University of Florida/Eml4507/Team 7 Report 6
Problem 1
[edit | edit source]On our honor, we did this assignment on our own, without looking at the solutions in previous semesters or other online solutions.
Find
[edit | edit source]Solve the general eigenvalue problem by first converting it to the standard eigenvalue problem for the spring-mass-damper system given on p.53-13 of 'Fead.s13.sec.53b'.
Given
[edit | edit source]
Solution
[edit | edit source]Converting the general eigenvalue problem to the standard eigenvalue problem and solving it
General eigenvalue form:
Standard eigenvalue form:
Where,
Calculating the determinant
Therefore, the Eigenvalues are:
The next step is finding the Eigenvectors
Letting and calculating
Letting and calculating
These results compare favorably with those from problem 5.6 using CALFEM.
Mass Orthogonality:
The eigenvectors are therefore proven to be mass-orthogonal.
Problem 2
[edit | edit source]On our honor, we did this assignment on our own, without looking at the solutions in previous semesters or other online solutions.
Find
[edit | edit source]The Lowest 3 eigenpairs by transforming the generalized eigenvalue problem into a standard eigenvalue problem and plot the 3 lowest mode shapes in a gif image.
Given
[edit | edit source]
Solution
[edit | edit source]clear clc %GIVENS L=0.3; E=100e9; A=1e-4; rho=5000; ep=[E A]; %ELEMENT DOF Edof=zeros(25,5); for i=1:6 j=2*(i-1); Edof(i,:)=[i,1+j,2+j,3+j,4+j]; end for i=7:12 j=2*(i+1); Edof(i,:)=[i,j-1,j,j+1,j+2]; end for i=13:19 j=2*(i-13); Edof(i,:)=[i,1+j,2+j,15+j,16+j]; end for i=20:25 j=2*(i-20); Edof(i,:)=[i,1+j,2+j,17+j,18+j]; end %COORDINATES ex=zeros(14,2); ey=zeros(14,2); for i=1:25 if i<7 ex(i,:)=[L*(i-1),L*i]; ey(i,:)=[0,0]; elseif i>6&&i<13 ex(i,:)=[L*(i-7),L*(i-6)]; ey(i,:)=[L,L]; elseif i>12&&i<20 ex(i,:)=[L*(i-13),L*(i-13)]; ey(i,:)=[0,L]; else ex(i,:)=[L*(i-20),L*(i-19)]; ey(i,:)=[0,L]; end end %STIFFNESS AND MASS MATRIX K=zeros(28); M=zeros(28); for i=1:25 E=ep(1);A=ep(2); xt=ex(i,2)-ex(i,1); yt=ey(i,2)-ey(i,1); L=sqrt(xt^2+yt^2); l=xt/L; m=yt/L; ke=E*A/L*[l^2 l*m -l^2 -l*m; l*m m^2 -l*m -m^2; -l^2 -l*m l^2 l*m; -l*m -m^2 l*m m^2;]; m=L*A*rho; me=[m/2 0 0 0; 0 m/2 0 0; 0 0 m/2 0; 0 0 0 m/2]; edoft=Edof(i,2:5); K(edoft,edoft)=K(edoft,edoft)+ke; M(edoft,edoft)=M(edoft,edoft)+me; end %FIND THE EIGEN VALUES AND VECTORS ndof=size(K,1); freedof=[1:ndof]'; fixdof=[1 15 16]'; freedof(fixdof(:))=[]; Kred=K(freedof,freedof); Mred=M(freedof,freedof); Ks=Mred^(-1/2)*Kred*Mred^(-1/2); [X1,D1]=eig(Ks); X2=Mred^(-1/2)*X1; for j=1:size(X2) d=sqrt(X2(:,j)'*X2(:,j)); X3(:,j)=X2(:,j)/d; end [D1,i]=sort(diag(D1)); X4=X3(:,i); eigenval=D1; eigenvec=zeros(size(K,1),size(X4,1)); eigenvec(freedof,:)=X4; %PLOT THE GIF for kk=1:3 eigenvalx=eigenval(kk); eigenvecx=eigenvec(:,kk); w=sqrt(eigenvalx); T=2*pi/w dt=T/100; t=0:dt:T; figure(kk) if kk==1; filename = 'mode1 r5p2.gif'; elseif kk==2; filename = 'mode2 r5p2.gif'; elseif kk==3; filename = 'mode3 r5p2.gif'; end for jj = 1:100 tt=t(jj); d=eigenvecx*sin(w*tt); d=d'; rr=Edof(:,2:5); ed=zeros(25,4); for i=1:25; ed(i,1:4)=d(rr(i,:)); end xd=(ex+ed(:,[1 3]))'; yd=(ey+ed(:,[2 4]))'; s1=['-' , 'k']; axis manual plot(xd,yd,s1) set(gca, 'ylim', [-1.5 1.5], 'xlim', [0 3]); drawnow frame = getframe(1); im = frame2im(frame); [imind,cm] = rgb2ind(im,256); if jj == 1; imwrite(imind,cm,filename,'gif', 'Loopcount',inf); else imwrite(imind,cm,filename,'gif','WriteMode','append'); end end end
The resulting egienpairs are:
The mode shapes for the previous eigenpairs are"
Problem 3
[edit | edit source]On our honor, the solution to this problem was generated by referring to the solution to Problem 3.1 at these locations: Eml4507 Team7 Report3,
Team Negative Damping (3): Report 3, Eml4507.s13.team2/Report3, and EML4507.s13.team4ever.R3. Their solutions were not copied, but consulted.
Find
[edit | edit source]Using FE matlab code, with non-zero prescribed displacement degrees-of-freedom, using the same "connectivity array" given in the same problem statement, provide all of the unknown global displacement degrees-of-freedom, force components(reactions), and member forces. Plot the deformed shape superposed on the undeformed shape. Verify the results with CALFEM.
Compare the reactions in the case of non-zero prescribed disp dofs with the reactions in the case of zero prescribed disp dofs.
Given
[edit | edit source]In the non-zero prescribed case:
In the zero prescribed case:
Solution
[edit | edit source]MATLAB code:
%Displacements d3= 0.02; %in m d4= -0.01; d5= -0.03; d6= 0.05; d7 = 0; d8 = 0; ph1= 0; ph2 = 0; dsmall = [d3; d4; d5; d6;]; %ph =placeholder, displacement unknown theta=45; %Property Matrix= [element number; EA/L; angle;]; P = [1:3; 10^5*206 10^5*206 10^5*206; -pi/6 pi/2 -5*pi/6;]; %angles refer to 1->3, 1->2, 1->4 %Global Coordinate System GNC = [ 0, 0; 0, 1; .866, -.5; -.866, -.5;]; lm = [.866, -.5; 0 , 1; -.866, -.5;]; %populate global force matrix dof = 8; %4 nodes, 2 directions reach F = zeros(dof,1); F(1) = 20000*cos(pi/4); F(2) = 20000*sin(pi/4); %populate stiffness matrices lsq1 = (lm(1,1))^2; msq1 = (lm(1,2))^2; ltimesm1 = lm(1,1)*lm(1,2); Ke1 = [ lsq1, ltimesm1, 0, 0, -lsq1, -ltimesm1, 0, 0; ltimesm1, msq1, 0, 0 -ltimesm1, -msq1, 0, 0; 0, 0, 0, 0, 0, 0, 0, 0; 0, 0, 0, 0, 0, 0, 0, 0; -lsq1, -ltimesm1, 0, 0, lsq1, ltimesm1, 0, 0; -ltimesm1, -msq1, 0, 0, ltimesm1, msq1, 0, 0; 0, 0, 0, 0, 0, 0, 0, 0; 0, 0, 0, 0, 0, 0, 0, 0;]; lsq2 = (lm(2,1))^2; msq2 = (lm(2,2))^2; ltimesm2 = lm(2,1)*lm(2,2); Ke2 = [ lsq2, ltimesm2, -lsq2, -ltimesm2, 0, 0, 0, 0; ltimesm2, msq2, -ltimesm2, -msq2, 0, 0, 0, 0; -lsq2, -ltimesm2, lsq2, ltimesm2, 0, 0, 0, 0; -ltimesm2, -msq2, ltimesm2, msq2, 0, 0, 0, 0; 0, 0, 0, 0, 0, 0, 0, 0; 0, 0, 0, 0, 0, 0, 0, 0; 0, 0, 0, 0, 0, 0, 0, 0; 0, 0, 0, 0, 0, 0, 0, 0;]; lsq3 = (lm(3,1))^2; msq3 = (lm(3,2))^2; ltimesm3 = lm(3,1)*lm(3,2); Ke3 = [ lsq3, ltimesm3, 0, 0, 0, 0, -lsq3, -ltimesm3; ltimesm3, msq3, 0, 0, 0, 0, -ltimesm3, -msq3; 0, 0, 0, 0, 0, 0, 0, 0; 0, 0, 0, 0, 0, 0, 0, 0; 0, 0, 0, 0, 0, 0, 0, 0; 0, 0, 0, 0, 0, 0, 0, 0; -lsq3, -ltimesm3, 0, 0, 0, 0, lsq3, ltimesm3; -ltimesm3, -msq3, 0, 0, 0, 0, ltimesm3, msq3;]; Kglobal = P(2,1)*(Ke1+Ke2+Ke3) %find unknown displacements, after reducing Fsmall = [F(1) F(2)]'; Ksmall = zeros([2,6]); for i=1:2 for j=1:6 Ksmall (i,j) = Kglobal((i+1),j); end end unknownds = Ksmall\Fsmall d1 = unknownds(1); d2 = unknownds(2); Ksmall2 = zeros([4,4]); for i=1:4 for j=1:4 Ksmall2 (i,j) = Kglobal((i+1),j); end end unknownFs = Ksmall2* dsmall P1 = 10^5*206*.866*(d5-d1)-.5*(d6-d2) P2 = 10^10*206*0*(d3-d1)-1*(d4-d2) P3 = 10^10*206*-.866*(d7-d1)-.5*(d8-d2)
Resulting in:
Kglobal =
Columns 1 through 7
3.0898e+07 0 0 0 -1.5449e+07 8.9198e+06 -1.5449e+07 0 3.09e+07 0 -2.06e+07 8.9198e+06 -5.15e+06 -8.9198e+06 0 0 0 0 0 0 0 0 -2.06e+07 0 2.06e+07 0 0 0 -1.5449e+07 8.9198e+06 0 0 1.5449e+07 -8.9198e+06 0 8.9198e+06 -5.15e+06 0 0 -8.9198e+06 5.15e+06 0 -1.5449e+07 -8.9198e+06 0 0 0 0 1.5449e+07 -8.9198e+06 -5.15e+06 0 0 0 0 8.9198e+06
Column 8
-8.9198e+06 -5.15e+06 0 0 0 0 8.9198e+06 5.15e+06
unknownds =
0.00045767 0.00045767
unknownFs =
-1.339e+06 0 1.236e+06 -3.9818e+05
P1 =
-5.3519e+05
P2 =
1045.8
P3 =
22.884
In the zero case:
In the zero prescribed case:
Simply strike the rows and columns, resulting in:
unknownds =
0.00045767 0.00045767
All the outer node reactions are zero, since their displacements are zero.
P1 =
-0.34500e+05
P2 =
-0.94400e+05
P3 =
1.29000e+05
Problem 4
[edit | edit source]On our honor, we did this assignment on our own, without looking at the solutions in previous semesters or other online solutions.
Find
[edit | edit source]Solve the initial truss structure using truss FEs
Given
[edit | edit source]Solution
[edit | edit source]function FEAr6p4 nodelocation=[-1.5 0 8; 1.5 0 8; -1.5 1.5 4; 1.5 1.5 4; 1.5 -1.5 4; -1.5 -1.5 4; -4 4 0; 4 4 0; 4 -4 0; -4 -4 0]; %INPUT: ex = [-1.5 1.5] % ey = [0 0] element node coordinates % ez = [z1 z2] % % ep = [E A] E: Young's modulus % A: cross section area % ex=[nodelocation(1,1) nodelocation(2,1); nodelocation(4,1) nodelocation(1,1); nodelocation(3,1) nodelocation(2,1); nodelocation(5,1) nodelocation(1,1); nodelocation(6,1) nodelocation(2,1); nodelocation(4,1) nodelocation(2,1); nodelocation(5,1) nodelocation(2,1); nodelocation(3,1) nodelocation(1,1); nodelocation(6,1) nodelocation(1,1); nodelocation(6,1) nodelocation(3,1); nodelocation(5,1) nodelocation(4,1); nodelocation(4,1) nodelocation(3,1); nodelocation(6,1) nodelocation(5,1); nodelocation(10,1) nodelocation(3,1); nodelocation(7,1) nodelocation(6,1); nodelocation(9,1) nodelocation(4,1); nodelocation(8,1) nodelocation(5,1); nodelocation(7,1) nodelocation(4,1); nodelocation(8,1) nodelocation(3,1); nodelocation(10,1) nodelocation(5,1); nodelocation(9,1) nodelocation(6,1); nodelocation(10,1) nodelocation(6,1); nodelocation(7,1) nodelocation(3,1); nodelocation(8,1) nodelocation(4,1); nodelocation(9,1) nodelocation(5,1);]; ey=[nodelocation(1,2) nodelocation(2,2); nodelocation(4,2) nodelocation(1,2); nodelocation(3,2) nodelocation(2,2); nodelocation(5,2) nodelocation(1,2); nodelocation(6,2) nodelocation(2,2); nodelocation(4,2) nodelocation(2,2); nodelocation(5,2) nodelocation(2,2); nodelocation(3,2) nodelocation(1,2); nodelocation(6,2) nodelocation(1,2); nodelocation(6,2) nodelocation(3,2); nodelocation(5,2) nodelocation(4,2); nodelocation(4,2) nodelocation(3,2); nodelocation(6,2) nodelocation(5,2); nodelocation(10,2) nodelocation(3,2); nodelocation(7,2) nodelocation(6,2); nodelocation(9,2) nodelocation(4,2); nodelocation(8,2) nodelocation(5,2); nodelocation(7,2) nodelocation(4,2); nodelocation(8,2) nodelocation(3,2); nodelocation(10,2) nodelocation(5,2); nodelocation(9,2) nodelocation(6,2); nodelocation(10,2) nodelocation(6,2); nodelocation(7,2) nodelocation(3,2); nodelocation(8,2) nodelocation(4,2); nodelocation(9,2) nodelocation(5,2);]; ez=[nodelocation(1,3) nodelocation(2,3); nodelocation(4,3) nodelocation(1,3); nodelocation(3,3) nodelocation(2,3); nodelocation(5,3) nodelocation(1,3); nodelocation(6,3) nodelocation(2,3); nodelocation(4,3) nodelocation(2,3); nodelocation(5,3) nodelocation(2,3); nodelocation(3,3) nodelocation(1,3); nodelocation(6,3) nodelocation(1,3); nodelocation(6,3) nodelocation(3,3); nodelocation(5,3) nodelocation(4,3); nodelocation(4,3) nodelocation(3,3); nodelocation(6,3) nodelocation(5,3); nodelocation(10,3) nodelocation(3,3); nodelocation(7,3) nodelocation(6,3); nodelocation(9,3) nodelocation(4,3); nodelocation(8,3) nodelocation(5,3); nodelocation(7,3) nodelocation(4,3); nodelocation(8,3) nodelocation(3,3); nodelocation(10,3) nodelocation(5,3); nodelocation(9,3) nodelocation(6,3); nodelocation(10,3) nodelocation(6,3); nodelocation(7,3) nodelocation(3,3); nodelocation(8,3) nodelocation(4,3); nodelocation(9,3) nodelocation(5,3);]; E=3*10^7; A=0.0218; B=zeros(3, 