Page 57 3. A rectangular elastic plate, shown in figure 3. hasil 2e and a height of a. The plate is clamped along both the let and right edges and has a distributed load of Tacting downwards along the top stor. The plate has thickness and is symmetrical about the vertical line. The plate material has a Young's modulus 15.000 and 0.25 Fement des Figure 3a: Geometry and boundary conditions of a rectangular plate. The strain-dieplacement matrix of a triangular element (e) with connectivity OO in which is the area of the element (e) and handen Here, and are the Cartesion coordinates of the node and cando are calculated using cyclic permutation. The elastic models of element(s) for plane stress conditions is given by The element ses mais given as (a) With 120mm - 1mm and T. 200 calculate the nodal displacements for the given conditions. Assume planestres conditions and use symmetry to simply the problem 10 martal Page 6 of 7 (6) Calculate the stresses in each element tel The plate is now supported by two trussesas shown in figure 3. These trusses have a cross sectional are 100 and Young's modulus 50,000 in which is the area of the element (e)and -- anden Here, and are the Cartesian coordinates of the mode jandada are calculated using cyclic permutation. The elastic clement(s) for plane stress conditions is given by 30 The element ses matrix is given as (a) With 120mm imm and T 200 calculate the nodal displacements for the given conditions. Assume planestres conditions and use symmetry to simply the problem 10 mars! Page of Calculate the stresses in each element (c) The plate is now supported by two trusses, as shown in figure 03. These trusses have across sectional are 100 and Young's modulus g) 50,000 Nie nodes Truss element Figure 3: Geometry and boundary conditions of a worted triangular plate The stress of this truss element can be given as Calculate the new daplacement in the supported plate. Use ymmetry to simply the problem (4) Using the answer from questione calculate the magnitude of the reaction force at node 5 3 marks (TOTAL 25 MARKS END OF PAPER Page 57 3. A rectangular elastic plate, shown in figure 3. hasil 2e and a height of a. The plate is clamped along both the let and right edges and has a distributed load of Tacting downwards along the top stor. The plate has thickness and is symmetrical about the vertical line. The plate material has a Young's modulus 15.000 and 0.25 Fement des Figure 3a: Geometry and boundary conditions of a rectangular plate. The strain-dieplacement matrix of a triangular element (e) with connectivity OO in which is the area of the element (e) and handen Here, and are the Cartesion coordinates of the node and cando are calculated using cyclic permutation. The elastic models of element(s) for plane stress conditions is given by The element ses mais given as (a) With 120mm - 1mm and T. 200 calculate the nodal displacements for the given conditions. Assume planestres conditions and use symmetry to simply the problem 10 martal Page 6 of 7 (6) Calculate the stresses in each element tel The plate is now supported by two trussesas shown in figure 3. These trusses have a cross sectional are 100 and Young's modulus 50,000 in which is the area of the element (e)and -- anden Here, and are the Cartesian coordinates of the mode jandada are calculated using cyclic permutation. The elastic clement(s) for plane stress conditions is given by 30 The element ses matrix is given as (a) With 120mm imm and T 200 calculate the nodal displacements for the given conditions. Assume planestres conditions and use symmetry to simply the problem 10 mars! Page of Calculate the stresses in each element (c) The plate is now supported by two trusses, as shown in figure 03. These trusses have across sectional are 100 and Young's modulus g) 50,000 Nie nodes Truss element Figure 3: Geometry and boundary conditions of a worted triangular plate The stress of this truss element can be given as Calculate the new daplacement in the supported plate. Use ymmetry to simply the problem (4) Using the answer from questione calculate the magnitude of the reaction force at node 5 3 marks (TOTAL 25 MARKS END OF PAPER