Learning Goal:A material is homogenous and isotropic when it has a modulus ofelasticity that does not vary with direction and it has uniformproperties throughout. When a point in a material is subjected toonly normal stresses in three dimensions, but they are notnecessarily equal, the state is called triaxial stress. When theresponse of the material is linear elastic, the strains along thethree axes can be calculated using a generalized form of Hooke'slaw. Each strain depends on all three stresses because of thePoisson effect.€1Figure1[0₂ - V (O₂ +0₂)]a1 of 1A cube is subjected to stresses with magnitudes a = 16 MPa, b = 26 MPa, and c = 5 MPa (Figure 1). What is the strain in the y-direction? Let E = 200 GPaand v= 0.26.Express your answer to three significant figures.► View Available Hint(s)SubmitVE ΑΣΦPart B - Change in volumefchange in volume =vecThe cube from Part A originally has side length 3.2 cm . What is the change in volume of the cube under the given stresses?Express your answer with appropriate units to three significant figures.► View Available Hint(s)μAValue2.Unitswww. ?8 A point in a material experiences strain € = 200(10-6). The strains along the other two axes are zero. What is the stress in the z-direction? Use E = 200 GPaand 0.26.Express your answer with appropriate units to three significant figures.►View Available Hint(s)Oz =ValueAfUnitsMERESE?

Note:- The last question is not interlinked.As per honor code and answering guidelines I can answer…

Learning Goal: A material is homogenous and isotropic when it has a modulus of elasticity that does not vary with direction and it has uniform properties throughout. When a point in a material is subjected to only normal stresses in three dimensions, but they are not necessarily equal, the state is called triaxial stress. When the response of the material is linear elastic, the strains along the three axes can be calculated using a generalized form of Hooke's law Each strain depends on all three stresses because of the Poisson effect - Flo, v (a₂ + a₂)] - ty=. Figure < 1 of 1 A cube is subjected to stresses with magnitudes a = 16 MPa, b= 26 MPa, and c= 5 MPa (Eigure 1) What is the strain in the y-direction? Let = 200 GPa and = 0.26 Express your answer to three significant figures. View Available Hint(s) ▸ €y = Submit VAXI vec ▼ Part B - Change in volume ▸ View Available Hint(s) The cube from Part A originally has side length 3.2 cm. What is the change in volume of the cube under the given stresses? Express your answer with appropriate units to three significant figures. change in volume = 4 Value @ 5 d ? Units ? C

Learning Goal: A material is homogenous and isotropic when it has a modulus of elasticity that does not vary with direction and it has uniform properties throughout. When a point in a material is subjected to only normal stresses in three dimensions, but they are not necessarily equal, the state is called triaxial stress. When the response of the material is linear elastic, the strains along the three axes can be calculated using a generalized form of Hooke's law Each strain depends on all three stresses because of the Poisson effect - Flo, v (a₂ + a₂)] - ty=. Figure < 1 of 1 A cube is subjected to stresses with magnitudes a = 16 MPa, b= 26 MPa, and c= 5 MPa (Eigure 1) What is the strain in the y-direction? Let = 200 GPa and = 0.26 Express your answer to three significant figures. View Available Hint(s) ▸ €y = Submit VAXI vec ▼ Part B - Change in volume ▸ View Available Hint(s) The cube from Part A originally has side length 3.2 cm. What is the change in volume of the cube under the given stresses? Express your answer with appropriate units to three significant figures. change in volume = 4 Value @ 5 d ? Units ? C

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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