A manual method for the elastic analysis of wide cantilever slabs of linearly varying thickness

Abstract

A semi-graphical simplified solution to give results similar to the classical solution to the problem of concentrated loads on elastic cantilever slabs, made of isotropic material, is presented. This method, whose validity is checked by other well established methods of analysis, is expected to provide accurate and quick results to the problems of overhanging slabs of box girders, subjected to concentrated loads.

Investigation of the transverse and longitudinal moments at the transverse free end of deck slab cantilevers subjected to CHBDC truck loading

“…I understand that my thesis may be made electronically available to the public Table 2-1 (Xiao, 1997)) ..................... Figure 2-2: Values of A ′ for various thickness ratio (Adapted from Bakht and Holland, 1976) .... xxiii…”

“…Since, the equation developed by Sawko and Mills (1971) is only restricted for determining the bending moment along the root of the cantilever overhang with uniform thickness, Bakht and Holland (1976) developed a semi-graphical solution based on the assumption of an elastic cantilever overhang with isotropic material. This simplified solution for cantilever slab with concentrated loads presented results similar to classical method; however, it can be applied for calculating moment intensity all over the deck slab overhangs with linearly varying thickness.…”

“…A ′ can be found through graphical charts (Figure 2-2). Bakht (1981) demonstrated that above equation by Bakht and Holland (1976) cannot be applied to the edge-stiffened deck overhangs with finite length. As can be seen on Figure 2-2.…”

“…As can be seen on Figure 2-2. the charts Bakht and Holland (1976) produced is restricted to the variation of A ′ for unstiffened cantilever slabs; nevertheless, Bakht (1981) prepared charts for edge-stiffened cantilever overhangs.…”

“…Figure 2-2: Values of A ′ for various thickness ratio (Adapted from Bakht and Holland, 1976) 2.4 Jaeger and Bakht (1990) Surprisingly, in spite of the fact that the results given by Bakht and Holland (1976) were confirmed by other rigorous methods, such as Finite Element Analysis, the hyperbolic function (cosh) of the previous method was extracted empirically; as a result, Jaeger and Bakht (1990) replaced the relationship by an algebraic function from linear elastic solution which is easier to apply than former expression. In this method, My can be calculated as below:…”