Moment distribution around polygonal holes in infinite plate

• The paper describes moment distribution around polygonal hole in infinite isotropic plate subjected to bending/twisting moment at infinity.
• The complex variable approach is adopted to study moment distribution around holes.
• The effect of hole geometry and loading pattern on moment distribution is studied.

General solutions for determining the moment distribution around polygonal holes in infinite isotropic plate subjected to bending/twisting moment at infinity are obtained using Muskhelishvili's complex variable method. The conformal mapping and biaxial loading factor is introduced to take care hole geometry and loading conditions.The generalized formulation thus obtained is coded and numerical results are obtained for triangular, square, pentagonal, hexagonal, heptagonal and octagonal cut-outs. The effect of hole geometry and loading pattern on moment distribution is studied.