Abstract

The Yield line method is widely used for the analysis and design of reinforced, concrete slabs. The method here described relies on three parameters - the Geometry of the plate, the length of Yield lines & the orientation of the Yield lines. Here the governing equation is broken into integrable parts such that the internal work is taken as the sum of all Yield lines including the negative Yield lines multiplied by (2 + number of nodal moments) and the average moment (ḿ). The external work is taken as the product of the load and the sum of the volume of each integral part with the deflection taken as the length of the positive Yield lines at the segment. The solution for the average bending moment over the Yield lines reduces the solution of plates to simple geometry. Results from the method compares to those of the work method and equilibrium method.

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