Bonded structures are commonly made of double containment joints. The common configurations of double containment joints are right angle and T-type with corner supports. In this study, numerical analysis is used to study the joint strength for three types of double containment joints having a circular corner support, a regular right angle support, and a modified right angle support. Steel and aluminum are considered for the joint supports. In general, it was found that the joint strength is nearly the same for joints having steel and aluminum circular cross-section supports. Further strength enhancement was obtained in the case of aluminum regular supports. Furthermore, the dynamic behavior of double containment joints with a circular cross-section was dynamically tested. The dynamic test showed that decreasing the support diameter and increasing the slot depth not only improve the static strength but also the dynamic performance.