Problem 6: FEA of axisymmetric thermal problem Using the Galerkin Weighted Residual method, obtain the finite element formulation for an axisymmetric thermal problem for which the temperature field depends only on the radius > and is described by the equation dT 1dT Q(r) dr + =0. r dr K for a rb where * denotes the (constant) thermal conductivity, Q the distributed heat source and a the radius of the circular domain on which the problem is solved. The boundary conditions involve imposed temperatures at both ends (ra and r=b). Hint: When integrating over the domain (a rb), don't forget that the "elemental surface element" is 2 r dr. Obtain the expression of the local stiffness matrix and local load vector for the generic 2-node "radial thermal" element of length h shown below. r 2