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FEA Truss structure has 29 elements and 15 nodes. All angles are either 45 or 90. Trusses 1-8 are made of aluminum and the rest
FEA Truss structure has 29 elements and 15 nodes. All angles are either 45 or 90. Trusses 1-8 are made of aluminum and the rest of steel. Cross section is hollow T-shape and Youngs modulus of aluminum is 80 GPa for aluminum and 210 GPa for steel, Load of 2000N is connected at nodes 12, 13, 14, 15. The element properties matrix has everything about elemental stiffness matrices. Write MATLAB function that takes input [E] mentioned below and returns matrix [K(e] which is 4 x 4 x N where N 29 for element number. The K(e) entry is elemental stiffness matrix of ith element 19 20 mm 18 12 20 5 16 5 mm 40 mm 21 15 E (28 24 14 14 13 10 13 20 mm 29 80 mm 4 [m] % Angle Theta! = 45; Theta2 = 90; Theta3 = 180; Theta4 = 135; % Length Cross-sectional Area A-(1350 10-3) % Young's Modulus Ealuminum = (8*10^10); Esteel(2.1*10 1 1)i % [E] = [A, L, Theta, E] [E] = [ A, L, Theta2, Esteel A, L, Theta2, Esteel; A, L, Theta2, Esteel; A, L, Theta3, Esteel; A, L, Theta4, Esteel; A, L, Theta3, Esteel; A, L, Theta4, Esteel; A, L, Theta3, Esteel; A, L, Theta4, Ealuminum; A, L, Theta3, Ealuminum; A, L, Theta3, Ealuminum; A, L, Theta2, Ealuminum; A, L, Theta4, Ealuminum; A, L, Theta3, Ealuminum; A, L, Theta2, Ealuminum; A, L, Theta4, Ealuminum; A, L, Theta3, Ealuminum; A, L, Theta2, Ealuminum; A, L, Theta4, Ealuminum; A, L, Theta3, Ealuminum; A, L, Theta2, Ealuminum; A, L, Theta4, Ealuminum; A, L, Theta3, Ealuminum; A, L, Theta2, Ealuminum; A, L, Theta3, Ealuminum; A, L, Theta4, Ealuminum; A, L, Theta3, Ealuminum; A, L, Theta2, Ealuminum; A, L, Theta2, Ealuminum;; FEA Truss structure has 29 elements and 15 nodes. All angles are either 45 or 90. Trusses 1-8 are made of aluminum and the rest of steel. Cross section is hollow T-shape and Youngs modulus of aluminum is 80 GPa for aluminum and 210 GPa for steel, Load of 2000N is connected at nodes 12, 13, 14, 15. The element properties matrix has everything about elemental stiffness matrices. Write MATLAB function that takes input [E] mentioned below and returns matrix [K(e] which is 4 x 4 x N where N 29 for element number. The K(e) entry is elemental stiffness matrix of ith element 19 20 mm 18 12 20 5 16 5 mm 40 mm 21 15 E (28 24 14 14 13 10 13 20 mm 29 80 mm 4 [m] % Angle Theta! = 45; Theta2 = 90; Theta3 = 180; Theta4 = 135; % Length Cross-sectional Area A-(1350 10-3) % Young's Modulus Ealuminum = (8*10^10); Esteel(2.1*10 1 1)i % [E] = [A, L, Theta, E] [E] = [ A, L, Theta2, Esteel A, L, Theta2, Esteel; A, L, Theta2, Esteel; A, L, Theta3, Esteel; A, L, Theta4, Esteel; A, L, Theta3, Esteel; A, L, Theta4, Esteel; A, L, Theta3, Esteel; A, L, Theta4, Ealuminum; A, L, Theta3, Ealuminum; A, L, Theta3, Ealuminum; A, L, Theta2, Ealuminum; A, L, Theta4, Ealuminum; A, L, Theta3, Ealuminum; A, L, Theta2, Ealuminum; A, L, Theta4, Ealuminum; A, L, Theta3, Ealuminum; A, L, Theta2, Ealuminum; A, L, Theta4, Ealuminum; A, L, Theta3, Ealuminum; A, L, Theta2, Ealuminum; A, L, Theta4, Ealuminum; A, L, Theta3, Ealuminum; A, L, Theta2, Ealuminum; A, L, Theta3, Ealuminum; A, L, Theta4, Ealuminum; A, L, Theta3, Ealuminum; A, L, Theta2, Ealuminum; A, L, Theta2, Ealuminum
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