25); Kefinal=zeros(25,1); for i=1:25 B(1,i)=ex(i,2)-ex(i,1) ; B(2,i)= ey(i,2)-ey(i,1); B(3,i)=ez(i,2)-ez(i,1) ; for i=1:25 l=B(:,i); L=sqrt(l'*l); Kle=E*A/L*[1 -1; -1 1]; n=l'/L G=[ n zeros(size(n)); zeros(size(n)) n ]; Ke=G'*Kle*G end end % b=B*B' % L=sqrt(b) % Kle=E*A/L*[1 -1; % -1 1]; % % n=B'/L; % G=[ n zeros(size(n)); % zeros(size(n)) n ] % % Ke=G'*Kle*G; OUTPUT: Columns 1 through 4 1.0745 -2.3640 1.7192 -1.0745 -2.3640 5.2007 -3.7823 2.3640 1.7192 -3.7823 2.7508 -1.7192 -1.0745 2.3640 -1.7192 1.0745 2.3640 -5.2007 3.7823 -2.3640 -1.7192 3.7823 -2.7508 1.7192 Columns 5 through 6 2.3640 -1.7192 -5.2007 3.7823 3.7823 -2.7508 -2.3640 1.7192 5.2007 -3.7823 -3.7823 2.7508 Ke = NaN NaN NaN NaN NaN NaN NaN NaN NaN NaN NaN NaN NaN NaN NaN NaN NaN NaN NaN NaN NaN NaN NaN NaN NaN NaN NaN NaN NaN NaN NaN NaN NaN NaN NaN NaN Ke = NaN NaN NaN NaN NaN NaN NaN NaN NaN NaN NaN NaN NaN NaN NaN NaN NaN NaN NaN NaN NaN NaN NaN NaN NaN NaN NaN NaN NaN NaN NaN NaN NaN NaN NaN NaN Ke = NaN NaN NaN NaN NaN NaN NaN NaN NaN NaN NaN NaN NaN NaN NaN NaN NaN NaN NaN NaN NaN NaN NaN NaN NaN NaN NaN NaN NaN NaN NaN NaN NaN NaN NaN NaN Ke = NaN NaN NaN NaN NaN NaN NaN NaN NaN NaN NaN NaN NaN NaN NaN NaN NaN NaN NaN NaN NaN NaN NaN NaN NaN NaN NaN NaN NaN NaN NaN NaN NaN NaN NaN NaN Ke = NaN NaN NaN NaN NaN NaN NaN NaN NaN NaN NaN NaN NaN NaN NaN NaN NaN NaN NaN NaN NaN NaN NaN NaN NaN NaN NaN NaN NaN NaN NaN NaN NaN NaN NaN NaN Ke = NaN NaN NaN NaN NaN NaN NaN NaN NaN NaN NaN NaN NaN NaN NaN NaN NaN NaN NaN NaN NaN NaN NaN NaN NaN NaN NaN NaN NaN NaN NaN NaN NaN NaN NaN NaN Ke = NaN NaN NaN NaN NaN NaN NaN NaN NaN NaN NaN NaN NaN NaN NaN NaN NaN NaN NaN NaN NaN NaN NaN NaN NaN NaN NaN NaN NaN NaN NaN NaN NaN NaN NaN NaN Ke = NaN NaN NaN NaN NaN NaN NaN NaN NaN NaN NaN NaN NaN NaN NaN NaN NaN NaN NaN NaN NaN NaN NaN NaN NaN NaN NaN NaN NaN NaN NaN NaN NaN NaN NaN NaN Ke = NaN NaN NaN NaN NaN NaN NaN NaN NaN NaN NaN NaN NaN NaN NaN NaN NaN NaN NaN NaN NaN NaN NaN NaN NaN NaN NaN NaN NaN NaN NaN NaN NaN NaN NaN NaN Ke = NaN NaN NaN NaN NaN NaN NaN NaN NaN NaN NaN NaN NaN NaN NaN NaN NaN NaN NaN NaN NaN NaN NaN NaN NaN NaN NaN NaN NaN NaN NaN NaN NaN NaN NaN NaN Ke = Columns 1 through 3 218000 0 0 0 0 0 0 0 0 -218000 0 0 0 0 0 0 0 0 Columns 4 through 6 -218000 0 0 0 0 0 0 0 0 218000 0 0 0 0 0 0 0 0 Ke = 1.0e+004 * Columns 1 through 4 4.1378 2.0689 -5.5171 -4.1378 2.0689 1.0345 -2.7585 -2.0689 -5.5171 -2.7585 7.3561 5.5171 -4.1378 -2.0689 5.5171 4.1378 -2.0689 -1.0345 2.7585 2.0689 5.5171 2.7585 -7.3561 -5.5171 Columns 5 through 6 -2.0689 5.5171 -1.0345 2.7585 2.7585 -7.3561 2.0689 -5.5171 1.0345 -2.7585 -2.7585 7.3561 Ke = 1.0e+004 * Columns 1 through 4 4.1378 -2.0689 5.5171 -4.1378 -2.0689 1.0345 -2.7585 2.0689 5.5171 -2.7585 7.3561 -5.5171 -4.1378 2.0689 -5.5171 4.1378 2.0689 -1.0345 2.7585 -2.0689 -5.5171 2.7585 -7.3561 5.5171 Columns 5 through 6 2.0689 -5.5171 -1.0345 2.7585 2.7585 -7.3561 -2.0689 5.5171 1.0345 -2.7585 -2.7585 7.3561 Ke = 1.0e+004 * Columns 1 through 4 4.1378 -2.0689 -5.5171 -4.1378 -2.0689 1.0345 2.7585 2.0689 -5.5171 2.7585 7.3561 5.5171 -4.1378 2.0689 5.5171 4.1378 2.0689 -1.0345 -2.7585 -2.0689 5.5171 -2.7585 -7.3561 -5.5171 Columns 5 through 6 2.0689 5.5171 -1.0345 -2.7585 -2.7585 -7.3561 -2.0689 -5.5171 1.0345 2.7585 2.7585 7.3561 Ke = 1.0e+004 * Columns 1 through 4 4.1378 2.0689 5.5171 -4.1378 2.0689 1.0345 2.7585 -2.0689 5.5171 2.7585 7.3561 -5.5171 -4.1378 -2.0689 -5.5171 4.1378 -2.0689 -1.0345 -2.7585 2.0689 -5.5171 -2.7585 -7.3561 5.5171 Columns 5 through 6 -2.0689 -5.5171 -1.0345 -2.7585 -2.7585 -7.3561 2.0689 5.5171 1.0345 2.7585 2.7585 7.3561 Ke = 1.0e+005 * Columns 1 through 4 0 0 0 0 0 0.1887 -0.5033 0 0 -0.5033 1.3422 0 0 0 0 0 0 -0.1887 0.5033 0 0 0.5033 -1.3422 0 Columns 5 through 6 0 0 -0.1887 0.5033 0.5033 -1.3422 0 0 0.1887 -0.5033 -0.5033 1.3422 Ke = 1.0e+005 * Columns 1 through 4 0 0 0 0 0 0.1887 0.5033 0 0 0.5033 1.3422 0 0 0 0 0 0 -0.1887 -0.5033 0 0 -0.5033 -1.3422 0 Columns 5 through 6 0 0 -0.1887 -0.5033 -0.5033 -1.3422 0 0 0.1887 0.5033 0.5033 1.3422 Ke = 1.0e+005 * Columns 1 through 4 0 0 0 0 0 0.1887 -0.5033 0 0 -0.5033 1.3422 0 0 0 0 0 0 -0.1887 0.5033 0 0 0.5033 -1.3422 0 Columns 5 through 6 0 0 -0.1887 0.5033 0.5033 -1.3422 0 0 0.1887 -0.5033 -0.5033 1.3422 Ke = 1.0e+005 * Columns 1 through 4 0 0 0 0 0 0.1887 0.5033 0 0 0.5033 1.3422 0 0 0 0 0 0 -0.1887 -0.5033 0 0 -0.5033 -1.3422 0 Columns 5 through 6 0 0 -0.1887 -0.5033 -0.5033 -1.3422 0 0 0.1887 0.5033 0.5033 1.3422 Ke = Columns 1 through 3 0 0 0 0 218000 0 0 0 0 0 0 0 0 -218000 0 0 0 0 Columns 4 through 6 0 0 0 0 -218000 0 0 0 0 0 0 0 0 218000 0 0 0 0 Ke = Columns 1 through 3 0 0 0 0 218000 0 0 0 0 0 0 0 0 -218000 0 0 0 0 Columns 4 through 6 0 0 0 0 -218000 0 0 0 0 0 0 0 0 218000 0 0 0 0 Ke = Columns 1 through 3 218000 0 0 0 0 0 0 0 0 -218000 0 0 0 0 0 0 0 0 Columns 4 through 6 -218000 0 0 0 0 0 0 0 0 218000 0 0 0 0 0 0 0 0 Ke = Columns 1 through 3 218000 0 0 0 0 0 0 0 0 -218000 0 0 0 0 0 0 0 0 Columns 4 through 6 -218000 0 0 0 0 0 0 0 0 218000 0 0 0 0 0 0 0 0 Ke = 1.0e+004 * Columns 1 through 4 1.0745 2.3640 1.7192 -1.0745 2.3640 5.2007 3.7823 -2.3640 1.7192 3.7823 2.7508 -1.7192 -1.0745 -2.3640 -1.7192 1.0745 -2.3640 -5.2007 -3.7823 2.3640 -1.7192 -3.7823 -2.7508 1.7192 Columns 5 through 6 -2.3640 -1.7192 -5.2007 -3.7823 -3.7823 -2.7508 2.3640 1.7192 5.2007 3.7823 3.7823 2.7508 Ke = 1.0e+004 * Columns 1 through 4 1.0745 -2.3640 1.7192 -1.0745 -2.3640 5.2007 -3.7823 2.3640 1.7192 -3.7823 2.7508 -1.7192 -1.0745 2.3640 -1.7192 1.0745 2.3640 -5.2007 3.7823 -2.3640 -1.7192 3.7823 -2.7508 1.7192 Columns 5 through 6 2.3640 -1.7192 -5.2007 3.7823 3.7823 -2.7508 -2.3640 1.7192 5.2007 -3.7823 -3.7823 2.7508 Ke = 1.0e+004 * Columns 1 through 4 1.0745 -2.3640 -1.7192 -1.0745 -2.3640 5.2007 3.7823 2.3640 -1.7192 3.7823 2.7508 1.7192 -1.0745 2.3640 1.7192 1.0745 2.3640 -5.2007 -3.7823 -2.3640 1.7192 -3.7823 -2.7508 -1.7192 Columns 5 through 6 2.3640 1.7192 -5.2007 -3.7823 -3.7823 -2.7508 -2.3640 -1.7192 5.2007 3.7823 3.7823 2.7508 Ke = NaN NaN NaN NaN NaN NaN NaN NaN NaN NaN NaN NaN NaN NaN NaN NaN NaN NaN NaN NaN NaN NaN NaN NaN NaN NaN NaN NaN NaN NaN NaN NaN NaN NaN NaN NaN Ke = NaN NaN NaN NaN NaN NaN NaN NaN NaN NaN NaN NaN NaN NaN NaN NaN NaN NaN NaN NaN NaN NaN NaN NaN NaN NaN NaN NaN NaN NaN NaN NaN NaN NaN NaN NaN Ke = NaN NaN NaN NaN NaN NaN NaN NaN NaN NaN NaN NaN NaN NaN NaN NaN NaN NaN NaN NaN NaN NaN NaN NaN NaN NaN NaN NaN NaN NaN NaN NaN NaN NaN NaN NaN Ke = NaN NaN NaN NaN NaN NaN NaN NaN NaN NaN NaN NaN NaN NaN NaN NaN NaN NaN NaN NaN NaN NaN NaN NaN NaN NaN NaN NaN NaN NaN NaN NaN NaN NaN NaN NaN Ke = NaN NaN NaN NaN NaN NaN NaN NaN NaN NaN NaN NaN NaN NaN NaN NaN NaN NaN NaN NaN NaN NaN NaN NaN NaN NaN NaN NaN NaN NaN NaN NaN NaN NaN NaN NaN Ke = NaN NaN NaN NaN NaN NaN NaN NaN NaN NaN NaN NaN NaN NaN NaN NaN NaN NaN NaN NaN NaN NaN NaN NaN NaN NaN NaN NaN NaN NaN NaN NaN NaN NaN NaN NaN Ke = NaN NaN NaN NaN NaN NaN NaN NaN NaN NaN NaN NaN NaN NaN NaN NaN NaN NaN NaN NaN NaN NaN NaN NaN NaN NaN NaN NaN NaN NaN NaN NaN NaN NaN NaN NaN Ke = NaN NaN NaN NaN NaN NaN NaN NaN NaN NaN NaN NaN NaN NaN NaN NaN NaN NaN NaN NaN NaN NaN NaN NaN NaN NaN NaN NaN NaN NaN NaN NaN NaN NaN NaN NaN Ke = NaN NaN NaN NaN NaN NaN NaN NaN NaN NaN NaN NaN NaN NaN NaN NaN NaN NaN NaN NaN NaN NaN NaN NaN NaN NaN NaN NaN NaN NaN NaN NaN NaN NaN NaN NaN Ke = Columns 1 through 3 218000 0 0 0 0 0 0 0 0 -218000 0 0 0 0 0 0 0 0 Columns 4 through 6 -218000 0 0 0 0 0 0 0 0 218000 0 0 0 0 0 0 0 0 Ke = 1.0e+004 * Columns 1 through 4 4.1378 2.0689 -5.5171 -4.1378 2.0689 1.0345 -2.7585 -2.0689 -5.5171 -2.7585 7.3561 5.5171 -4.1378 -2.0689 5.5171 4.1378 -2.0689 -1.0345 2.7585 2.0689 5.5171 2.7585 -7.3561 -5.5171 Columns 5 through 6 -2.0689 5.5171 -1.0345 2.7585 2.7585 -7.3561 2.0689 -5.5171 1.0345 -2.7585 -2.7585 7.3561 Ke = 1.0e+004 * Columns 1 through 4 4.1378 -2.0689 5.5171 -4.1378 -2.0689 1.0345 -2.7585 2.0689 5.5171 -2.7585 7.3561 -5.5171 -4.1378 2.0689 -5.5171 4.1378 2.0689 -1.0345 2.7585 -2.0689 -5.5171 2.7585 -7.3561 5.5171 Columns 5 through 6 2.0689 -5.5171 -1.0345 2.7585 2.7585 -7.3561 -2.0689 5.5171 1.0345 -2.7585 -2.7585 7.3561 Ke = 1.0e+004 * Columns 1 through 4 4.1378 -2.0689 -5.5171 -4.1378 -2.0689 1.0345 2.7585 2.0689 -5.5171 2.7585 7.3561 5.5171 -4.1378 2.0689 5.5171 