Transverse opening in a beam has a reducing effect of the beam stiffness which will cause a significant\nincrease in beam deflection in the region on the opening. In this paper, a new stiffness\nmatrix for a beam element with transverse opening including the effect of shear deformation has\nbeen derived. The strain energy principle is used in the derivation process of the stiffness matrix\nand the fixed-end force vector for the case of a concentrated or a uniformly distributed load is also\nderived. The accuracy of the obtained results based on the derived stiffness matrix is examined\nthrough comparison with that of the finite element method using Abaqus package and a previous\nstudy which show a good agreement with high accuracy.
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