p=35

A pressure PMPa is applied on a plate (plane stress) as shown in the figure below. P=(lasttwonon-zerodigitsfromyourstudentID)MPa Please select the last two non-zero digits from your student ID. If your student ID is 20159060 , then P=96MPa. Divide the bar into 4 Q4 elements. Assume E=207GPa,v=0.32. a. Find the element stiffness matrices for all the four Q4 elements with appropriate degrees of freedom (DOF) indicated using isoparametric formulation and Gauss quadrature for element stiffness matrix integration. Provide the Matlab code. [20 marks] b. Assemble and form the global stiffness matrix indicating DOF. [2 marks] c. Form element force vector with DOF indicated using isoparametric formulation and Gauss quadrature for integration. [14 marks] d. Assemble the global force vector with DOF indicated. [2 marks] e. Identify the appropriate boundary conditions and show in the code how you applied it. [2 marks] f. Solve for the unknown displacements. [2 marks] g. Solve for the all the plane stress components in the center ({s,t}={0,0}) of each element of the plate. [8 marks]