Answered: To manufacture a piston with a circular…

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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To manufacture a piston with a circular cross section, an alloy steel bar is required whose length is fixed and has a value of 35 cm and must withstand a compression load of 5.2 tons. For its design, a safety factor of 4/5 is suggested with respect to the yield stress. The shear modulus for that alloy is 80 GPa.
To know the resistance of this steel alloy, a compression test was carried out on a specimen of the same material, from this test the data table of stress against engineering deformation shown was obtained.

Image 1

1) Calculate the increase in the diameter of the bar when the load is applied
2) Define the Poisson's ratio and calculate its value

Unit
Stress
deformation
(mm/mm)
(MPa)
0.001
206.8
0.002
413.7
0.003
434.4
0.004
441.3
0.005
441.3
0.006
441.3
0.007
441.3
0.05
620.5
0.1
668.8
0.15
682.6
0.2
689.5
0.25
641.2
0.3
572.3
0.35
511.6

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