4-Noded Quadrilateral Element Distributed Loading Consider the element shown in real space in the figure below 1) For a 4-noded quadrilateral element, the shape functions may be expressed in terms of a natural coordinate system (n), where all symbols have their usual meanings. Show that these shape functions for the 4-noded quadrilateral element form a proper set. N₁ = (1-5)(1-n) N₁ =(1+)(1-7) N₁ =(1+)(1+1) N₁ = (1-5)(1+77) 2) Consider the distributed loads applied to the 4-noded quadrilateral element shown in Figure 1. Calculate the equivalent nodal forces on the element. (Note loading is normal to the element edges and element thickness is t=1mm) 8 N/mm y (20,40) (50,40) Work out to I ty from (10,20) 6 N/mm co-ordinates (20,10) x Figure 1: Loading on 4-Noded Quad