A cantilever beam is partially subjected to a triangularly distributed load. The

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A cantilever beam is partially subjected to a triangularly distributed load. The specific size (length: 2m, height: 1m, thickness: t) is shown in the following graph on the left. The elastic modulus and the Poisson ratio are respectively E and v respectively. Now please adopt the finite element method to solve this plane stress problem. The discretization scheme with the triangular element as well as the node and element numbering is presented in the graph on the right. Please deduce the element strain matrix [B] and the element stress matrix [S] Please deduce the element stiffness matrix [K], and the element nodal load vector {P} for all three elements The shape function N_1 = 1/2 lambda (a_1 + b_1x + c_iy) (I, j, m), a_1 = x_jy_m - x_my_1, b_1 = y_1 - y_m, c_i = -x_i + x_m

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