Forthestabilityrequirementofnumericalresultants,themathematicaltheoryofclassicalmixedmethodsarerelativelycomplex.However,generalizedmixedmethodsareautomaticallystable,andtheirbuildingprocessissimpleandstraightforward.Inthispaper,basedontheseminalideaofthegeneralizedmixedmethods,asimple,stable,andhighlyaccurate8-nodenoncompatiblesymplecticelement(NCSE8)wasdevelopedbythecombinationofthemodifiedHellinger-Reissnermixedvariationalprincipleandtheminimumenergyprinciple.Toensuretheaccuracyofin-planestressresults,asimultaneousequationapproachwasalsosuggested.NumericalexperimentationshowsthattheaccuracyofstressresultsofNCSE8arenearlythesameasthatofdisplacementmethods,andtheyareingoodagreementwiththeexactsolutionswhenthemeshisrelativelyfine.NCSE8hasadvantagesoftheclearingconcept,easycalculationbyafiniteelementcomputerprogram,higheraccuracyandwideapplicabilityforvariouslinearelasticitycompressibleandnearlyincompressiblematerialproblems.ItispossiblethatNCSE8becomesevenmoreadvantageousforthefractureproblemsduetoitsbetteraccuracyofstresses.