Electro-hydraulic　shaking　table　is　an　essential　experimental　apparatus　to　evaluate　structural　performance　under　actual　vibration　condition.　The　control-structure　interaction　(CSI)　between　shaking　table　and　eccentric　load　has　lately　received　considerable　attention　for　causing　the　accuracy　degradation　of　shaking　table　test.　At　present,　the　research　gap　of　the　influence　of　the　eccentricity　of　load　on　the　CSI　makes　it　challenging　to　find　the　CSI　effects.　And　an　effect　assessment　is　yet　to　be　proposed　to　evaluate　the　CSI　effects,　which　has　impeded　the　development　of　test　technology.　To　overcome　those　theoretical　bottlenecks,　in　this　research,　an　analytical　transfer　function　matrix　of　shaking　table　and　eccentric　load　is　established　to　analyze　the　CSI　effects.　The　analysis　is　conducted　under　such　conditions　as　different　mass　ratio　(MR),　moment　of　inertia　ratio　(IR),　and　eccentric　distance　ratio　(ER)　conditions.　Through　the　analysis,　the　role　of　the　ER　is　identified,　the　sensitivities　of　the　MR,　IR,　and　ER　to　the　transfer　function　matrix　are　revealed,　and　the　CSI　effects　are　found.　Furthermore,　a　novelty　effect　assessment　is　proposed　to　appraise　whether　the　CSI　effects　can　be　ignored　in　shaking　table　test.　And　the　visualization　expression　of　the　effect　assessment　is　obtained　for　convenient　application.