler
Publisher:
PEARSON
Thermodynamics: An Engineering Approach
Thermodynamics: An Engineering Approach
Mechanical Engineering
ISBN:
9781259822674
Author:
Yunus A. Cengel Dr., Michael A. Boles
Publisher:
McGraw-Hill Education
Control Systems Engineering
Control Systems Engineering
Mechanical Engineering
ISBN:
9781118170519
Author:
Norman S. Nise
Publisher:
WILEY
Mechanics of Materials (MindTap Course List)
Mechanics of Materials (MindTap Course List)
Mechanical Engineering
ISBN:
9781337093347
Author:
Barry J. Goodno, James M. Gere
Publisher:
Cengage Learning
Engineering Mechanics: Statics
Engineering Mechanics: Statics
Mechanical Engineering
ISBN:
9781118807330
Author:
James L. Meriam, L. G. Kraige, J. N. Bolton
Publisher:
WILEY
SEE MORE TEXTBOOKS