## A first course in finite element analysis |

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applied axially loaded axisymmetric based on Eq beam element boundary conditions calculated CALL Chapter Cholesky decomposition coefficients computer program cross section DATA derive diagonal DIMENSION displacement vector distributed load EIGENVALUE element stiffness matrix entries example Figure finite element analysis finite element method force vector formulation FORTRAN Gauss elimination global coordinate system GOSUB GOTO GRAPHICS TABLET heat conduction INPUT isoparametric element iterative ith element nodal coordinates nodal displacement node numbers O.OOOE+OO O.OOOOOE+00 O.OOOOOE+OO O.OOOOOE+00 O.OOOOOE+OO O.OOOOOE+OO O.OOOOOE+OO obtain OOOE+00 partitioning pattern plane plane-stress and plane-strain PLOT postprocessing preprocessing PRINT JENTER program EX respectively RETURN END SUBROUTINE ROTATION semibandwidth shaft shape function shear shear stress shell shown in Fig solution solving stiffness equations stiffness matrix equation strain vector structure stiffness matrix substructure tetrahedral element three-dimensional Tl=l TO Nl triangular elements truss two-dimensional WRITE x-axis Y. C. Pao Young's modulus