1. (AA540 only. AA430 can do it for extra points) Below is a 3-node bar element....

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1. (AA540 only. AA430 can do it for extra points) Below is a 3-node bar element. U1 u(x) 2 3 X U3 L The displacement or shape functions of this element are: 8.(x)-2(x-1)(x-2) 12(x) = x(L-x) x-(x-4) Plot the foregoing displacement functions in [0,4] in one graph, assuming L=10 m Using your notes as a reference, plot the displacement field u(x) within the element assuming the displacements at nodes are u=1/100 m, U2=1/200 m and 43=3/400 m. Calculate and plot the axial strain & in the bar element Assuming E = 206000MPa, calculate the stress in node 2 1. (AA540 only. AA430 can do it for extra points) Below is a 3-node bar element. U1 u(x) 2 3 X U3 L The displacement or shape functions of this element are: 8.(x)-2(x-1)(x-2) 12(x) = x(L-x) x-(x-4) Plot the foregoing displacement functions in [0,4] in one graph, assuming L=10 m Using your notes as a reference, plot the displacement field u(x) within the element assuming the displacements at nodes are u=1/100 m, U2=1/200 m and 43=3/400 m. Calculate and plot the axial strain & in the bar element Assuming E = 206000MPa, calculate the stress in node 2