## Skeletal structures: matrix methods of linear structural analysis using influence coefficients |

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analysis applied loads axial force ball-joint C.S. diagrams column matrix Complementary Solution complete structure Consider deformations degree of statical degrees of freedom denoted discontinuities end-displacements evaluated example flexibility matrix Flexibility Method given gives ground node Hence kinematical indeterminacy lack of fit leading diagonal linear Lower triangular matrix LT)(Row matrix form matrix inversion matrix multiplication ments non-singular matrix number of members number of nodes number of releases O O O obtained particular solution pin-jointed portal frame post-multiplying principal diagonal proceed with computation released structure rH rH rH rigid rotation settlement of supports shear force shown in Fig simultaneous equations SKELETAL STRUCTURES space frame square matrix statical indeterminacy statically determinate statically indeterminate structure stiffness matrix Stiffness Method stress resultant diagrams structure co-ordinates support or lack symmetric symmetric matrix total stress resultants truss unit bi-actions values yield of support yields or lack zero