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Partial Difference Equation Problems
Relaxation Methods in Structural Mechanics
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absolute stiffness arch assumed axes axial deformations axial forces boundary conditions buckling characteristic vector coefficients column matrix computed concentrated load defined deflections diagonal diagonal matrix DIMENSION direction discussed in Section displacement method displacement transformation matrix distributed load eigenvalues elastic elements equal example expression external loads factor of safety fixed end moments fixed-point flexibility matrix force method force transformation matrix FORMAT FORTRAN ft-kips function IMAX independent nodal displacements individual member inertia input inverse JMAX joint kips KMAX member deformations member forces members meeting modulus of elasticity nodal forces nodal point nodes numerical integration obtained pin-connected pivotal points primary structure procedure PUNCH READ redundant forces residuals rigid frame rotation shears shown in Fig simply supported Simpson's rule solve span square matrix statically determinate structure statically indeterminate statically indeterminate truss stiffness matrix stresses subprogram SUBROUTINE symmetrical matrix Table unbalanced values variable vibration yn+i zero