4.1378 2.0689 -1.0345 -2.7585 -2.0689 5.5171 -2.7585 -7.3561 -5.5171 Columns 5 through 6 2.0689 5.5171 -1.0345 -2.7585 -2.7585 -7.3561 -2.0689 -5.5171 1.0345 2.7585 2.7585 7.3561 Ke = 1.0e+004 * Columns 1 through 4 4.1378 2.0689 5.5171 -4.1378 2.0689 1.0345 2.7585 -2.0689 5.5171 2.7585 7.3561 -5.5171 -4.1378 -2.0689 -5.5171 4.1378 -2.0689 -1.0345 -2.7585 2.0689 -5.5171 -2.7585 -7.3561 5.5171 Columns 5 through 6 -2.0689 -5.5171 -1.0345 -2.7585 -2.7585 -7.3561 2.0689 5.5171 1.0345 2.7585 2.7585 7.3561 Ke = 1.0e+005 * Columns 1 through 4 0 0 0 0 0 0.1887 -0.5033 0 0 -0.5033 1.3422 0 0 0 0 0 0 -0.1887 0.5033 0 0 0.5033 -1.3422 0 Columns 5 through 6 0 0 -0.1887 0.5033 0.5033 -1.3422 0 0 0.1887 -0.5033 -0.5033 1.3422 Ke = 1.0e+005 * Columns 1 through 4 0 0 0 0 0 0.1887 0.5033 0 0 0.5033 1.3422 0 0 0 0 0 0 -0.1887 -0.5033 0 0 -0.5033 -1.3422 0 Columns 5 through 6 0 0 -0.1887 -0.5033 -0.5033 -1.3422 0 0 0.1887 0.5033 0.5033 1.3422 Ke = 1.0e+005 * Columns 1 through 4 0 0 0 0 0 0.1887 -0.5033 0 0 -0.5033 1.3422 0 0 0 0 0 0 -0.1887 0.5033 0 0 0.5033 -1.3422 0 Columns 5 through 6 0 0 -0.1887 0.5033 0.5033 -1.3422 0 0 0.1887 -0.5033 -0.5033 1.3422 Ke = 1.0e+005 * Columns 1 through 4 0 0 0 0 0 0.1887 0.5033 0 0 0.5033 1.3422 0 0 0 0 0 0 -0.1887 -0.5033 0 0 -0.5033 -1.3422 0 Columns 5 through 6 0 0 -0.1887 -0.5033 -0.5033 -1.3422 0 0 0.1887 0.5033 0.5033 1.3422 Ke = Columns 1 through 3 0 0 0 0 218000 0 0 0 0 0 0 0 0 -218000 0 0 0 0 Columns 4 through 6 0 0 0 0 -218000 0 0 0 0 0 0 0 0 218000 0 0 0 0 Ke = Columns 1 through 3 0 0 0 0 218000 0 0 0 0 0 0 0 0 -218000 0 0 0 0 Columns 4 through 6 0 0 0 0 -218000 0 0 0 0 0 0 0 0 218000 0 0 0 0 Ke = Columns 1 through 3 218000 0 0 0 0 0 0 0 0 -218000 0 0 0 0 0 0 0 0 Columns 4 through 6 -218000 0 0 0 0 0 0 0 0 218000 0 0 0 0 0 0 0 0 Ke = Columns 1 through 3 218000 0 0 0 0 0 0 0 0 -218000 0 0 0 0 0 0 0 0 Columns 4 through 6 -218000 0 0 0 0 0 0 0 0 218000 0 0 0 0 0 0 0 0 Ke = 1.0e+004 * Columns 1 through 4 1.0745 2.3640 1.7192 -1.0745 2.3640 5.2007 3.7823 -2.3640 1.7192 3.7823 2.7508 -1.7192 -1.0745 -2.3640 -1.7192 1.0745 -2.3640 -5.2007 -3.7823 2.3640 -1.7192 -3.7823 -2.7508 1.7192 Columns 5 through 6 -2.3640 -1.7192 -5.2007 -3.7823 -3.7823 -2.7508 2.3640 1.7192 5.2007 3.7823 3.7823 2.7508 Ke = 1.0e+004 * Columns 1 through 4 1.0745 -2.3640 1.7192 -1.0745 -2.3640 5.2007 -3.7823 2.3640 1.7192 -3.7823 2.7508 -1.7192 -1.0745 2.3640 -1.7192 1.0745 2.3640 -5.2007 3.7823 -2.3640 -1.7192 3.7823 -2.7508 1.7192 Columns 5 through 6 2.3640 -1.7192 -5.2007 3.7823 3.7823 -2.7508 -2.3640 1.7192 5.2007 -3.7823 -3.7823 2.7508 Ke = 1.0e+004 * Columns 1 through 4 1.0745 -2.3640 -1.7192 -1.0745 -2.3640 5.2007 3.7823 2.3640 -1.7192 3.7823 2.7508 1.7192 -1.0745 2.3640 1.7192 1.0745 2.3640 -5.2007 -3.7823 -2.3640 1.7192 -3.7823 -2.7508 -1.7192 Columns 5 through 6 2.3640 1.7192 -5.2007 -3.7823 -3.7823 -2.7508 -2.3640 -1.7192 5.2007 3.7823 3.7823 2.7508 Ke = 1.0e+004 * Columns 1 through 4 1.0745 2.3640 -1.7192 -1.0745 2.3640 5.2007 -3.7823 -2.3640 -1.7192 -3.7823 2.7508 1.7192 -1.0745 -2.3640 1.7192 1.0745 -2.3640 -5.2007 3.7823 2.3640 1.7192 3.7823 -2.7508 -1.7192 Columns 5 through 6 -2.3640 1.7192 -5.2007 3.7823 3.7823 -2.7508 2.3640 -1.7192 5.2007 -3.7823 -3.7823 2.7508 Ke = NaN NaN NaN NaN NaN NaN NaN NaN NaN NaN NaN NaN NaN NaN NaN NaN NaN NaN NaN NaN NaN NaN NaN NaN NaN NaN NaN NaN NaN NaN NaN NaN NaN NaN NaN NaN Ke = NaN NaN NaN NaN NaN NaN NaN NaN NaN NaN NaN NaN NaN NaN NaN NaN NaN NaN NaN NaN NaN NaN NaN NaN NaN NaN NaN NaN NaN NaN NaN NaN NaN NaN NaN NaN Ke = NaN NaN NaN NaN NaN NaN NaN NaN NaN NaN NaN NaN NaN NaN NaN NaN NaN NaN NaN NaN NaN NaN NaN NaN NaN NaN NaN NaN NaN NaN NaN NaN NaN NaN NaN NaN Ke = NaN NaN NaN NaN NaN NaN NaN NaN NaN NaN NaN NaN NaN NaN NaN NaN NaN NaN NaN NaN NaN NaN NaN NaN NaN NaN NaN NaN NaN NaN NaN NaN NaN NaN NaN NaN Ke = NaN NaN NaN NaN NaN NaN NaN NaN NaN NaN NaN NaN NaN NaN NaN NaN NaN NaN NaN NaN NaN NaN NaN NaN NaN NaN NaN NaN NaN NaN NaN NaN NaN NaN NaN NaN Ke = NaN NaN NaN NaN NaN NaN NaN NaN NaN NaN NaN NaN NaN NaN NaN NaN NaN NaN NaN NaN NaN NaN NaN NaN NaN NaN NaN NaN NaN NaN NaN NaN NaN NaN NaN NaN Ke = NaN NaN NaN NaN NaN NaN NaN NaN NaN NaN NaN NaN NaN NaN NaN NaN NaN NaN NaN NaN NaN NaN NaN NaN NaN NaN NaN NaN NaN NaN NaN NaN NaN NaN NaN NaN Ke = NaN NaN NaN NaN NaN NaN NaN NaN NaN NaN NaN NaN NaN NaN NaN NaN NaN NaN NaN NaN NaN NaN NaN NaN NaN NaN NaN NaN NaN NaN NaN NaN NaN NaN NaN NaN Ke = Columns 1 through 3 218000 0 0 0 0 0 0 0 0 -218000 0 0 0 0 0 0 0 0 Columns 4 through 6 -218000 0 0 0 0 0 0 0 0 218000 0 0 0 0 0 0 0 0 Ke = 1.0e+004 * Columns 1 through 4 4.1378 2.0689 -5.5171 -4.1378 2.0689 1.0345 -2.7585 -2.0689 -5.5171 -2.7585 7.3561 5.5171 -4.1378 -2.0689 5.5171 4.1378 -2.0689 -1.0345 2.7585 2.0689 5.5171 2.7585 -7.3561 -5.5171 Columns 5 through 6 -2.0689 5.5171 -1.0345 2.7585 2.7585 -7.3561 2.0689 -5.5171 1.0345 -2.7585 -2.7585 7.3561 Ke = 1.0e+004 * Columns 1 through 4 4.1378 -2.0689 5.5171 -4.1378 -2.0689 1.0345 -2.7585 2.0689 5.5171 -2.7585 7.3561 -5.5171 -4.1378 2.0689 -5.5171 4.1378 2.0689 -1.0345 2.7585 -2.0689 -5.5171 2.7585 -7.3561 5.5171 Columns 5 through 6 2.0689 -5.5171 -1.0345 2.7585 2.7585 -7.3561 -2.0689 5.5171 1.0345 -2.7585 -2.7585 7.3561 Ke = 1.0e+004 * Columns 1 through 4 4.1378 -2.0689 -5.5171 -4.1378 -2.0689 1.0345 2.7585 2.0689 -5.5171 2.7585 7.3561 5.5171 -4.1378 2.0689 5.5171 4.1378 2.0689 -1.0345 -2.7585 -2.0689 5.5171 -2.7585 -7.3561 -5.5171 Columns 5 through 6 2.0689 5.5171 -1.0345 -2.7585 -2.7585 -7.3561 -2.0689 -5.5171 1.0345 2.7585 2.7585 7.3561 Ke = 1.0e+004 * Columns 1 through 4 4.1378 2.0689 5.5171 -4.1378 2.0689 1.0345 2.7585 -2.0689 5.5171 2.7585 7.3561 -5.5171 -4.1378 -2.0689 -5.5171 4.1378 -2.0689 -1.0345 -2.7585 2.0689 -5.5171 -2.7585 -7.3561 5.5171 Columns 5 through 6 -2.0689 -5.5171 -1.0345 -2.7585 -2.7585 -7.3561 2.0689 5.5171 1.0345 2.7585 2.7585 7.3561 Ke = 1.0e+005 * Columns 1 through 4 0 0 0 0 0 0.1887 -0.5033 0 0 -0.5033 1.3422 0 0 0 0 0 0 -0.1887 0.5033 0 0 0.5033 -1.3422 0 Columns 5 through 6 0 0 -0.1887 0.5033 0.5033 -1.3422 0 0 0.1887 -0.5033 -0.5033 1.3422 Ke = 1.0e+005 * Columns 1 through 4 0 0 0 0 0 0.1887 0.5033 0 0 0.5033 1.3422 0 0 0 0 0 0 -0.1887 -0.5033 0 0 -0.5033 -1.3422 0 Columns 5 through 6 0 0 -0.1887 -0.5033 -0.5033 -1.3422 0 0 0.1887 0.5033 0.5033 1.3422 Ke = 1.0e+005 * Columns 1 through 4 0 0 0 0 0 0.1887 -0.5033 0 0 -0.5033 1.3422 0 0 0 0 0 0 -0.1887 0.5033 0 0 0.5033 -1.3422 0 Columns 5 through 6 0 0 -0.1887 0.5033 0.5033 -1.3422 0 0 0.1887 -0.5033 -0.5033 1.3422 Ke = 1.0e+005 * Columns 1 through 4 0 0 0 0 0 0.1887 0.5033 0 0 0.5033 1.3422 0 0 0 0 0 0 -0.1887 -0.5033 0 0 -0.5033 -1.3422 0 Columns 5 through 6 0 0 -0.1887 -0.5033 -0.5033 -1.3422 0 0 0.1887 0.5033 0.5033 1.3422 Ke = Columns 1 through 3 0 0 0 0 218000 0 0 0 0 0 0 0 0 -218000 0 0 0 0 Columns 4 through 6 0 0 0 0 -218000 0 0 0 0 0 0 0 0 218000 0 0 0 0 Ke = Columns 1 through 3 0 0 0 0 218000 0 0 0 0 0 0 0 0 -218000 0 0 0 0 Columns 4 through 6 0 0 0 0 -218000 0 0 0 0 0 0 0 0 218000 0 0 0 0 Ke = Columns 1 through 3 218000 0 0 0 0 0 0 0 0 -218000 0 0 0 0 0 0 0 0 Columns 4 through 6 -218000 0 0 0 0 0 0 0 0 218000 0 0 0 0 0 0 0 0 Ke = Columns 1 through 3 218000 0 0 0 0 0 0 0 0 -218000 0 0 0 0 0 0 0 0 Columns 4 through 6 -218000 0 0 0 0 0 0 0 0 218000 0 0 0 0 0 0 0 0 Ke = 1.0e+004 * Columns 1 through 4 1.0745 2.3640 1.7192 -1.0745 2.3640 5.2007 3.7823 -2.3640 1.7192 3.7823 2.7508 -1.7192 -1.0745 -2.3640 -1.7192 1.0745 -2.3640 -5.2007 -3.7823 2.3640 -1.7192 -3.7823 -2.7508 1.7192 Columns 5 through 6 -2.3640 -1.7192 -5.2007 -3.7823 -3.7823 -2.7508 2.3640 1.7192 5.2007 3.7823 3.7823 2.7508 Ke = 1.0e+004 * Columns 1 through 4 1.0745 -2.3640 1.7192 -1.0745 -2.3640 5.2007 -3.7823 2.3640 1.7192 -3.7823 2.7508 -1.7192 -1.0745 2.3640 -1.7192 1.0745 2.3640 -5.2007 3.7823 -2.3640 -1.7192 3.7823 -2.7508 1.7192 Columns 5 through 6 2.3640 -1.7192 -5.2007 3.7823 3.7823 -2.7508 -2.3640 1.7192 5.2007 -3.7823 -3.7823 2.7508 Ke = 1.0e+004 * Columns 1 through 4 1.0745 -2.3640 -1.7192 -1.0745 -2.3640 5.2007 3.7823 2.3640 -1.7192 3.7823 2.7508 1.7192 -1.0745 2.3640 1.7192 1.0745 2.3640 -5.2007 -3.7823 -2.3640 1.7192 -3.7823 -2.7508 -1.7192 Columns 5 through 6 2.3640 1.7192 -5.2007 -3.7823 -3.7823 -2.7508 -2.3640 -1.7192 5.2007 3.7823 3.7823 2.7508 Ke = 1.0e+004 * Columns 1 through 4 1.0745 2.3640 -1.7192 -1.0745 2.3640 5.2007 -3.7823 -2.3640 -1.7192 -3.7823 2.7508 1.7192 -1.0745 -2.3640 1.7192 1.0745 -2.3640 -5.2007 3.7823 2.3640 1.7192 3.7823 -2.7508 -1.7192 Columns 5 through 6 -2.3640 1.7192 -5.2007 3.7823 3.7823 -2.7508 2.3640 -1.7192 5.2007 -3.7823 -3.7823 2.7508 Ke = 1.0e+004 * Columns 1 through 4 5.2007 -2.3640 3.7823 -5.2007 -2.3640 1.0745 -1.7192 2.3640 3.7823 -1.7192 2.7508 -3.7823 -5.2007 2.3640 -3.7823 5.2007 2.3640 -1.0745 1.7192 -2.3640 -3.7823 1.7192 -2.7508 3.7823 Columns 5 through 6 2.3640 -3.7823 -1.0745 1.7192 1.7192 -2.7508 -2.3640 3.7823 1.0745 -1.7192 -1.7192 2.7508 Ke = NaN NaN NaN NaN NaN NaN NaN NaN NaN NaN NaN NaN NaN NaN NaN NaN NaN NaN NaN NaN NaN NaN NaN NaN NaN NaN NaN NaN NaN NaN NaN NaN NaN NaN NaN NaN Ke = NaN NaN NaN NaN NaN NaN NaN NaN NaN NaN NaN NaN NaN NaN NaN NaN NaN NaN NaN NaN NaN NaN NaN NaN NaN NaN NaN NaN NaN NaN NaN NaN NaN NaN NaN NaN Ke = NaN NaN NaN NaN NaN NaN NaN NaN NaN NaN NaN NaN NaN NaN NaN NaN NaN NaN NaN NaN NaN NaN NaN NaN NaN NaN NaN NaN NaN NaN NaN NaN NaN NaN NaN NaN Ke = NaN NaN NaN NaN NaN NaN NaN NaN NaN NaN NaN NaN NaN NaN NaN NaN NaN NaN NaN NaN NaN NaN NaN NaN NaN NaN NaN NaN NaN NaN NaN NaN NaN NaN NaN NaN Ke = NaN NaN NaN NaN NaN NaN NaN NaN NaN NaN NaN NaN NaN