Computer program like ETABS, SAP2000 can be adopted to estimate the slab/ beam acceleration under such load. The procedure is outlined as follow (using ETABS as an example):
(1) Obtain the function of the periodic load from relevant code, like BS5400, PRC codes, etc;
(2) Define load case for the periodic load;
(3) Define Time History Function (say Sine Function) for the periodic load. Usually the amplitude for the function is taken as 1 for easy reference;
(4) Define Time History Case Data, with scale factor same as the amplitude stipulated in relevant codes. The load case (under item 2 above) shall be selected;
(5) Add loading on the floor elements under the load case in item 2 (Usually taken as 1 for easy reference);
(6) Carry out the modal analysis (with mass defined);
(7) After analysis, click "Display" -> "Show Time History Traces";
(8) Select the following:
"Define Function..." -> Select the Joint concerned -> Click "Modify/Show TH Function"->Vector Type "Accel" -> Component "UZ";
The result is displayed as follow:
The acceleration shall then check against the code requirement.
