and also draw your flow chart diagram for your coding

Topic: Energy Method for the bending of thin plates Example (exact solution): Consider a rectangular plate with simply supported edges and subjected to a uniformly distributed transverse load of intensity 90. Determine the maximum value of deflection if the deflection is known to have a shape function. Using Python Programming, construct a code using the solution below. sin sin W Solution: Total energy of the plate as summation of internal (strain) energy and potential energy of load is Da'w aw awaw aw U + V = x2 * @ya -2(1 - v) x@y2 wqo drdy Substitute deflection w into the energy equation yield nity U + V [[{3X=[-3-7) *** max -2(1 - V) ab sin 2 MEX ny sin? b mex cos a COS? MEX -90 Am sin sin nry b dx dy a Based on the principle of stationary value a(U+V) D 2A. 2 An 4ab 90 Teamn So that Amunt 1640 TDmn[(m2/a2) + (n2/62))? Gives a deflection of W = 1690 sin(max/a) sin(nny/b) ?m=1,3,5 n=1,3,5 mn[(m2/a?) + (12/62)]? Topic: Energy Method for the bending of thin plates Example (exact solution): Consider a rectangular plate with simply supported edges and subjected to a uniformly distributed transverse load of intensity 90. Determine the maximum value of deflection if the deflection is known to have a shape function. Using Python Programming, construct a code using the solution below. sin sin W Solution: Total energy of the plate as summation of internal (strain) energy and potential energy of load is Da'w aw awaw aw U + V = x2 * @ya -2(1 - v) x@y2 wqo drdy Substitute deflection w into the energy equation yield nity U + V [[{3X=[-3-7) *** max -2(1 - V) ab sin 2 MEX ny sin? b mex cos a COS? MEX -90 Am sin sin nry b dx dy a Based on the principle of stationary value a(U+V) D 2A. 2 An 4ab 90 Teamn So that Amunt 1640 TDmn[(m2/a2) + (n2/62))? Gives a deflection of W = 1690 sin(max/a) sin(nny/b) ?m=1,3,5 n=1,3,5 mn[(m2/a?) + (12/62)]