NaN NaN NaN NaN NaN NaN NaN NaN NaN NaN NaN NaN NaN NaN NaN NaN NaN NaN NaN NaN NaN NaN NaN Ke = NaN NaN NaN NaN NaN NaN NaN NaN NaN NaN NaN NaN NaN NaN NaN NaN NaN NaN NaN NaN NaN NaN NaN NaN NaN NaN NaN NaN NaN NaN NaN NaN NaN NaN NaN NaN Ke = NaN NaN NaN NaN NaN NaN NaN NaN NaN NaN NaN NaN NaN NaN NaN NaN NaN NaN NaN NaN NaN NaN NaN NaN NaN NaN NaN NaN NaN NaN NaN NaN NaN NaN NaN NaN Ke = Columns 1 through 3 218000 0 0 0 0 0 0 0 0 -218000 0 0 0 0 0 0 0 0 Columns 4 through 6 -218000 0 0 0 0 0 0 0 0 218000 0 0 0 0 0 0 0 0 Ke = 1.0e+004 * Columns 1 through 4 4.1378 2.0689 -5.5171 -4.1378 2.0689 1.0345 -2.7585 -2.0689 -5.5171 -2.7585 7.3561 5.5171 -4.1378 -2.0689 5.5171 4.1378 -2.0689 -1.0345 2.7585 2.0689 5.5171 2.7585 -7.3561 -5.5171 Columns 5 through 6 -2.0689 5.5171 -1.0345 2.7585 2.7585 -7.3561 2.0689 -5.5171 1.0345 -2.7585 -2.7585 7.3561 Ke = 1.0e+004 * Columns 1 through 4 4.1378 -2.0689 5.5171 -4.1378 -2.0689 1.0345 -2.7585 2.0689 5.5171 -2.7585 7.3561 -5.5171 -4.1378 2.0689 -5.5171 4.1378 2.0689 -1.0345 2.7585 -2.0689 -5.5171 2.7585 -7.3561 5.5171 Columns 5 through 6 2.0689 -5.5171 -1.0345 2.7585 2.7585 -7.3561 -2.0689 5.5171 1.0345 -2.7585 -2.7585 7.3561 Ke = 1.0e+004 * Columns 1 through 4 4.1378 -2.0689 -5.5171 -4.1378 -2.0689 1.0345 2.7585 2.0689 -5.5171 2.7585 7.3561 5.5171 -4.1378 2.0689 5.5171 4.1378 2.0689 -1.0345 -2.7585 -2.0689 5.5171 -2.7585 -7.3561 -5.5171 Columns 5 through 6 2.0689 5.5171 -1.0345 -2.7585 -2.7585 -7.3561 -2.0689 -5.5171 1.0345 2.7585 2.7585 7.3561 Ke = 1.0e+004 * Columns 1 through 4 4.1378 2.0689 5.5171 -4.1378 2.0689 1.0345 2.7585 -2.0689 5.5171 2.7585 7.3561 -5.5171 -4.1378 -2.0689 -5.5171 4.1378 -2.0689 -1.0345 -2.7585 2.0689 -5.5171 -2.7585 -7.3561 5.5171 Columns 5 through 6 -2.0689 -5.5171 -1.0345 -2.7585 -2.7585 -7.3561 2.0689 5.5171 1.0345 2.7585 2.7585 7.3561 Ke = 1.0e+005 * Columns 1 through 4 0 0 0 0 0 0.1887 -0.5033 0 0 -0.5033 1.3422 0 0 0 0 0 0 -0.1887 0.5033 0 0 0.5033 -1.3422 0 Columns 5 through 6 0 0 -0.1887 0.5033 0.5033 -1.3422 0 0 0.1887 -0.5033 -0.5033 1.3422 Ke = 1.0e+005 * Columns 1 through 4 0 0 0 0 0 0.1887 0.5033 0 0 0.5033 1.3422 0 0 0 0 0 0 -0.1887 -0.5033 0 0 -0.5033 -1.3422 0 Columns 5 through 6 0 0 -0.1887 -0.5033 -0.5033 -1.3422 0 0 0.1887 0.5033 0.5033 1.3422 Ke = 1.0e+005 * Columns 1 through 4 0 0 0 0 0 0.1887 -0.5033 0 0 -0.5033 1.3422 0 0 0 0 0 0 -0.1887 0.5033 0 0 0.5033 -1.3422 0 Columns 5 through 6 0 0 -0.1887 0.5033 0.5033 -1.3422 0 0 0.1887 -0.5033 -0.5033 1.3422 Ke = 1.0e+005 * Columns 1 through 4 0 0 0 0 0 0.1887 0.5033 0 0 0.5033 1.3422 0 0 0 0 0 0 -0.1887 -0.5033 0 0 -0.5033 -1.3422 0 Columns 5 through 6 0 0 -0.1887 -0.5033 -0.5033 -1.3422 0 0 0.1887 0.5033 0.5033 1.3422 Ke = Columns 1 through 3 0 0 0 0 218000 0 0 0 0 0 0 0 0 -218000 0 0 0 0 Columns 4 through 6 0 0 0 0 -218000 0 0 0 0 0 0 0 0 218000 0 0 0 0 Ke = Columns 1 through 3 0 0 0 0 218000 0 0 0 0 0 0 0 0 -218000 0 0 0 0 Columns 4 through 6 0 0 0 0 -218000 0 0 0 0 0 0 0 0 218000 0 0 0 0 Ke = Columns 1 through 3 218000 0 0 0 0 0 0 0 0 -218000 0 0 0 0 0 0 0 0 Columns 4 through 6 -218000 0 0 0 0 0 0 0 0 218000 0 0 0 0 0 0 0 0 Ke = Columns 1 through 3 218000 0 0 0 0 0 0 0 0 -218000 0 0 0 0 0 0 0 0 Columns 4 through 6 -218000 0 0 0 0 0 0 0 0 218000 0 0 0 0 0 0 0 0 Ke = 1.0e+004 * Columns 1 through 4 1.0745 2.3640 1.7192 -1.0745 2.3640 5.2007 3.7823 -2.3640 1.7192 3.7823 2.7508 -1.7192 -1.0745 -2.3640 -1.7192 1.0745 -2.3640 -5.2007 -3.7823 2.3640 -1.7192 -3.7823 -2.7508 1.7192 Columns 5 through 6 -2.3640 -1.7192 -5.2007 -3.7823 -3.7823 -2.7508 2.3640 1.7192 5.2007 3.7823 3.7823 2.7508 Ke = 1.0e+004 * Columns 1 through 4 1.0745 -2.3640 1.7192 -1.0745 -2.3640 5.2007 -3.7823 2.3640 1.7192 -3.7823 2.7508 -1.7192 -1.0745 2.3640 -1.7192 1.0745 2.3640 -5.2007 3.7823 -2.3640 -1.7192 3.7823 -2.7508 1.7192 Columns 5 through 6 2.3640 -1.7192 -5.2007 3.7823 3.7823 -2.7508 -2.3640 1.7192 5.2007 -3.7823 -3.7823 2.7508 Ke = 1.0e+004 * Columns 1 through 4 1.0745 -2.3640 -1.7192 -1.0745 -2.3640 5.2007 3.7823 2.3640 -1.7192 3.7823 2.7508 1.7192 -1.0745 2.3640 1.7192 1.0745 2.3640 -5.2007 -3.7823 -2.3640 1.7192 -3.7823 -2.7508 -1.7192 Columns 5 through 6 2.3640 1.7192 -5.2007 -3.7823 -3.7823 -2.7508 -2.3640 -1.7192 5.2007 3.7823 3.7823 2.7508 Ke = 1.0e+004 * Columns 1 through 4 1.0745 2.3640 -1.7192 -1.0745 2.3640 5.2007 -3.7823 -2.3640 -1.7192 -3.7823 2.7508 1.7192 -1.0745 -2.3640 1.7192 1.0745 -2.3640 -5.2007 3.7823 2.3640 1.7192 3.7823 -2.7508 -1.7192 Columns 5 through 6 -2.3640 1.7192 -5.2007 3.7823 3.7823 -2.7508 2.3640 -1.7192 5.2007 -3.7823 -3.7823 2.7508 Ke = 1.0e+004 * Columns 1 through 4 5.2007 -2.3640 3.7823 -5.2007 -2.3640 1.0745 -1.7192 2.3640 3.7823 -1.7192 2.7508 -3.7823 -5.2007 2.3640 -3.7823 5.2007 2.3640 -1.0745 1.7192 -2.3640 -3.7823 1.7192 -2.7508 3.7823 Columns 5 through 6 2.3640 -3.7823 -1.0745 1.7192 1.7192 -2.7508 -2.3640 3.7823 1.0745 -1.7192 -1.7192 2.7508 Ke = 1.0e+004 * Columns 1 through 4 5.2007 2.3640 -3.7823 -5.2007 2.3640 1.0745 -1.7192 -2.3640 -3.7823 -1.7192 2.7508 3.7823 -5.2007 -2.3640 3.7823 5.2007 -2.3640 -1.0745 1.7192 2.3640 3.7823 1.7192 -2.7508 -3.7823 Columns 5 through 6 -2.3640 3.7823 -1.0745 1.7192 1.7192 -2.7508 2.3640 -3.7823 1.0745 -1.7192 -1.7192 2.7508 Ke = NaN NaN NaN NaN NaN NaN NaN NaN NaN NaN NaN NaN NaN NaN NaN NaN NaN NaN NaN NaN NaN NaN NaN NaN NaN NaN NaN NaN NaN NaN NaN NaN NaN NaN NaN NaN Ke = NaN NaN NaN NaN NaN NaN NaN NaN NaN NaN NaN NaN NaN NaN NaN NaN NaN NaN NaN NaN NaN NaN NaN NaN NaN NaN NaN NaN NaN NaN NaN NaN NaN NaN NaN NaN Ke = NaN NaN NaN NaN NaN NaN NaN NaN NaN NaN NaN NaN NaN NaN NaN NaN NaN NaN NaN NaN NaN NaN NaN NaN NaN NaN NaN NaN NaN NaN NaN NaN NaN NaN NaN NaN Ke = NaN NaN NaN NaN NaN NaN NaN NaN NaN NaN NaN NaN NaN NaN NaN NaN NaN NaN NaN NaN NaN NaN NaN NaN NaN NaN NaN NaN NaN NaN NaN NaN NaN NaN NaN NaN Ke = NaN NaN NaN NaN NaN NaN NaN NaN NaN NaN NaN NaN NaN NaN NaN NaN NaN NaN NaN NaN NaN NaN NaN NaN NaN NaN NaN NaN NaN NaN NaN NaN NaN NaN NaN NaN Ke = NaN NaN NaN NaN NaN NaN NaN NaN NaN NaN NaN NaN NaN NaN NaN NaN NaN NaN NaN NaN NaN NaN NaN NaN NaN NaN NaN NaN NaN NaN NaN NaN NaN NaN NaN NaN Ke = Columns 1 through 3 218000 0 0 0 0 0 0 0 0 -218000 0 0 0 0 0 0 0 0 Columns 4 through 6 -218000 0 0 0 0 0 0 0 0 218000 0 0 0 0 0 0 0 0 Ke = 1.0e+004 * Columns 1 through 4 4.1378 2.0689 -5.5171 -4.1378 2.0689 1.0345 -2.7585 -2.0689 -5.5171 -2.7585 7.3561 5.5171 -4.1378 -2.0689 5.5171 4.1378 -2.0689 -1.0345 2.7585 2.0689 5.5171 2.7585 -7.3561 -5.5171 Columns 5 through 6 -2.0689 5.5171 -1.0345 2.7585 2.7585 -7.3561 2.0689 -5.5171 1.0345 -2.7585 -2.7585 7.3561 Ke = 1.0e+004 * Columns 1 through 4 4.1378 -2.0689 5.5171 -4.1378 -2.0689 1.0345 -2.7585 2.0689 5.5171 -2.7585 7.3561 -5.5171 -4.1378 2.0689 -5.5171 4.1378 2.0689 -1.0345 2.7585 -2.0689 -5.5171 2.7585 -7.3561 5.5171 Columns 5 through 6 2.0689 -5.5171 -1.0345 2.7585 2.7585 -7.3561 -2.0689 5.5171 1.0345 -2.7585 -2.7585 7.3561 Ke = 1.0e+004 * Columns 1 through 4 4.1378 -2.0689 -5.5171 -4.1378 -2.0689 1.0345 2.7585 2.0689 -5.5171 2.7585 7.3561 5.5171 -4.1378 2.0689 5.5171 4.1378 2.0689 -1.0345 -2.7585 -2.0689 5.5171 -2.7585 -7.3561 -5.5171 Columns 5 through 6 2.0689 5.5171 -1.0345 -2.7585 -2.7585 -7.3561 -2.0689 -5.5171 1.0345 2.7585 2.7585 7.3561 Ke = 1.0e+004 * Columns 1 through 4 4.1378 2.0689 5.5171 -4.1378 2.0689 1.0345 2.7585 -2.0689 5.5171 2.7585 7.3561 -5.5171 -4.1378 -2.0689 -5.5171 4.1378 -2.0689 -1.0345 -2.7585 2.0689 -5.5171 -2.7585 -7.3561 5.5171 Columns 5 through 6 -2.0689 -5.5171 -1.0345 -2.7585 -2.7585 -7.3561 2.0689 5.5171 1.0345 2.7585 2.7585 7.3561 Ke = 1.0e+005 * Columns 1 through 4 0 0 0 0 0 0.1887 -0.5033 0 0 -0.5033 1.3422 0 0 0 0 0 0 -0.1887 0.5033 0 0 0.5033 -1.3422 0 Columns 5 through 6 0 0 -0.1887 0.5033 0.5033 -1.3422 0 0 0.1887 -0.5033 -0.5033 1.3422 Ke = 1.0e+005 * Columns 1 through 4 0 0 0 0 0 0.1887 0.5033 0 0 0.5033 1.3422 0 0 0 0 0 0 -0.1887 -0.5033 0 0 -0.5033 -1.3422 0 Columns 5 through 6 0 0 -0.1887 -0.5033 -0.5033 -1.3422 0 0 0.1887 0.5033 0.5033 1.3422 Ke = 1.0e+005 * Columns 1 through 4 0 0 0 0 0 0.1887 -0.5033 0 0 -0.5033 1.3422 0 0 0 0 0 0 -0.1887 0.5033 0 0 0.5033 -1.3422 0 Columns 5 through 6 0 0 -0.1887 0.5033 0.5033 -1.3422 0 0 0.1887 -0.5033 -0.5033 1.3422 Ke = 1.0e+005 * Columns 1 through 4 0 0 0 0 0 0.1887 0.5033 0 0 0.5033 1.3422 0 0 0 0 0 0 -0.1887 -0.5033 0 0 -0.5033 -1.3422 0 Columns 5 through 6 0 0 -0.1887 -0.5033 -0.5033 -1.3422 0 0 0.1887 0.5033 0.5033 1.3422 Ke = Columns 1 through 3 0 0 0 0 218000 0 0 0 0 0 0 0 0 -218000 0 0 0 0 Columns 4 through 6 0 0 0 0 -218000 0 0 0 0 0 0 0 0 218000 0 0 0 0 Ke = Columns 1 through 3 0 0 0 0 218000 0 0 0 0 0 0 0 0 -218000 0 0 0 0 Columns 4 through 6 0 0 0 0 -218000 0 0 0 0 0 0 0 0 218000 0 0 0 0 Ke = Columns 1 through 3 218000 0 0 0 0 0 0 0 0 -218000 0 0 0 0 0 0 0 0 Columns 4 through 6 -218000 0 0 0 0 0 0 0 0 218000 0 0 0 0 0 0 0 0 Ke = Columns 1 through 3 218000 0 0 0 0 0 0 0 0 -218000 0 0 0 0 0 0 0 0 Columns 4 through 6 -218000 0 0 0 0 0 0 0 0 218000 0 0 0 0 0 0 0 0 Ke = 1.0e+004 * Columns 1 through 4 1.0745 2.3640 1.7192 -1.0745 2.3640 5.2007 3.7823 -2.3640 1.7192 3.7823 2.7508 -1.7192 -1.0745 -2.3640 -1.7192 1.0745 -2.3640 -5.2007 -3.7823 2.3640 -1.7192 -3.7823 -2.7508 1.7192 Columns 5 through 6 -2.3640 -1.7192 -5.2007 -3.7823 -3.7823 -2.7508 2.3640 1.7192 5.2007 3.7823 3.7823 2.7508 Ke = 1.0e+004 * Columns 1 through 4 1.0745 -2.3640 1.7192 -1.0745 -2.3640 5.2007 -3.7823 2.3640 1.7192 -3.7823 2.7508 -1.7192 -1.0745 2.3640 -1.7192 1.0745 2.3640 -5.2007 3.7823 -2.3640 -1.7192 3.7823 -2.7508 1.7192 Columns 5 through 6 2.3640 -1.7192 -5.2007 3.7823 3.7823 -2.7508 -2.3640 1.7192 5.2007 -3.7823 -3.7823 2.7508 Ke = 1.0e+004 * Columns 1 through 4 1.0745 -2.3640 -1.7192 -1.0745 -2.3640 5.2007 3.7823 2.3640 -1.7192 3.7823 2.7508 1.7192 -1.0745 2.3640 1.7192 1.0745 2.3640 -5.2007 -3.7823 -2.3640 1.7192 -3.7823 -2.7508 -1.7192 Columns 5 through 6 2.3640 1.7192 -5.2007 -3.7823 -3.7823 -2.7508 -2.3640 -1.7192 5.2007 3.7823 3.7823 2.7508 Ke = 1.0e+004 * Columns 1 through 4 1.0745 2.3640 -1.7192 -1.0745 2.3640 5.2007 -3.7823 -2.3640 -1.7192 -3.7823 2.7508 1.7192 -1.0745 -2.3640 1.7192 1.0745 -2.3640 -5.2007 3.7823 2.3640 1.7192 3.7823 -2.7508 -1.7192 Columns 5 through 6 -2.3640 1.7192 -5.2007 3.7823 3.7823 -2.7508 2.3640 -1.7192 5.2007 -3.7823 -3.7823 2.7508 Ke = 1.0e+004 * Columns 1 through 4 5.2007 -2.3640 3.7823 -5.2007 -2.3640 1.0745 -1.7192 2.3640 3.7823 -1.7192 2.7508 -3.7823 -5.2007 2.3640 -3.7823 5.2007 2.3640 -1.0745 1.7192 -2.3640 -3.7823 1.7192 -2.7508 3.7823 Columns 5 through 6 2.3640 -3.7823 -1.0745 1.7192 1.7192 -2.7508 -2.3640 3.7823 1.0745 -1.7192 -1.7192 2.7508 Ke = 1.0e+004 * Columns 1 through 4 5.2007 2.3640 -3.7823 -5.2007 2.3640 1.0745 -1.7192 -2.3640 -3.7823 -1.7192 2.7508 3.7823 -5.2007 -2.3640 3.7823 5.2007 -2.3640 -1.0745 1.7192 2.3640 3.7823 1.7192 -2.7508 -3.7823 Columns 5 through 6 -2.3640 3.7823 -1.0745 1.7192 1.7192 -2.7508 2.3640 -3.7823 1.0745 -1.7192 -1.7192 2.7508 Ke = 1.0e+004 * Columns 1 through 4 5.2007 2.3640 3.7823 -5.2007 2.3640 1.0745 1.7192 -2.3640 3.7823 1.7192 2.7508 -3.7823 -5.2007 -2.3640 -3.7823 5.2007 -2.3640 -1.0745 -1.7192 2.3640 -3.7823 -1.7192 -2.7508 3.7823 Columns 5 through 6 -2.3640 -3.7823 -1.0745 -1.7192 -1.7192 -2.7508 2.3640 3.7823 1.0745 1.7192 1.7192 2.7508 Ke = NaN NaN NaN NaN NaN NaN NaN NaN NaN NaN NaN NaN NaN NaN NaN NaN NaN NaN NaN NaN NaN NaN NaN NaN NaN NaN NaN NaN NaN NaN NaN NaN NaN NaN NaN NaN Ke = NaN NaN NaN NaN NaN NaN NaN NaN NaN NaN NaN NaN NaN NaN NaN NaN NaN NaN NaN NaN NaN NaN NaN NaN NaN NaN NaN NaN NaN NaN NaN NaN NaN NaN NaN NaN Ke = NaN NaN NaN NaN NaN NaN NaN NaN NaN NaN NaN NaN NaN NaN NaN NaN NaN NaN NaN NaN NaN NaN NaN NaN NaN NaN NaN NaN NaN NaN NaN NaN NaN NaN NaN NaN Ke = NaN NaN NaN NaN NaN NaN NaN NaN NaN NaN NaN NaN NaN NaN NaN NaN NaN NaN NaN NaN NaN NaN NaN NaN NaN NaN NaN NaN NaN NaN NaN NaN NaN NaN NaN NaN Ke = NaN NaN NaN NaN NaN NaN NaN NaN NaN NaN NaN NaN NaN NaN NaN NaN NaN NaN NaN NaN NaN NaN NaN NaN NaN NaN NaN NaN NaN NaN NaN NaN NaN NaN NaN NaN Ke = Columns 1 through 3 218000 0 0 0 0 0 0 0 0 -218000 0 0 0 0 0 0 0 0 Columns 4 through 6 -218000 0 0 0 0 0 0 0 0 218000 0 0 0 0 0 0 0 0 Ke = 1.0e+004 * Columns 1 through 4 4.1378 2.0689 -5.5171 -4.1378 2.0689 1.0345 -2.7585 -2.0689 -5.5171 -2.7585 7.3561 5.5171 -4.1378 -2.0689 5.5171 4.1378 -2.0689 -1.0345 2.7585 2.0689 5.5171 2.7585 -7.3561 -5.5171 Columns 5 through 6 -2.0689 5.5171 -1.0345 2.7585 2.7585 -7.3561 2.0689 -5.5171 1.0345 -2.7585 -2.7585 7.3561 Ke = 1.0e+004 * Columns 1 through 4 4.1378 -2.0689 5.5171 -4.1378 -2.0689 1.0345 -2.7585 2.0689 5.5171 -2.7585 7.3561 -5.5171 -4.1378 2.0689 -5.5171 4.1378 2.0689 -1.0345 2.7585 -2.0689 -5.5171 2.7585 -7.3561 5.5171 Columns 5 through 6 2.0689 -5.5171 -1.0345 2.7585 2.7585 -7.3561 -2.0689 5.5171 1.0345 -2.7585 -2.7585 7.3561 Ke = 1.0e+004 * Columns 1 through 4 4.1378 -2.0689 -5.5171 -4.1378 -2.0689 1.0345 2.7585 2.0689 -5.5171 2.7585 7.3561 5.5171 -4.1378 2.0689 5.5171 4.1378 2.0689 -1.0345 -2.7585 -2.0689 5.5171 -2.7585 -7.3561 -5.5171 Columns 5 through 6 2.0689 5.5171 -1.0345 -2.7585 -2.7585 -7.3561 -2.0689 -5.5171 1.0345 2.7585 2.7585 7.3561 Ke = 1.0e+004 * Columns 1 through 4 4.1378 2.0689 5.5171 -4.1378 2.0689 1.0345 2.7585 -2.0689 5.5171 2.7585 7.3561 -5.5171 -4.1378 -2.0689 -5.5171 4.1378 -2.0689 -1.0345 -2.7585 2.0689 -5.5171 -2.7585 -7.3561 5.5171 Columns 5 through 6 -2.0689 -5.5171 -1.0345 -2.7585 -2.7585 -7.3561 2.0689 5.5171 1.0345 2.7585 2.7585 7.3561 Ke = 1.0e+005 * Columns 1 through 4 0 0 0 0 0 0.1887 -0.5033 0 0 -0.5033 1.3422 0 0 0 0 0 0 -0.1887 0.5033 0 0 0.5033 -1.3422 0 Columns 5 through 6 0 0 -0.1887 0.5033 0.5033 -1.3422 0 0 0.1887 -0.5033 -0.5033 1.3422 Ke = 1.0e+005 * Columns 1 through 4 0 0 0 0 0 0.1887 0.5033 0 0 0.5033 1.3422 0 0 0 0 0 0 -0.1887 -0.5033 0 0 -0.5033 -1.3422 0 Columns 5 through 6 0 0 -0.1887 -0.5033 -0.5033 -1.3422 0 0 0.1887 0.5033 0.5033 1.3422 Ke = 1.0e+005 * Columns 1 through 4 0 0 0 0 0 0.1887 -0.5033 0 0 -0.5033 1.3422 0 0 0 0 0 0 -0.1887 0.5033 0 0 0.5033 -1.3422 0 Columns 5 through 6 0 0 -0.1887 0.5033 0.5033 -1.3422 0 0 0.1887 -0.5033 -0.5033 1.3422 Ke = 1.0e+005 * Columns 1 through 4 0 0 0 0 0 0.1887 0.5033 0 0 0.5033 1.3422 0 0 0 0 0 0 -0.1887 -0.5033 0 0 -0.5033 -1.3422 0 Columns 5 through 6 0 0 -0.1887 -0.5033 -0.5033 -1.3422 0 0 0.1887 0.5033 0.5033 1.3422 Ke = Columns 1 through 3 0 0 0 0 218000 0 0 0 0 0 0 0 0 -218000 0 0 0 0 Columns 4 through 6 0 0 0 0 -218000 0 0 0 0 0 0 0 0 218000 0 0 0 0 Ke = Columns 1 through 3 0 0 0 0 218000 0 0 0 0 0 0 0 0 -218000 0 0 0 0 Columns 4 through 6 0 0 0 0 -218000 0 0 0 0 0 0 0 0 218000 0 0 0 0 Ke = Columns 1 through 3 218000 0 0 0 0 0 0 0 0 -218000 0 0 0 0 0 0 0 0 Columns 4 through 6 -218000 0 0 0 0 0 0 0 0 218000 0 0 0 0 0 0 0 0 Ke = Columns 1 through 3 218000 0 0 0 0 0 0 0 0 -218000 0 0 0 0 0 0 0 0 Columns 4 through 6 -218000 0 0 0 0 0 0 0 0 218000 0 0 0 0 0 0 0 0 Ke = 1.0e+004 * Columns 1 through 4 1.0745 2.3640 1.7192 -1.0745 2.3640 5.2007 3.7823 -2.3640 1.7192 3.7823 2.7508 -1.7192 -1.0745 -2.3640 -1.7192 1.0745 -2.3640 -5.2007 -3.7823 2.3640 -1.7192 -3.7823 -2.7508 1.7192 Columns 5 through 6 -2.3640 -1.7192 -5.2007 -3.7823 -3.7823 -2.7508 2.3640 1.7192 5.2007 3.7823 3.7823 2.7508 Ke = 1.0e+004 * Columns 1 through 4 1.0745 -2.3640 1.7192 -1.0745 -2.3640 5.2007 -3.7823 2.3640 1.7192 -3.7823 2.7508 -1.7192 -1.0745 2.3640 -1.7192 1.0745 2.3640 -5.2007 3.7823 -2.3640 -1.7192 3.7823 -2.7508 1.7192 Columns 5 through 6 2.3640 -1.7192 -5.2007 3.7823 3.7823 -2.7508 -2.3640 1.7192 5.2007 -3.7823 -3.7823 2.7508 Ke = 1.0e+004 * Columns 1 through 4 1.0745 -2.3640 -1.7192 -1.0745 -2.3640 5.2007 3.7823 2.3640 -1.7192 3.7823 2.7508 1.7192 -1.0745 2.3640 1.7192 1.0745 2.3640 -5.2007 -3.7823 -2.3640 1.7192 -3.7823 -2.7508 -1.7192 Columns 5 through 6 2.3640 1.7192 -5.2007 -3.7823 -3.7823 -2.7508 -2.3640 -1.7192 5.2007 3.7823 3.7823 2.7508 Ke = 1.0e+004 * Columns 1 through 4 1.0745 2.3640 -1.7192 -1.0745 2.3640 5.2007 -3.7823 -2.3640 -1.7192 -3.7823 2.7508 1.7192 -1.0745 -2.3640 1.7192 1.0745 -2.3640 -5.2007 3.7823 2.3640 1.7192 3.7823 -2.7508 -1.7192 Columns 5 through 6 -2.3640 1.7192 -5.2007 3.7823 3.7823 -2.7508 2.3640 -1.7192 5.2007 -3.7823 -3.7823 2.7508 Ke = 1.0e+004 * Columns 1 through 4 5.2007 -2.3640 3.7823 -5.2007 -2.3640 1.0745 -1.7192 2.3640 3.7823 -1.7192 2.7508 -3.7823 -5.2007 2.3640 -3.7823 5.2007 2.3640 -1.0745 1.7192 -2.3640 -3.7823 1.7192 -2.7508 3.7823 Columns 5 through 6 2.3640 -3.7823 -1.0745 1.7192 1.7192 -2.7508 -2.3640 3.7823 1.0745 -1.7192 -1.7192 2.7508 Ke = 1.0e+004 * Columns 1 through 4 5.2007 2.3640 -3.7823 -5.2007 2.3640 1.0745 -1.7192 -2.3640 -3.7823 -1.7192 2.7508 3.7823 -5.2007 -2.3640 3.7823 5.2007 -2.3640 -1.0745 1.7192 2.3640 3.7823 1.7192 -2.7508 -3.7823 Columns 5 through 6 -2.3640 3.7823 -1.0745 1.7192 1.7192 -2.7508 2.3640 -3.7823 1.0745 -1.7192 -1.7192 2.7508 Ke = 1.0e+004 * Columns 1 through 4 5.2007 2.3640 3.7823 -5.2007 2.3640 1.0745 1.7192 -2.3640 3.7823 1.7192 2.7508 -3.7823 -5.2007 -2.3640 -3.7823 5.2007 -2.3640 -1.0745 -1.7192 2.3640 -3.7823 -1.7192 -2.7508 3.7823 Columns 5 through 6 -2.3640 -3.7823 -1.0745 -1.7192 -1.7192 -2.7508 2.3640 3.7823 1.0745 1.7192 1.7192 2.7508 Ke = 1.0e+004 * Columns 1 through 4 5.2007 -2.3640 -3.7823 -5.2007 -2.3640 1.0745 1.7192 2.3640 -3.7823 1.7192 2.7508 3.7823 -5.2007 2.3640 3.7823 5.2007 2.3640 -1.0745 -1.7192 -2.3640 3.7823 -1.7192 -2.7508 -3.7823 Columns 5 through 6 2.3640 3.7823 -1.0745 -1.7192 -1.7192 -2.7508 -2.3640 -3.7823 1.0745 1.7192 1.7192 2.7508 Ke = NaN NaN NaN NaN NaN NaN NaN NaN NaN NaN NaN NaN NaN NaN NaN NaN NaN NaN NaN NaN NaN NaN NaN NaN NaN NaN NaN NaN NaN NaN NaN NaN NaN NaN NaN NaN Ke = NaN NaN NaN NaN NaN NaN NaN NaN NaN NaN NaN NaN NaN NaN NaN NaN NaN NaN NaN NaN NaN NaN NaN NaN NaN NaN NaN NaN NaN NaN NaN NaN NaN NaN NaN NaN Ke = NaN NaN NaN NaN NaN NaN NaN NaN NaN NaN NaN NaN NaN NaN NaN NaN NaN NaN NaN NaN NaN NaN NaN NaN NaN NaN NaN NaN NaN NaN NaN NaN NaN NaN NaN NaN Ke = NaN NaN NaN NaN NaN NaN NaN NaN NaN NaN NaN NaN NaN NaN NaN NaN NaN NaN NaN NaN NaN NaN NaN NaN NaN NaN NaN NaN NaN NaN NaN NaN NaN NaN NaN NaN Ke = Columns 1 through 3 218000 0 0 0 0 0 0 0 0 -218000 0 0 0 0 0 0 0 0 Columns 4 through 6 -218000 0 0 0 0 0 0 0 0 218000 0 0 0 0 0 0 0 0 Ke = 1.0e+004 * Columns 1 through 4 4.1378 2.0689 -5.5171 -4.1378 2.0689 1.0345 -2.7585 -2.0689 -5.5171 -2.7585 7.3561 5.5171 -4.1378 -2.0689 5.5171 4.1378 -2.0689 -1.0345 2.7585 2.0689 5.5171 2.7585 -7.3561 -5.5171 Columns 5 through 6 -2.0689 5.5171 -1.0345 2.7585 2.7585 -7.3561 2.0689 -5.5171 1.0345 -2.7585 -2.7585 7.3561 Ke = 1.0e+004 * Columns 1 through 4 4.1378 -2.0689 5.5171 -4.1378 -2.0689 1.0345 -2.7585 2.0689 5.5171 -2.7585 7.3561 -5.5171 -4.1378 2.0689 -5.5171 4.1378 2.0689 -1.0345 2.7585 -2.0689 -5.5171 2.7585 -7.3561 5.5171 Columns 5 through 6 2.0689 -5.5171 -1.0345 2.7585 2.7585 -7.3561 -2.0689 5.5171 1.0345 -2.7585 -2.7585 7.3561 Ke = 1.0e+004 * Columns 1 through 4 4.1378 -2.0689 -5.5171 -4.1378 -2.0689 1.0345 2.7585 2.0689 -5.5171 2.7585 7.3561 5.5171 -4.1378 2.0689 5.5171 4.1378 2.0689 -1.0345 -2.7585 -2.0689 5.5171 -2.7585 -7.3561 -5.5171 Columns 5 through 6 2.0689 5.5171 -1.0345 -2.7585 -2.7585 -7.3561 -2.0689 -5.5171 1.0345 2.7585 2.7585 7.3561 Ke = 1.0e+004 * Columns 1 through 4 4.1378 2.0689 5.5171 -4.1378 2.0689 1.0345 2.7585 -2.0689 5.5171 2.7585 7.3561 -5.5171 -4.1378 -2.0689 -5.5171 4.1378 -2.0689 -1.0345 -2.7585 2.0689 -5.5171 -2.7585 -7.3561 5.5171 Columns 5 through 6 -2.0689 -5.5171 -1.0345 -2.7585 -2.7585 -7.3561 2.0689 5.5171 1.0345 2.7585 2.7585 7.3561 Ke = 1.0e+005 * Columns 1 through 4 0 0 0 0 0 0.1887 -0.5033 0 0 -0.5033 1.3422 0 0 0 0 0 0 -0.1887 0.5033 0 0 0.5033 -1.3422 0 Columns 5 through 6 0 0 -0.1887 0.5033 0.5033 -1.3422 0 0 0.1887 -0.5033 -0.5033 1.3422 Ke = 1.0e+005 * Columns 1 through 4 0 0 0 0 0 0.1887 0.5033 0 0 0.5033 1.3422 0 0 0 0 0 0 -0.1887 -0.5033 0 0 -0.5033 -1.3422 0 Columns 5 through 6 0 0 -0.1887 -0.5033 -0.5033 -1.3422 0 0 0.1887 0.5033 0.5033 1.3422 Ke = 1.0e+005 * Columns 1 through 4 0 0 0 0 0 0.1887 -0.5033 0 0 -0.5033 1.3422 0 0 0 0 0 0 -0.1887 0.5033 0 0 0.5033 -1.3422 0 Columns 5 through 6 0 0 -0.1887 0.5033 0.5033 -1.3422 0 0 0.1887 -0.5033 -0.5033 1.3422 Ke = 1.0e+005 * Columns 1 through 4 0 0 0 0 0 0.1887 0.5033 0 0 0.5033 1.3422 0 0 0 0 0 0 -0.1887 -0.5033 0 0 -0.5033 -1.3422 0 Columns 5 through 6 0 0 -0.1887 -0.5033 -0.5033 -1.3422 0 0 0.1887 0.5033 0.5033 1.3422 Ke = Columns 1 through 3 0 0 0 0 218000 0 0 0 0 0 0 0 0 -218000 0 0 0 0 Columns 4 through 6 0 0 0 0 -218000 0 0 0 0 0 0 0 0 218000 0 0 0 0 Ke = Columns 1 through 3 0 0 0 0 218000 0 0 0 0 0 0 0 0 -218000 0 0 0 0 Columns 4 through 6 0 0 0 0 -218000 0 0 0 0 0 0 0 0 218000 0 0 0 0 Ke = Columns 1 through 3 218000 0 0 0 0 0 0 0 0 -218000 0 0 0 0 0 0 0 0 Columns 4 through 6 -218000 0 0 0 0 0 0 0 0 218000 0 0 0 0 0 0 0 0 Ke = Columns 1 through 3 218000 0 0 0 0 0 0 0 0 -218000 0 0 0 0 0 0 0 0 Columns 4 through 6 -218000 0 0 0 0 0 0 0 0 218000 0 0 0 0 0 0 0 0 Ke = 1.0e+004 * Columns 1 through 4 1.0745 2.3640 1.7192 -1.0745 2.3640 5.2007 3.7823 -2.3640 1.7192 3.7823 2.7508 -1.7192 -1.0745 -2.3640 -1.7192 1.0745 -2.3640 -5.2007 -3.7823 2.3640 -1.7192 -3.7823 -2.7508 1.7192 Columns 5 through 6 -2.3640 -1.7192 -5.2007 -3.7823 -3.7823 -2.7508 2.3640 1.7192 5.2007 3.7823 3.7823 2.7508 Ke = 1.0e+004 * Columns 1 through 4 1.0745 -2.3640 1.7192 -1.0745 -2.3640 5.2007 -3.7823 2.3640 1.7192 -3.7823 2.7508 -1.7192 -1.0745 2.3640 -1.7192 1.0745 2.3640 -5.2007 3.7823 -2.3640 -1.7192 3.7823 -2.7508 1.7192 Columns 5 through 6 2.3640 -1.7192 -5.2007 3.7823 3.7823 -2.7508 -2.3640 1.7192 5.2007 -3.7823 -3.7823 2.7508 Ke = 1.0e+004 * Columns 1 through 4 1.0745 -2.3640 -1.7192 -1.0745 -2.3640 5.2007 3.7823 2.3640 -1.7192 3.7823 2.7508 1.7192 -1.0745 2.3640 1.7192 1.0745 2.3640 -5.2007 -3.7823 -2.3640 1.7192 -3.7823 -2.7508 -1.7192 Columns 5 through 6 2.3640 1.7192 -5.2007 -3.7823 -3.7823 -2.7508 -2.3640 -1.7192 5.2007 3.7823 3.7823 2.7508 Ke = 1.0e+004 * Columns 1 through 4 1.0745 2.3640 -1.7192 -1.0745 2.3640 5.2007 -3.7823 -2.3640 -1.7192 -3.7823 2.7508 1.7192 -1.0745 -2.3640 1.7192 1.0745 -2.3640 -5.2007 3.7823 2.3640 1.7192 3.7823 -2.7508 -1.7192 Columns 5 through 6 -2.3640 1.7192 -5.2007 3.7823 3.7823 -2.7508 2.3640 -1.7192 5.2007 -3.7823 -3.7823 2.7508 Ke = 1.0e+004 * Columns 1 through 4 5.2007 -2.3640 3.7823 -5.2007 -2.3640 1.0745 -1.7192 2.3640 3.7823 -1.7192 2.7508 -3.7823 -5.2007 2.3640 -3.7823 5.2007 2.3640 -1.0745 1.7192 -2.3640 -3.7823 1.7192 -2.7508 3.7823 Columns 5 through 6 2.3640 -3.7823 -1.0745 1.7192 1.7192 -2.7508 -2.3640 3.7823 1.0745 -1.7192 -1.7192 2.7508 Ke = 1.0e+004 * Columns 1 through 4 5.2007 2.3640 -3.7823 -5.2007 2.3640 1.0745 -1.7192 -2.3640 -3.7823 -1.7192 2.7508 3.7823 -5.2007 -2.3640 3.7823 5.2007 -2.3640 -1.0745 1.7192 2.3640 3.7823 1.7192 -2.7508 -3.7823 Columns 5 through 6 -2.3640 3.7823 -1.0745 1.7192 1.7192 -2.7508 2.3640 -3.7823 1.0745 -1.7192 -1.7192 2.7508 Ke = 1.0e+004 * Columns 1 through 4 5.2007 2.3640 3.7823 -5.2007 2.3640 1.0745 1.7192 -2.3640 3.7823 1.7192 2.7508 -3.7823 -5.2007 -2.3640 -3.7823 5.2007 -2.3640 -1.0745 -1.7192 2.3640 -3.7823 -1.7192 -2.7508 3.7823 Columns 5 through 6 -2.3640 -3.7823 -1.0745 -1.7192 -1.7192 -2.7508 2.3640 3.7823 1.0745 1.7192 1.7192 2.7508 Ke = 1.0e+004 * Columns 1 through 4 5.2007 -2.3640 -3.7823 -5.2007 -2.3640 1.0745 1.7192 2.3640 -3.7823 1.7192 2.7508 3.7823 -5.2007 2.3640 3.7823 5.2007 2.3640 -1.0745 -1.7192 -2.3640 3.7823 -1.7192 -2.7508 -3.7823 Columns 5 through 6 2.3640 3.7823 -1.0745 -1.7192 -1.7192 -2.7508 -2.3640 -3.7823 1.0745 1.7192 1.7192 2.7508 Ke = 1.0e+004 * Columns 1 through 4 2.6865 2.6865 4.2984 -2.6865 2.6865 2.6865 4.2984 -2.6865 4.2984 4.2984 6.8775 -4.2984 -2.6865 -2.6865 -4.2984 2.6865 -2.6865 -2.6865 -4.2984 2.6865 -4.2984 -4.2984 -6.8775 4.2984 Columns 5 through 6 -2.6865 -4.2984 -2.6865 -4.2984 -4.2984 -6.8775 2.6865 4.2984 2.6865 4.2984 4.2984 6.8775 Ke = NaN NaN NaN NaN NaN NaN NaN NaN NaN NaN NaN NaN NaN NaN NaN NaN NaN NaN NaN NaN NaN NaN NaN NaN NaN NaN NaN NaN NaN NaN NaN NaN NaN NaN NaN NaN Ke = NaN NaN NaN NaN NaN NaN NaN NaN NaN NaN NaN NaN NaN NaN NaN NaN NaN NaN NaN NaN NaN NaN NaN NaN NaN NaN NaN NaN NaN NaN NaN NaN NaN NaN NaN NaN Ke = NaN NaN NaN NaN NaN NaN NaN NaN NaN NaN NaN NaN NaN NaN NaN NaN NaN NaN NaN NaN NaN NaN NaN NaN NaN NaN NaN NaN NaN NaN NaN NaN NaN NaN NaN NaN Ke = Columns 1 through 3 218000 0 0 0 0 0 0 0 0 -218000 0 0 0 0 0 0 0 0 Columns 4 through 6 -218000 0 0 0 0 0 0 0 0 218000 0 0 0 0 0 0 0 0 Ke = 1.0e+004 * Columns 1 through 4 4.1378 2.0689 -5.5171 -4.1378 2.0689 1.0345 -2.7585 -2.0689 -5.5171 -2.7585 7.3561 5.5171 -4.1378 -2.0689 5.5171 4.1378 -2.0689 -1.0345 2.7585 2.0689 5.5171 2.7585 -7.3561 -5.5171 Columns 5 through 6 -2.0689 5.5171 -1.0345 2.7585 2.7585 -7.3561 2.0689 -5.5171 1.0345 -2.7585 -2.7585 7.3561 Ke = 1.0e+004 * Columns 1 through 4 4.1378 -2.0689 5.5171 -4.1378 -2.0689 1.0345 -2.7585 2.0689 5.5171 -2.7585 7.3561 -5.5171 -4.1378 2.0689 -5.5171 4.1378 2.0689 -1.0345 2.7585 -2.0689 -5.5171 2.7585 -7.3561 5.5171 Columns 5 through 6 2.0689 -5.5171 -1.0345 2.7585 2.7585 -7.3561 -2.0689 5.5171 1.0345 -2.7585 -2.7585 7.3561 Ke = 1.0e+004 * Columns 1 through 4 4.1378 -2.0689 -5.5171 -4.1378 -2.0689 1.0345 2.7585 2.0689 -5.5171 2.7585 7.3561 5.5171 -4.1378 2.0689 5.5171 4.1378 2.0689 -1.0345 -2.7585 -2.0689 5.5171 -2.7585 -7.3561 -5.5171 Columns 5 through 6 2.0689 5.5171 -1.0345 -2.7585 -2.7585 -7.3561 -2.0689 -5.5171 1.0345 2.7585 2.7585 7.3561 Ke = 1.0e+004 * Columns 1 through 4 4.1378 2.0689 5.5171 -4.1378 2.0689 1.0345 2.7585 -2.0689 5.5171 2.7585 7.3561 -5.5171 -4.1378 -2.0689 -5.5171 4.1378 -2.0689 -1.0345 -2.7585 2.0689 -5.5171 -2.7585 -7.3561 5.5171 Columns 5 through 6 -2.0689 -5.5171 -1.0345 -2.7585 -2.7585 -7.3561 2.0689 5.5171 1.0345 2.7585 2.7585 7.3561 Ke = 1.0e+005 * Columns 1 through 4 0 0 0 0 0 0.1887 -0.5033 0 0 -0.5033 1.3422 0 0 0 0 0 0 -0.1887 0.5033 0 0 0.5033 -1.3422 0 Columns 5 through 6 0 0 -0.1887 0.5033 0.5033 -1.3422 0 0 0.1887 -0.5033 -0.5033 1.3422 Ke = 1.0e+005 * Columns 1 through 4 0 0 0 0 0 0.1887 0.5033 0 0 0.5033 1.3422 0 0 0 0 0 0 -0.1887 -0.5033 0 0 -0.5033 -1.3422 0 Columns 5 through 6 0 0 -0.1887 -0.5033 -0.5033 -1.3422 0 0 0.1887 0.5033 0.5033 1.3422 Ke = 1.0e+005 * Columns 1 through 4 0 0 0 0 0 0.1887 -0.5033 0 0 -0.5033 1.3422 0 0 0 0 0 0 -0.1887 0.5033 0 0 0.5033 -1.3422 0 Columns 5 through 6 0 0 -0.1887 0.5033 0.5033 -1.3422 0 0 0.1887 -0.5033 -0.5033 1.3422 Ke = 1.0e+005 * Columns 1 through 4 0 0 0 0 0 0.1887 0.5033 0 0 0.5033 1.3422 0 0 0 0 0 0 -0.1887 -0.5033 0 0 -0.5033 -1.3422 0 Columns 5 through 6 0 0 -0.1887 -0.5033 -0.5033 -1.3422 0 0 0.1887 0.5033 0.5033 1.3422 Ke = Columns 1 through 3 0 0 0 0 218000 0 0 0 0 0 0 0 0 -218000 0 0 0 0 Columns 4 through 6 0 0 0 0 -218000 0 0 0 0 0 0 0 0 218000 0 0 0 0 Ke = Columns 1 through 3 0 0 0 0 218000 0 0 0 0 0 0 0 0 -218000 0 0 0 0 Columns 4 through 6 0 0 0 0 -218000 0 0 0 0 0 0 0 0 218000 0 0 0 0 Ke = Columns 1 through 3 218000 0 0 0 0 0 0 0 0 -218000 0 0 0 0 0 0 0 0 Columns 4 through 6 -218000 0 0 0 0 0 0 0 0 218000 0 0 0 0 0 0 0 0 Ke = Columns 1 through 3 218000 0 0 0 0 0 0 0 0 -218000 0 0 0 0 0 0 0 0 Columns 4 through 6 -218000 0 0 0 0 0 0 0 0 218000 0 0 0 0 0 0 0 0 Ke = 1.0e+004 * Columns 1 through 4 1.0745 2.3640 1.7192 -1.0745 2.3640 5.2007 3.7823 -2.3640 1.7192 3.7823 2.7508 -1.7192 -1.0745 -2.3640 -1.7192 1.0745 -2.3640 -5.2007 -3.7823 2.3640 -1.7192 -3.7823 -2.7508 1.7192 Columns 5 through 6 -2.3640 -1.7192 -5.2007 -3.7823 -3.7823 -2.7508 2.3640 1.7192 5.2007 3.7823 3.7823 2.7508 Ke = 1.0e+004 * Columns 1 through 4 1.0745 -2.3640 1.7192 -1.0745 -2.3640 5.2007 -3.7823 2.3640 1.7192 -3.7823 2.7508 -1.7192 -1.0745 2.3640 -1.7192 1.0745 2.3640 -5.2007 3.7823 -2.3640 -1.7192 3.7823 -2.7508 1.7192 Columns 5 through 6 2.3640 -1.7192 -5.2007 3.7823 3.7823 -2.7508 -2.3640 1.7192 5.2007 -3.7823 -3.7823 2.7508 Ke = 1.0e+004 * Columns 1 through 4 1.0745 -2.3640 -1.7192 -1.0745 -2.3640 5.2007 3.7823 2.3640 -1.7192 3.7823 2.7508 1.7192 -1.0745 2.3640 1.7192 1.0745 2.3640 -5.2007 -3.7823 -2.3640 1.7192 -3.7823 -2.7508 -1.7192 Columns 5 through 6 2.3640 1.7192 -5.2007 -3.7823 -3.7823 -2.7508 -2.3640 -1.7192 5.2007 3.7823 3.7823 2.7508 Ke = 1.0e+004 * Columns 1 through 4 1.0745 2.3640 -1.7192 -1.0745 2.3640 5.2007 -3.7823 -2.3640 -1.7192 -3.7823 2.7508 1.7192 -1.0745 -2.3640 1.7192 1.0745 -2.3640 -5.2007 3.7823 2.3640 1.7192 3.7823 -2.7508 -1.7192 Columns 5 through 6 -2.3640 1.7192 -5.2007 3.7823 3.7823 -2.7508 2.3640 -1.7192 5.2007 -3.7823 -3.7823 2.7508 Ke = 1.0e+004 * Columns 1 through 4 5.2007 -2.3640 3.7823 -5.2007 -2.3640 1.0745 -1.7192 2.3640 3.7823 -1.7192 2.7508 -3.7823 -5.2007 2.3640 -3.7823 5.2007 2.3640 -1.0745 1.7192 -2.3640 -3.7823 1.7192 -2.7508 3.7823 Columns 5 