You must perform mechanical tests with a linear elastic material (the material follows Hooke's law) applying forces (tension) in the range 0 to Fmax/2 for Sample A and between 0 to Fmax for Sample B. The samples are made of same material but have different geometries (see illustration). (a) Which of the two samples receives the maximum stress (σmax)? (b) Which of the two samples will have the larger length change (ΔLmax)? (c) Plot the expected curves for the two samples in the force-length and stress-strain planes. (d) Clearly indicate the values that the variables force, length, stress, and strain take at the beginning and end of each curve.

Elements Of Electromagnetics
7th Edition
ISBN:9780190698614
Author:Sadiku, Matthew N. O.
Publisher:Sadiku, Matthew N. O.
ChapterMA: Math Assessment
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You must perform mechanical tests with a linear elastic material (the material follows Hooke's law) applying forces (tension) in the range 0 to Fmax/2 for Sample A and between 0 to Fmax for Sample B. The samples are made of same material but have different geometries (see illustration). (a) Which of the two samples receives the maximum stress (σmax)? (b) Which of the two samples will have the larger length change (ΔLmax)? (c) Plot the expected curves for the two samples in the force-length and stress-strain planes. (d) Clearly indicate the values that the variables force, length, stress, and strain take at the beginning and end of each curve.

Muestra A Muestra B
max
OSFS
OSFSF max
A/2
0SFS
F
max
2
L/3
OSFSFmax
Fmax
Fuerza (force)
Fax
2
Longitud (length)
Omax
Esfuerzo (eng. stress)
Emax
Deformación (eng. strain)
Transcribed Image Text:Muestra A Muestra B max OSFS OSFSF max A/2 0SFS F max 2 L/3 OSFSFmax Fmax Fuerza (force) Fax 2 Longitud (length) Omax Esfuerzo (eng. stress) Emax Deformación (eng. strain)
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