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A bar of a steel alloy that exhibits the stress-strain behavior shown in Figure below is subjected to a tensile load; the specimen is 375 mm (14.8 in.) long and has a square cross section 5.5 mm (0.22 in.) on a side. Compute the magnitude of the load necessary to produce an elongation of 2.25 mm (0.088 in.).

A bar of a steel alloy that exhibits the stress-strain behavior shown in Figure below is subjected to a tensile load; the specimen is 375 mm (14.8 in.) long and has a square cross section 5.5 mm (0.22 in.) on a side. Compute the magnitude of the load necessary to produce an elongation of 2.25 mm (0.088 in.).

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
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**Text Transcription:** A bar of a steel alloy that exhibits the stress-strain behavior shown in Figure below is subjected to a tensile load; the specimen is 375 mm (14.8 in.) long and has a square cross section 5.5 mm (0.22 in.) on a side. Compute the magnitude of the load necessary to produce an elongation of 2.25 mm (0.088 in.). **Graph Explanation:** The graph displayed is a stress-strain curve for a steel alloy. It is a plot with the following features: - **Axes:** - The horizontal axis (x-axis) represents strain, which ranges from 0.000 to 0.080. - The vertical axis on the left (y-axis) represents stress in megapascals (MPa) ranging from 0 to 2000 MPa. - The vertical axis on the right (y-axis) is labeled in terms of stress in 10^3 pounds per square inch (psi), ranging from 0 to 300. - **Curve Description:** - The curve starts at the origin, indicating no initial stress or strain. - As strain increases, the stress sharply increases initially, indicating the elastic region of the material. - After reaching around 200 MPa (or 30,000 psi), the slope of the curve decreases, representing the beginning of plastic deformation. - The curve levels off and then slightly decreases, showing characteristics of necking and eventual breakage. - **Inset Graph:** - Includes a zoomed-in view of the initial portion of the stress-strain curve showing more detail. - This inset focuses on the elastic region up to a strain of around 0.015, corresponding to a stress level of around 1000 MPa (or approximately 150,000 psi).
Transcribed Image Text:**Text Transcription:** A bar of a steel alloy that exhibits the stress-strain behavior shown in Figure below is subjected to a tensile load; the specimen is 375 mm (14.8 in.) long and has a square cross section 5.5 mm (0.22 in.) on a side. Compute the magnitude of the load necessary to produce an elongation of 2.25 mm (0.088 in.). **Graph Explanation:** The graph displayed is a stress-strain curve for a steel alloy. It is a plot with the following features: - **Axes:** - The horizontal axis (x-axis) represents strain, which ranges from 0.000 to 0.080. - The vertical axis on the left (y-axis) represents stress in megapascals (MPa) ranging from 0 to 2000 MPa. - The vertical axis on the right (y-axis) is labeled in terms of stress in 10^3 pounds per square inch (psi), ranging from 0 to 300. - **Curve Description:** - The curve starts at the origin, indicating no initial stress or strain. - As strain increases, the stress sharply increases initially, indicating the elastic region of the material. - After reaching around 200 MPa (or 30,000 psi), the slope of the curve decreases, representing the beginning of plastic deformation. - The curve levels off and then slightly decreases, showing characteristics of necking and eventual breakage. - **Inset Graph:** - Includes a zoomed-in view of the initial portion of the stress-strain curve showing more detail. - This inset focuses on the elastic region up to a strain of around 0.015, corresponding to a stress level of around 1000 MPa (or approximately 150,000 psi).
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