Restraint Stresses and Strains due to Slit Weld in Rectangular Plate (Report I) : Formulae for Conventional Restraint Intensities of a Slit in Finite Plate

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Conventional restraint intensities of a slit in a rectangular plate were calculated, under two loading conditions ; a uniform dislocation along the slit and uniformly distributed loads along the slit. The calculation was carried out by superposition of the analytical solution for an infinite plate and the correction by the finite element method to a rectangular plate. Furthermore, very accurate formulae for the restraint intensities were derived. The following conclusions were obtained: For a specimen having the ratios of L/l≥1.5 and B/l≥1.8 (L, B and l are the length, the breadth of the specimen and the length of the slit, respectively.). (1) The restraint intensities can be easily obtained by the following equations. [numerical formula] (uniform dislocation) [numerical formula] (uniformly distributed loads) where β_δ(x)=[1-(2x/l)^2]β_<δo>, β_<δo>=β_δ(x=0) β_<δo>=2β_p β_p=0.6/(L/l)^n+0.75/(B/l)^<1.82>, n=5.8/(B/l)^2+2.2 So, there is a clear relation between the two restraint intensities as shown in the following explicit form ; [numerical formula] (2) Dependencies of the restraint intensities on L/l and B/l are made clear and convergencies of the intensities to limiting values are studied. (3) Effect of the ratio of throat thickness to plate thickness upon the restraint intensities is taken into account and a simple formula is derived.
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