Electronic chip packages are comprised of several components with different material properties and geometries. One of the most basic electronic packages is the tri-assembly system consisting of a chip attached to a board by a solder connection. During the fabrication of this simple unit, the soldering process subjects the device to a thermal field. Since the three components of the device have different material properties, in particular their Young's modulii, Poissons ratios, and thermal coefficients of expansion, the mismatch in these properties result in thermoelastic stresses. In addition to the thermal field arising from fabrication, thermal fields and hence thermoelastic stresses, result from the operation of the device itself. An investigation of stresses was undertaken. Two types of solder joints, a leaded device and an unleaded device, were compared for effectiveness. Procedures are shown for the analyses of these two types of solder joints. The analyses showed that the thermoelastic stresses for the stiff unleaded connection are significantly greater, by a factor of 20 for the particular arrangement studied in this report, than the stresses in the more flexible leaded connection.