EXAMPLE 301 Space Frame Element Three displacements and three rotations per node Cross-section symmetric in local member axes Y, MINOR AXIS OF MEMBER CROSS_SECTION IS || TO THE Y-AXIS | * 3, IF THREE NODES GIVEN, THIRD ONE DEFINES LOCAL Y | ELSE, LOCAL Y IS FALLS IN GLOBAL Y, LOCAL X PLANE | |1 2 *------(e)-------* ---> X, MEMBER LENGTH IS ALONG THE X-AXIS / / Z, MAJOR AXIS OF MEMBER CROSS_SECTION IS || TO THE Z-AXIS PROPERTIES: 1 AREA, 2 IX, 3 IY, 4 IZ, 5 ELASTIC MODULUS 6 SHEAR MODULUS, 7 LOAD/LENGTH AT NODE 1, 8 LOAD/LENGTH AT NODE 2 9 THIRD REFERENCE NODE (if used) OPTIONAL: for stress recovery (Default to solid circle A) 10 OUTER RADIUS IF CIRCULAR OR LOCAL Y HEIGHT IF RECTANGULAR 11 LOCAL Z WIDTH IF RECTANGULAR DATA_SET 01 Weaver space frame fig 3-8 p 132, 146-7 Weaver, "Comp Prog f Str Analysis" p 132, 146 DATA_SET 02 Beaufait detail space frame p255-71 Beaufait, et al "Comp Meth Structural Anal" p255-71 The authors give a very detailed hand solution of all matrices DATA_SET 03 M.D. Vanderbilt space frame example F1 Vanderbilt "Matrix Structural Analysis" 1974, Appendix F, 381-4 DATA_SET 04 Beaufait detail plane frame p164-74 Beaufait, et al "Comp Meth Structural Anal" p255-71 DATA_SET 05 Weaver, "Comp Prog for Structural Analysis" p 133, 148-9 space frame A space frame requiring a third node to define orientation DATA_SET 06 Smith Griffths (2nd Ed) Prog the FEM Space frame Ex. 4.4b page137-141 A space frame requiring a third node to define orientation for the third member with a rectangular cross section DATA_SET 07 Fixed Fixed square beam with center load validation. DATA_SET 08 Beaufait detail plane frame p164-74 Beaufait, et al "Comp Meth Structural Anal" p255-71 Tests third node as orientation data. See 301_04. DATA_SET 09 Nash "Strength of Mat" p59 Torsion of two shafts with gear MPC, stress recovery too. No tangential forces used. DATA_SET 10 Nash "Strength of Mat" p59 Torsion of two shafts with gear MPC, stress recovery too. Tangential forces from element reactions used. Huge unreasonable lateral displacements. DATA_SET 11 Nash "Strength of Mat" p59 Torsion of two shafts with gear MPC, stress recovery too. Tangential forces from element reactions used. Bearing supports added 2" from each gear. Reasonable lateral displacements. DATA_SET 12 Nash Torsion + Bending stress check p 279-80 Torsion of circular shaft with forcs and torques. Stress recovery too.