through 6 2.3640 -3.7823 -1.0745 1.7192 1.7192 -2.7508 -2.3640 3.7823 1.0745 -1.7192 -1.7192 2.7508 Ke = 1.0e+004 * Columns 1 through 4 5.2007 2.3640 -3.7823 -5.2007 2.3640 1.0745 -1.7192 -2.3640 -3.7823 -1.7192 2.7508 3.7823 -5.2007 -2.3640 3.7823 5.2007 -2.3640 -1.0745 1.7192 2.3640 3.7823 1.7192 -2.7508 -3.7823 Columns 5 through 6 -2.3640 3.7823 -1.0745 1.7192 1.7192 -2.7508 2.3640 -3.7823 1.0745 -1.7192 -1.7192 2.7508 Ke = 1.0e+004 * Columns 1 through 4 5.2007 2.3640 3.7823 -5.2007 2.3640 1.0745 1.7192 -2.3640 3.7823 1.7192 2.7508 -3.7823 -5.2007 -2.3640 -3.7823 5.2007 -2.3640 -1.0745 -1.7192 2.3640 -3.7823 -1.7192 -2.7508 3.7823 Columns 5 through 6 -2.3640 -3.7823 -1.0745 -1.7192 -1.7192 -2.7508 2.3640 3.7823 1.0745 1.7192 1.7192 2.7508 Ke = 1.0e+004 * Columns 1 through 4 5.2007 -2.3640 -3.7823 -5.2007 -2.3640 1.0745 1.7192 2.3640 -3.7823 1.7192 2.7508 3.7823 -5.2007 2.3640 3.7823 5.2007 2.3640 -1.0745 -1.7192 -2.3640 3.7823 -1.7192 -2.7508 -3.7823 Columns 5 through 6 2.3640 3.7823 -1.0745 -1.7192 -1.7192 -2.7508 -2.3640 -3.7823 1.0745 1.7192 1.7192 2.7508 Ke = 1.0e+004 * Columns 1 through 4 2.6865 2.6865 4.2984 -2.6865 2.6865 2.6865 4.2984 -2.6865 4.2984 4.2984 6.8775 -4.2984 -2.6865 -2.6865 -4.2984 2.6865 -2.6865 -2.6865 -4.2984 2.6865 -4.2984 -4.2984 -6.8775 4.2984 Columns 5 through 6 -2.6865 -4.2984 -2.6865 -4.2984 -4.2984 -6.8775 2.6865 4.2984 2.6865 4.2984 4.2984 6.8775 Ke = 1.0e+004 * Columns 1 through 4 2.6865 -2.6865 4.2984 -2.6865 -2.6865 2.6865 -4.2984 2.6865 4.2984 -4.2984 6.8775 -4.2984 -2.6865 2.6865 -4.2984 2.6865 2.6865 -2.6865 4.2984 -2.6865 -4.2984 4.2984 -6.8775 4.2984 Columns 5 through 6 2.6865 -4.2984 -2.6865 4.2984 4.2984 -6.8775 -2.6865 4.2984 2.6865 -4.2984 -4.2984 6.8775 Ke = NaN NaN NaN NaN NaN NaN NaN NaN NaN NaN NaN NaN NaN NaN NaN NaN NaN NaN NaN NaN NaN NaN NaN NaN NaN NaN NaN NaN NaN NaN NaN NaN NaN NaN NaN NaN Ke = NaN NaN NaN NaN NaN NaN NaN NaN NaN NaN NaN NaN NaN NaN NaN NaN NaN NaN NaN NaN NaN NaN NaN NaN NaN NaN NaN NaN NaN NaN NaN NaN NaN NaN NaN NaN Ke = Columns 1 through 3 218000 0 0 0 0 0 0 0 0 -218000 0 0 0 0 0 0 0 0 Columns 4 through 6 -218000 0 0 0 0 0 0 0 0 218000 0 0 0 0 0 0 0 0 Ke = 1.0e+004 * Columns 1 through 4 4.1378 2.0689 -5.5171 -4.1378 2.0689 1.0345 -2.7585 -2.0689 -5.5171 -2.7585 7.3561 5.5171 -4.1378 -2.0689 5.5171 4.1378 -2.0689 -1.0345 2.7585 2.0689 5.5171 2.7585 -7.3561 -5.5171 Columns 5 through 6 -2.0689 5.5171 -1.0345 2.7585 2.7585 -7.3561 2.0689 -5.5171 1.0345 -2.7585 -2.7585 7.3561 Ke = 1.0e+004 * Columns 1 through 4 4.1378 -2.0689 5.5171 -4.1378 -2.0689 1.0345 -2.7585 2.0689 5.5171 -2.7585 7.3561 -5.5171 -4.1378 2.0689 -5.5171 4.1378 2.0689 -1.0345 2.7585 -2.0689 -5.5171 2.7585 -7.3561 5.5171 Columns 5 through 6 2.0689 -5.5171 -1.0345 2.7585 2.7585 -7.3561 -2.0689 5.5171 1.0345 -2.7585 -2.7585 7.3561 Ke = 1.0e+004 * Columns 1 through 4 4.1378 -2.0689 -5.5171 -4.1378 -2.0689 1.0345 2.7585 2.0689 -5.5171 2.7585 7.3561 5.5171 -4.1378 2.0689 5.5171 4.1378 2.0689 -1.0345 -2.7585 -2.0689 5.5171 -2.7585 -7.3561 -5.5171 Columns 5 through 6 2.0689 5.5171 -1.0345 -2.7585 -2.7585 -7.3561 -2.0689 -5.5171 1.0345 2.7585 2.7585 7.3561 Ke = 1.0e+004 * Columns 1 through 4 4.1378 2.0689 5.5171 -4.1378 2.0689 1.0345 2.7585 -2.0689 5.5171 2.7585 7.3561 -5.5171 -4.1378 -2.0689 -5.5171 4.1378 -2.0689 -1.0345 -2.7585 2.0689 -5.5171 -2.7585 -7.3561 5.5171 Columns 5 through 6 -2.0689 -5.5171 -1.0345 -2.7585 -2.7585 -7.3561 2.0689 5.5171 1.0345 2.7585 2.7585 7.3561 Ke = 1.0e+005 * Columns 1 through 4 0 0 0 0 0 0.1887 -0.5033 0 0 -0.5033 1.3422 0 0 0 0 0 0 -0.1887 0.5033 0 0 0.5033 -1.3422 0 Columns 5 through 6 0 0 -0.1887 0.5033 0.5033 -1.3422 0 0 0.1887 -0.5033 -0.5033 1.3422 Ke = 1.0e+005 * Columns 1 through 4 0 0 0 0 0 0.1887 0.5033 0 0 0.5033 1.3422 0 0 0 0 0 0 -0.1887 -0.5033 0 0 -0.5033 -1.3422 0 Columns 5 through 6 0 0 -0.1887 -0.5033 -0.5033 -1.3422 0 0 0.1887 0.5033 0.5033 1.3422 Ke = 1.0e+005 * Columns 1 through 4 0 0 0 0 0 0.1887 -0.5033 0 0 -0.5033 1.3422 0 0 0 0 0 0 -0.1887 0.5033 0 0 0.5033 -1.3422 0 Columns 5 through 6 0 0 -0.1887 0.5033 0.5033 -1.3422 0 0 0.1887 -0.5033 -0.5033 1.3422 Ke = 1.0e+005 * Columns 1 through 4 0 0 0 0 0 0.1887 0.5033 0 0 0.5033 1.3422 0 0 0 0 0 0 -0.1887 -0.5033 0 0 -0.5033 -1.3422 0 Columns 5 through 6 0 0 -0.1887 -0.5033 -0.5033 -1.3422 0 0 0.1887 0.5033 0.5033 1.3422 Ke = Columns 1 through 3 0 0 0 0 218000 0 0 0 0 0 0 0 0 -218000 0 0 0 0 Columns 4 through 6 0 0 0 0 -218000 0 0 0 0 0 0 0 0 218000 0 0 0 0 Ke = Columns 1 through 3 0 0 0 0 218000 0 0 0 0 0 0 0 0 -218000 0 0 0 0 Columns 4 through 6 0 0 0 0 -218000 0 0 0 0 0 0 0 0 218000 0 0 0 0 Ke = Columns 1 through 3 218000 0 0 0 0 0 0 0 0 -218000 0 0 0 0 0 0 0 0 Columns 4 through 6 -218000 0 0 0 0 0 0 0 0 218000 0 0 0 0 0 0 0 0 Ke = Columns 1 through 3 218000 0 0 0 0 0 0 0 0 -218000 0 0 0 0 0 0 0 0 Columns 4 through 6 -218000 0 0 0 0 0 0 0 0 218000 0 0 0 0 0 0 0 0 Ke = 1.0e+004 * Columns 1 through 4 1.0745 2.3640 1.7192 -1.0745 2.3640 5.2007 3.7823 -2.3640 1.7192 3.7823 2.7508 -1.7192 -1.0745 -2.3640 -1.7192 1.0745 -2.3640 -5.2007 -3.7823 2.3640 -1.7192 -3.7823 -2.7508 1.7192 Columns 5 through 6 -2.3640 -1.7192 -5.2007 -3.7823 -3.7823 -2.7508 2.3640 1.7192 5.2007 3.7823 3.7823 2.7508 Ke = 1.0e+004 * Columns 1 through 4 1.0745 -2.3640 1.7192 -1.0745 -2.3640 5.2007 -3.7823 2.3640 1.7192 -3.7823 2.7508 -1.7192 -1.0745 2.3640 -1.7192 1.0745 2.3640 -5.2007 3.7823 -2.3640 -1.7192 3.7823 -2.7508 1.7192 Columns 5 through 6 2.3640 -1.7192 -5.2007 3.7823 3.7823 -2.7508 -2.3640 1.7192 5.2007 -3.7823 -3.7823 2.7508 Ke = 1.0e+004 * Columns 1 through 4 1.0745 -2.3640 -1.7192 -1.0745 -2.3640 5.2007 3.7823 2.3640 -1.7192 3.7823 2.7508 1.7192 -1.0745 2.3640 1.7192 1.0745 2.3640 -5.2007 -3.7823 -2.3640 1.7192 -3.7823 -2.7508 -1.7192 Columns 5 through 6 2.3640 1.7192 -5.2007 -3.7823 -3.7823 -2.7508 -2.3640 -1.7192 5.2007 3.7823 3.7823 2.7508 Ke = 1.0e+004 * Columns 1 through 4 1.0745 2.3640 -1.7192 -1.0745 2.3640 5.2007 -3.7823 -2.3640 -1.7192 -3.7823 2.7508 1.7192 -1.0745 -2.3640 1.7192 1.0745 -2.3640 -5.2007 3.7823 2.3640 1.7192 3.7823 -2.7508 -1.7192 Columns 5 through 6 -2.3640 1.7192 -5.2007 3.7823 3.7823 -2.7508 2.3640 -1.7192 5.2007 -3.7823 -3.7823 2.7508 Ke = 1.0e+004 * Columns 1 through 4 5.2007 -2.3640 3.7823 -5.2007 -2.3640 1.0745 -1.7192 2.3640 3.7823 -1.7192 2.7508 -3.7823 -5.2007 2.3640 -3.7823 5.2007 2.3640 -1.0745 1.7192 -2.3640 -3.7823 1.7192 -2.7508 3.7823 Columns 5 through 6 2.3640 -3.7823 -1.0745 1.7192 1.7192 -2.7508 -2.3640 3.7823 1.0745 -1.7192 -1.7192 2.7508 Ke = 1.0e+004 * Columns 1 through 4 5.2007 2.3640 -3.7823 -5.2007 2.3640 1.0745 -1.7192 -2.3640 -3.7823 -1.7192 2.7508 3.7823 -5.2007 -2.3640 3.7823 5.2007 -2.3640 -1.0745 1.7192 2.3640 3.7823 1.7192 -2.7508 -3.7823 Columns 5 through 6 -2.3640 3.7823 -1.0745 1.7192 1.7192 -2.7508 2.3640 -3.7823 1.0745 -1.7192 -1.7192 2.7508 Ke = 1.0e+004 * Columns 1 through 4 5.2007 2.3640 3.7823 -5.2007 2.3640 1.0745 1.7192 -2.3640 3.7823 1.7192 2.7508 -3.7823 -5.2007 -2.3640 -3.7823 5.2007 -2.3640 -1.0745 -1.7192 2.3640 -3.7823 -1.7192 -2.7508 3.7823 Columns 5 through 6 -2.3640 -3.7823 -1.0745 -1.7192 -1.7192 -2.7508 2.3640 3.7823 1.0745 1.7192 1.7192 2.7508 Ke = 1.0e+004 * Columns 1 through 4 5.2007 -2.3640 -3.7823 -5.2007 -2.3640 1.0745 1.7192 2.3640 -3.7823 1.7192 2.7508 3.7823 -5.2007 2.3640 3.7823 5.2007 2.3640 -1.0745 -1.7192 -2.3640 3.7823 -1.7192 -2.7508 -3.7823 Columns 5 through 6 2.3640 3.7823 -1.0745 -1.7192 -1.7192 -2.7508 -2.3640 -3.7823 1.0745 1.7192 1.7192 2.7508 Ke = 1.0e+004 * Columns 1 through 4 2.6865 2.6865 4.2984 -2.6865 2.6865 2.6865 4.2984 -2.6865 4.2984 4.2984 6.8775 -4.2984 -2.6865 -2.6865 -4.2984 2.6865 -2.6865 -2.6865 -4.2984 2.6865 -4.2984 -4.2984 -6.8775 4.2984 Columns 5 through 6 -2.6865 -4.2984 -2.6865 -4.2984 -4.2984 -6.8775 2.6865 4.2984 2.6865 4.2984 4.2984 6.8775 Ke = 1.0e+004 * Columns 1 through 4 2.6865 -2.6865 4.2984 -2.6865 -2.6865 2.6865 -4.2984 2.6865 4.2984 -4.2984 6.8775 -4.2984 -2.6865 2.6865 -4.2984 2.6865 2.6865 -2.6865 4.2984 -2.6865 -4.2984 4.2984 -6.8775 4.2984 Columns 5 through 6 2.6865 -4.2984 -2.6865 4.2984 4.2984 -6.8775 -2.6865 4.2984 2.6865 -4.2984 -4.2984 6.8775 Ke = 1.0e+004 * Columns 1 through 4 2.6865 2.6865 -4.2984 -2.6865 2.6865 2.6865 -4.2984 -2.6865 -4.2984 -4.2984 6.8775 4.2984 -2.6865 -2.6865 4.2984 2.6865 -2.6865 -2.6865 4.2984 2.6865 4.2984 4.2984 -6.8775 -4.2984 Columns 5 through 6 -2.6865 4.2984 -2.6865 4.2984 4.2984 -6.8775 2.6865 -4.2984 2.6865 -4.2984 -4.2984 6.8775 Ke = NaN NaN NaN NaN NaN NaN NaN NaN NaN NaN NaN NaN NaN NaN NaN NaN NaN NaN NaN NaN NaN NaN NaN NaN NaN NaN NaN NaN NaN NaN NaN NaN NaN NaN NaN NaN Ke = Columns 1 through 3 218000 0 0 0 0 0 0 0 0 -218000 0 0 0 0 0 0 0 0 Columns 4 through 6 -218000 0 0 0 0 0 0 0 0 218000 0 0 0 0 0 0 0 0 Ke = 1.0e+004 * Columns 1 through 4 4.1378 2.0689 -5.5171 -4.1378 2.0689 1.0345 -2.7585 -2.0689 -5.5171 -2.7585 7.3561 5.5171 -4.1378 -2.0689 5.5171 4.1378 -2.0689 -1.0345 2.7585 2.0689 5.5171 2.7585 -7.3561 -5.5171 Columns 5 through 6 -2.0689 5.5171 -1.0345 2.7585 2.7585 -7.3561 2.0689 -5.5171 1.0345 -2.7585 -2.7585 7.3561 Ke = 1.0e+004 * Columns 1 through 4 4.1378 -2.0689 5.5171 -4.1378 -2.0689 1.0345 -2.7585 2.0689 5.5171 -2.7585 7.3561 -5.5171 -4.1378 2.0689 -5.5171 4.1378 2.0689 -1.0345 2.7585 -2.0689 -5.5171 2.7585 -7.3561 5.5171 Columns 5 through 6 2.0689 -5.5171 -1.0345 2.7585 2.7585 -7.3561 -2.0689 5.5171 1.0345 -2.7585 -2.7585 7.3561 Ke = 1.0e+004 * Columns 1 through 4 4.1378 -2.0689 -5.5171 -4.1378 -2.0689 1.0345 2.7585 2.0689 -5.5171 2.7585 7.3561 5.5171 -4.1378 2.0689 5.5171 4.1378 