Q2 Consider the plate shown in Fig. 1. The plate is modelled using one square bilinear...

 

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Q2 Consider the plate shown in Fig. 1. The plate is modelled using one square bilinear element and one three-noded linear triangular element. The temperature at the five nodes are denoted by T1, T2, T3, T₁ and T5. L/4 L/2 Y (0, L) 4 (0,0) 5(L/2,3L/2) 3L/4 (L, L) 3 >I (L,0) Figure 1: Plate structure. (a) What is the temperature at points A, B, C, D and E? Express your solution in terms of the temperature at the nodes. (b) What is the size of the global conductance matrix? (c) Explain why it is possible to combine bilinear and linear elements as shown in Fig. 1. [13] [2] [4] Q2 Consider the plate shown in Fig. 1. The plate is modelled using one square bilinear element and one three-noded linear triangular element. The temperature at the five nodes are denoted by T1, T2, T3, T₁ and T5. L/4 L/2 Y (0, L) 4 (0,0) 5(L/2,3L/2) 3L/4 (L, L) 3 >I (L,0) Figure 1: Plate structure. (a) What is the temperature at points A, B, C, D and E? Express your solution in terms of the temperature at the nodes. (b) What is the size of the global conductance matrix? (c) Explain why it is possible to combine bilinear and linear elements as shown in Fig. 1. [13] [2] [4]

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To determine the temperature at points A B C D and E we need to understand the interpolation functions of the finite elements We are using bilinear an... View the full answer