In ETABS non uniform loads can be assigned to shell elements via Assign>shell Loads>non uniform.
This option allows the user to assign non uniform loads in any direction based on coordinates in the global coordinate system. As an example below, assume we want to assign a triangular load to a 24 ft. long and 12ft high wall and located in the X-Z plane. The load will have magnitude of 1000lb/ft. at the base and zero at top of the wall.
The values for A, and B are zero since the load will not change in the X or Y directions. The equations to solve are:
Cz+D=1000 at z=0 ft
Cz+D=0 at z=12 ft
Solving the system above: D=1000 and C=-83.33
After running the analysis, we can check reactions using basic statics to make sure the load has been correctly applied.
Total load = 1000*24*12/2=144000lbs or 144kips,
Reaction at top of the wall =144*4/12=48 kips or 24 kips at each support
Reaction at bottom of the wall=144*8/12= 96 kips or 48kips at each support
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