Part A - Elastic strain energy equation Determine which equation below should be selected to make the analysis this problem simple and straightforward. > View Available Hint(s) O U; = fy (o? + of + o?) – #(0,0, +o,0,+0,02) + (Ty + r + + O U; = Sy (0 + f + o?) – #(0,0, – 0yo: – 0,0,) + (T + T + r) dV O U, = fv (o} + o} +of) – %(7,02 + 0203 + o,03)]aV Submit Previous Answers v Correct Part B - Elastic strain energy of the element We assume that this strain energy density strain energy of the element. uniform throughout the entire finite volume. We need to integrate over this volume to determine the total strain energy in the volume. Using this method, determine the elastic Express your answer to four significant figures and include appropriate units. > View Available Hint(s) U; = 1746 MPa

Part A - Elastic strain energy equation Determine which equation below should be selected to make the analysis this problem simple and straightforward. > View Available Hint(s) O U; = fy (o? + of + o?) – #(0,0, +o,0,+0,02) + (Ty + r + + O U; = Sy (0 + f + o?) – #(0,0, – 0yo: – 0,0,) + (T + T + r) dV O U, = fv (o} + o} +of) – %(7,02 + 0203 + o,03)]aV Submit Previous Answers v Correct Part B - Elastic strain energy of the element We assume that this strain energy density strain energy of the element. uniform throughout the entire finite volume. We need to integrate over this volume to determine the total strain energy in the volume. Using this method, determine the elastic Express your answer to four significant figures and include appropriate units. > View Available Hint(s) U; = 1746 MPa

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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Calculate the stiffness matrix for the Q8 element shown below. Make use of the shape functions in natural coordinates and the Jacobian calculated in previous problems. Use 2x2 Gaussian numerical integration. Use plane strain conditions (for unit thickness) with E=200E9 (MPa) and nu=0.25. The final answers is F1= 0.18452e12. I have attached my matlab code below. Please look thru it and correct it. Thanks. u=sym('u') %%ztav=sym('v') %%eta x1=1x2=2x3=3.5x4=3.6x5=4.0x6=2.3x7=1.2x8=0.8 y1=1y2=1y3=1.3y4=2.3y5=3.3y6=3.2y7=3.0y8=2.0X=[x1;x2;x3;x4;x5;x6;x7;x8]Y=[y1;y2;y3;y4;y5;y6;y7;y8]%% diff of ztaDN1Du=1/4*(1-v)*(2*u+v);DN2Du=-u*(1-v);DN3Du=1/4*(1-v)*(2*u-v);DN4Du=1/2*(1-v^2);DN5Du=1/4*(1+v)*(2*u+v);DN6Du=-u*(1+v);DN7Du=1/4*(1+v)*(2*u-v);DN8Du=-1/2*(1-v^2); %% diff of etaDN1Dv=1/4*(1-u)*(2*v+u);DN2Dv=-1/2*(1-u^2);DN3Dv=1/4*(1+u)*(2*v-u);DN4Dv=-v*(1+u);DN5Dv=1/4*(1+u)*(2*v+u);DN6Dv=1/2*(1-u^2);DN7Dv=1/4*(1-u)*(2*v+u);DN8Dv=-v*(1-u);%% find dx/du dx/dv, dy/du and dy/dva=[DN1Du, DN2Du, DN3Du,…
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