Calculate the stiffness matrix and loading vector for the axisymmetric element shown in Figure 5.19 with heat generation of \(G=1 \mathrm{~W} / \mathrm{cm}^{3}\), the heat transfer coefficient on the side ij is \(1.0 \mathrm{~W} / \mathrm{cm}^{2} \mathrm{~K}\) and the ambient temperature is \(25^{\circ} \mathrm{C}\). The heat flux on the side jk is equal to \(0.5 \mathrm{~W} / \mathrm{cm}^{2}\). Assume the thermal conductivities \(k_{r}=k_{z}=1.5 \mathrm{~W} /{ }^{\circ}{ }^{\circ} \mathrm{C}\) and sike \(k_{j}\) is insulated.

Transcribed Image Text:

q = 0.5 W/cm G = 1 W/cm h = 1W/cm K T = 25C