Abstract
Let us assume a lap-joint as shown in Fig. 1, and assume that, from the condition of thin plates, the theorem of two dimentional elasticity can be well applied. If we further assume the state of connection as equation( ), …i.e., the force of connection is proportional to the relative displacement between the two plates, …the equation of equilibrium can be expressed only by the amounts of slip between the two plates, and be reduced to the equation (6) or (8), according to the situation of the point of consideration inside or outside the range of connection.
In sections 5 and 6, we reduced the fundamental equations for both long and round joints respectively, for these two might be the typical cases from the engineer's view point. In section 7, solutions for some individual problems are developed. Generally, the connecting force is much concentrated to the edge or surrounding part of the connected zone, except when the connecting rigidity is very small compared with that of the plates.
This feature, in other way, causes the earlier yielding of connection at the surrounding part, and, to some extent, contributes to the equalization of the connecting stresses. But, when the load is released from this condition, the system never recovers its first state; one set of residual stress is induced at its no-load condition, which would have very important meanings for the case of repeated loadings.
