Minh Nguyen-Hoang, Wilfried Becker
Bolted joints are a common mean to connect safety critical parts in the aeronautical industry and therefore require precise stress analysis, which can take place analytically enabling cost-efficient computation. Connections with an even number of plates and a symmetrical setup with respect to the midplane can be modelled as a plate under in-plane loading. The complexity further reduces to a pure plane problem if there is no bending extension coupling. The flux of forces is directed from the bolt towards the clamp, which are both located at finite boundaries. Therefore modelling must be performed within a finite domain. If the material is isotropic this plane boundary value problem can be solved by means of the Airy stress function, which is the focus of the present paper. The geometry is chosen in such a way that additional stress concentrations faded away. At first a solution for the infinite dimensions bolted joint is derived, which is then mirrored in order to cancel stresses in load direction at the straight edges of the finite joint. Thus the load is physically transferred and characteristic field quantities are accurately modelled providing an efficient tool for 2D stress analysis and subsequent net tension failure assessment.
Pin-loaded hole, Airy stress function, Finite dimensions
Cite this paper
Minh Nguyen-Hoang, Wilfried Becker. (2018) Efficient 2D Stress Analysis of an Isotropic Bolted Joint Connection with Finite Dimensions using the Airy Stress Function. International Journal of Theoretical and Applied Mechanics, 3, 107-114