Page 352 - Thomson, William Tyrrell-Theory of Vibration with Applications-Taylor _ Francis (2010)
P. 352

Chap. 10   Problems                                            339










                                                                     Figure PlO-11.


                                  reaction  forces at pins  1,  2,  and 3,  and check to see whether equilibrium is satisfied.
                                  Formulate the stiffness matrix with factor EA//   by the finite element method.
                              10-12  For the pinned  square truss of Fig.  PlO-12,  determine  the  element  stiffness matrices
                                  in  global  coordinates  and  indicate  how  they  are  assembled  for  the  entire  structure.

















                              10-13  For the pinned truss of Fig. PlO-13, there are just three orientations of the elements.
                                   Determine  the  stiffness  matrix  for  each  orientation  and  indicate  how  each  element
                                  matrix is  assembled  in  the global system.













                                                                     Figure PlO-13.


                              10-14  Using  two  elements,  determine  the  deflection  and  slope  at  midspan  of  a  uniform
                                  beam, fixed  at both  ends, when  loaded  as shown  in  Fig.  PlO-14.
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