2.0689 -1.0345 -2.7585 -2.0689 5.5171 -2.7585 -7.3561 -5.5171 Columns 5 through 6 2.0689 5.5171 -1.0345 -2.7585 -2.7585 -7.3561 -2.0689 -5.5171 1.0345 2.7585 2.7585 7.3561 Ke = 1.0e+004 * Columns 1 through 4 4.1378 2.0689 5.5171 -4.1378 2.0689 1.0345 2.7585 -2.0689 5.5171 2.7585 7.3561 -5.5171 -4.1378 -2.0689 -5.5171 4.1378 -2.0689 -1.0345 -2.7585 2.0689 -5.5171 -2.7585 -7.3561 5.5171 Columns 5 through 6 -2.0689 -5.5171 -1.0345 -2.7585 -2.7585 -7.3561 2.0689 5.5171 1.0345 2.7585 2.7585 7.3561 Ke = 1.0e+005 * Columns 1 through 4 0 0 0 0 0 0.1887 -0.5033 0 0 -0.5033 1.3422 0 0 0 0 0 0 -0.1887 0.5033 0 0 0.5033 -1.3422 0 Columns 5 through 6 0 0 -0.1887 0.5033 0.5033 -1.3422 0 0 0.1887 -0.5033 -0.5033 1.3422 Ke = 1.0e+005 * Columns 1 through 4 0 0 0 0 0 0.1887 0.5033 0 0 0.5033 1.3422 0 0 0 0 0 0 -0.1887 -0.5033 0 0 -0.5033 -1.3422 0 Columns 5 through 6 0 0 -0.1887 -0.5033 -0.5033 -1.3422 0 0 0.1887 0.5033 0.5033 1.3422 Ke = 1.0e+005 * Columns 1 through 4 0 0 0 0 0 0.1887 -0.5033 0 0 -0.5033 1.3422 0 0 0 0 0 0 -0.1887 0.5033 0 0 0.5033 -1.3422 0 Columns 5 through 6 0 0 -0.1887 0.5033 0.5033 -1.3422 0 0 0.1887 -0.5033 -0.5033 1.3422 Ke = 1.0e+005 * Columns 1 through 4 0 0 0 0 0 0.1887 0.5033 0 0 0.5033 1.3422 0 0 0 0 0 0 -0.1887 -0.5033 0 0 -0.5033 -1.3422 0 Columns 5 through 6 0 0 -0.1887 -0.5033 -0.5033 -1.3422 0 0 0.1887 0.5033 0.5033 1.3422 Ke = Columns 1 through 3 0 0 0 0 218000 0 0 0 0 0 0 0 0 -218000 0 0 0 0 Columns 4 through 6 0 0 0 0 -218000 0 0 0 0 0 0 0 0 218000 0 0 0 0 Ke = Columns 1 through 3 0 0 0 0 218000 0 0 0 0 0 0 0 0 -218000 0 0 0 0 Columns 4 through 6 0 0 0 0 -218000 0 0 0 0 0 0 0 0 218000 0 0 0 0 Ke = Columns 1 through 3 218000 0 0 0 0 0 0 0 0 -218000 0 0 0 0 0 0 0 0 Columns 4 through 6 -218000 0 0 0 0 0 0 0 0 218000 0 0 0 0 0 0 0 0 Ke = Columns 1 through 3 218000 0 0 0 0 0 0 0 0 -218000 0 0 0 0 0 0 0 0 Columns 4 through 6 -218000 0 0 0 0 0 0 0 0 218000 0 0 0 0 0 0 0 0 Ke = 1.0e+004 * Columns 1 through 4 1.0745 2.3640 1.7192 -1.0745 2.3640 5.2007 3.7823 -2.3640 1.7192 3.7823 2.7508 -1.7192 -1.0745 -2.3640 -1.7192 1.0745 -2.3640 -5.2007 -3.7823 2.3640 -1.7192 -3.7823 -2.7508 1.7192 Columns 5 through 6 -2.3640 -1.7192 -5.2007 -3.7823 -3.7823 -2.7508 2.3640 1.7192 5.2007 3.7823 3.7823 2.7508 Ke = 1.0e+004 * Columns 1 through 4 1.0745 -2.3640 1.7192 -1.0745 -2.3640 5.2007 -3.7823 2.3640 1.7192 -3.7823 2.7508 -1.7192 -1.0745 2.3640 -1.7192 1.0745 2.3640 -5.2007 3.7823 -2.3640 -1.7192 3.7823 -2.7508 1.7192 Columns 5 through 6 2.3640 -1.7192 -5.2007 3.7823 3.7823 -2.7508 -2.3640 1.7192 5.2007 -3.7823 -3.7823 2.7508 Ke = 1.0e+004 * Columns 1 through 4 1.0745 -2.3640 -1.7192 -1.0745 -2.3640 5.2007 3.7823 2.3640 -1.7192 3.7823 2.7508 1.7192 -1.0745 2.3640 1.7192 1.0745 2.3640 -5.2007 -3.7823 -2.3640 1.7192 -3.7823 -2.7508 -1.7192 Columns 5 through 6 2.3640 1.7192 -5.2007 -3.7823 -3.7823 -2.7508 -2.3640 -1.7192 5.2007 3.7823 3.7823 2.7508 Ke = 1.0e+004 * Columns 1 through 4 1.0745 2.3640 -1.7192 -1.0745 2.3640 5.2007 -3.7823 -2.3640 -1.7192 -3.7823 2.7508 1.7192 -1.0745 -2.3640 1.7192 1.0745 -2.3640 -5.2007 3.7823 2.3640 1.7192 3.7823 -2.7508 -1.7192 Columns 5 through 6 -2.3640 1.7192 -5.2007 3.7823 3.7823 -2.7508 2.3640 -1.7192 5.2007 -3.7823 -3.7823 2.7508 Ke = 1.0e+004 * Columns 1 through 4 5.2007 -2.3640 3.7823 -5.2007 -2.3640 1.0745 -1.7192 2.3640 3.7823 -1.7192 2.7508 -3.7823 -5.2007 2.3640 -3.7823 5.2007 2.3640 -1.0745 1.7192 -2.3640 -3.7823 1.7192 -2.7508 3.7823 Columns 5 through 6 2.3640 -3.7823 -1.0745 1.7192 1.7192 -2.7508 -2.3640 3.7823 1.0745 -1.7192 -1.7192 2.7508 Ke = 1.0e+004 * Columns 1 through 4 5.2007 2.3640 -3.7823 -5.2007 2.3640 1.0745 -1.7192 -2.3640 -3.7823 -1.7192 2.7508 3.7823 -5.2007 -2.3640 3.7823 5.2007 -2.3640 -1.0745 1.7192 2.3640 3.7823 1.7192 -2.7508 -3.7823 Columns 5 through 6 -2.3640 3.7823 -1.0745 1.7192 1.7192 -2.7508 2.3640 -3.7823 1.0745 -1.7192 -1.7192 2.7508 Ke = 1.0e+004 * Columns 1 through 4 5.2007 2.3640 3.7823 -5.2007 2.3640 1.0745 1.7192 -2.3640 3.7823 1.7192 2.7508 -3.7823 -5.2007 -2.3640 -3.7823 5.2007 -2.3640 -1.0745 -1.7192 2.3640 -3.7823 -1.7192 -2.7508 3.7823 Columns 5 through 6 -2.3640 -3.7823 -1.0745 -1.7192 -1.7192 -2.7508 2.3640 3.7823 1.0745 1.7192 1.7192 2.7508 Ke = 1.0e+004 * Columns 1 through 4 5.2007 -2.3640 -3.7823 -5.2007 -2.3640 1.0745 1.7192 2.3640 -3.7823 1.7192 2.7508 3.7823 -5.2007 2.3640 3.7823 5.2007 2.3640 -1.0745 -1.7192 -2.3640 3.7823 -1.7192 -2.7508 -3.7823 Columns 5 through 6 2.3640 3.7823 -1.0745 -1.7192 -1.7192 -2.7508 -2.3640 -3.7823 1.0745 1.7192 1.7192 2.7508 Ke = 1.0e+004 * Columns 1 through 4 2.6865 2.6865 4.2984 -2.6865 2.6865 2.6865 4.2984 -2.6865 4.2984 4.2984 6.8775 -4.2984 -2.6865 -2.6865 -4.2984 2.6865 -2.6865 -2.6865 -4.2984 2.6865 -4.2984 -4.2984 -6.8775 4.2984 Columns 5 through 6 -2.6865 -4.2984 -2.6865 -4.2984 -4.2984 -6.8775 2.6865 4.2984 2.6865 4.2984 4.2984 6.8775 Ke = 1.0e+004 * Columns 1 through 4 2.6865 -2.6865 4.2984 -2.6865 -2.6865 2.6865 -4.2984 2.6865 4.2984 -4.2984 6.8775 -4.2984 -2.6865 2.6865 -4.2984 2.6865 2.6865 -2.6865 4.2984 -2.6865 -4.2984 4.2984 -6.8775 4.2984 Columns 5 through 6 2.6865 -4.2984 -2.6865 4.2984 4.2984 -6.8775 -2.6865 4.2984 2.6865 -4.2984 -4.2984 6.8775 Ke = 1.0e+004 * Columns 1 through 4 2.6865 2.6865 -4.2984 -2.6865 2.6865 2.6865 -4.2984 -2.6865 -4.2984 -4.2984 6.8775 4.2984 -2.6865 -2.6865 4.2984 2.6865 -2.6865 -2.6865 4.2984 2.6865 4.2984 4.2984 -6.8775 -4.2984 Columns 5 through 6 -2.6865 4.2984 -2.6865 4.2984 4.2984 -6.8775 2.6865 -4.2984 2.6865 -4.2984 -4.2984 6.8775 Ke = 1.0e+004 * Columns 1 through 4 2.6865 -2.6865 -4.2984 -2.6865 -2.6865 2.6865 4.2984 2.6865 -4.2984 4.2984 6.8775 4.2984 -2.6865 2.6865 4.2984 2.6865 2.6865 -2.6865 -4.2984 -2.6865 4.2984 -4.2984 -6.8775 -4.2984 Columns 5 through 6 2.6865 4.2984 -2.6865 -4.2984 -4.2984 -6.8775 -2.6865 -4.2984 2.6865 4.2984 4.2984 6.8775
Problem 5
[edit | edit source]On our honor, we did this assignment on our own, without looking at the solutions in previous semesters or other online solutions.
Find
[edit | edit source]Vibration analysis of 3-D truss system in R6.4
Given
[edit | edit source]Solution
[edit | edit source]clear clc E=3*10^7; A=0.0218; rho= 7.3*10^(-4); Edof=[1 1 2 3 4 5 6; 2 1 2 3 10 11 12 ; 3 4 5 6 7 8 9; 4 1 2 3 13 14 15; 5 4 5 6 16 17 18; 6 4 5 6 10 11 12; 7 4 5 6 13 14 15; 8 1 2 3 7 8 9; 9 1 2 3 16 17 18; 10 7 8 9 16 17 18; 11 10 11 12 13 14 15; 12 7 8 9 10 11 12; 13 13 14 15 16 17 18; 14 7 8 9 28 29 30; 15 16 17 18 19 20 21; 16 10 11 12 25 26 27; 17 13 14 15 22 23 24; 18 10 11 12 19 20 21; 19 7 8 9 22 23 24; 20 13 14 15 28 29 30; 21 16 17 18 25 26 27; 22 16 17 18 28 29 30; 23 7 8 9 19 20 21; 24 10 11 12 22 23 24; 25 13 14 15 25 26 27]; coord=[-1.5 0 8; 1.5 0 8; -1.5 1.5 4; 1.5 1.5 4; 1.5 -1.5 4; -1.5 -1.5 4; -4 4 0; 4 4 0; 4 -4 0; -4 -4 0]; ex=zeros(25,2); ey=zeros(25,2); ez=zeros(25,2); for i=1:25 ex(i,1)=coord((Edof(i,2)+2)/3,1); ex(i,2)=coord((Edof(i,5)+2)/3,1); ey(i,1)=coord((Edof(i,3)+1)/3,2); ey(i,2)=coord((Edof(i,6)+1)/3,2); ez(i,1)=coord(Edof(i,4)/3,3); ez(i,2)=coord(Edof(i,7)/3,3); end K=zeros(75,75); M=zeros(75); for i=1:25 dx=ex(i,2)-ex(i,1) ; dy= ey(i,2)-ey(i,1); dz=ez(i,2)-ez(i,1) ; L=sqrt(dx^2+dy^2+dz^2); Kle=E*A/L*[1 -1; -1 1]; l=dx/L; m=dy/L; n=dz/L; G=[l m n 0 0 0; 0 0 0 l m n]; mass=L*A*rho; me=[mass/2 0 0 0 0 0; 0 mass/2 0 0 0 0; 0 0 mass/2 0 0 0; 0 0 0 mass/2 0 0; 0 0 0 0 mass/2 0; 0 0 0 0 0 mass/2]; Ke=G'*Kle*G; S=Edof(i,2:7); K(S,S)=K(S,S)+Ke; M(S,S)=M(S,S)+me; end nd=size(K,1); fdof=[1:nd]'; bc=[25 26 22 24 19 21 28 30 ]'; fdof(bc(:))=[]; [X,D]=eig(K(fdof,fdof),M(fdof,fdof)); nfdof=size(X,1); eigenval=diag(D); eigenvec=zeros(nd,nfdof); eigenvec(fdof,:)=X; %top for kk=1:3 eigenvalx=eigenval(kk); eigenvecx=eigenvec(:,kk); w=sqrt(eigenvalx); T=2*pi/w; dt=T/100; t=0:dt:T; figure(kk) if kk==1; filename = 'mode1_top.gif'; elseif kk==2; filename = 'mode2_top.gif'; elseif kk==3; filename = 'mode3_top.gif'; end for jj = 1:100 tt=t(jj); d=eigenvecx*sin(w*tt); d=d'; rr=Edof(:,2:7); ed=zeros(25,6); for i=1:25; ed(i,1:6)=d(rr(i,:)); end xd=(ex+ed(:,[1 4]))'; yd=(ey+ed(:,[2 5]))'; zd=(ez+ed(:,[3 6]))'; s1=['-' , 'k']; axis manual plot(xd,zd,s1) set(gca, 'ylim', [-12 12], 'xlim', [-12 12]); drawnow frame = getframe(1); im = frame2im(frame); [imind,cm] = rgb2ind(im,256); if jj == 1; imwrite(imind,cm,filename,'gif', 'Loopcount',inf); else imwrite(imind,cm,filename,'gif','WriteMode','append'); end end end %side for kk=1:3 eigenvalx=eigenval(kk); eigenvecx=eigenvec(:,kk) w=sqrt(eigenvalx) T=2*pi/w; dt=T/100 t=0:dt:T; figure(kk) if kk==1; filename = 'mode1_side.gif' elseif kk==2; filename = 'mode2_side.gif' elseif kk==3; filename = 'mode3_side.gif' end for jj = 1:100 tt=t(jj); d=eigenvecx*sin(w*tt); d=d'; rr=Edof(:,2:7); ed=zeros(25,6); for i=1:25; ed(i,1:6)=d(rr(i,:)); end xd=(ex+ed(:,[1 4]))'; yd=(ey+ed(:,[2 5]))'; zd=(ez+ed(:,[3 6]))'; s1=['-' , 'k']; axis manual plot(xd,yd,s1) set(gca, 'ylim', [-12 12], 'xlim', [-12 12]); drawnow frame = getframe(1); im = frame2im(frame); [imind,cm] = rgb2ind(im,256); if jj == 1; imwrite(imind,cm,filename,'gif', 'Loopcount',inf); else imwrite(imind,cm,filename,'gif','WriteMode','append'); end end end
References
[edit | edit source]Contributing Team Members
[edit | edit source]Problem Assignments | ||
---|---|---|
Problem # | Solved & Typed by | Reviewed by |
1 | Zeyn Kermani | All |
2 | Matthew Gidel | All |
3 | Joshua Plicque | All |
4 | Brandon Wright,Spencer Herran | All |
5 | Kelvin Li,Matthew Gidel | All |
On our honor, we did this assignment on our own, without looking at the solutions in previous semesters or other online solutions.