paper could be applied for castellated columns with other boundary
conditions.
Acknowledgement
The authorswould like to acknowledge Professor AmrM. I. Sweedan
in the Department of Civil and Environmental Engineering at the UAE
University, United Arab Emirates for kindly providing his finite element
analysis data to be used to validate the present analytical solution.
Appendix A. Derivation of the modified shear factor ksh
Consider the unit of length, 6a/√3 of a castellated column, shown in
Fig. A(a). The relative displacement of the top and bottom layers of the
unit due to a pair of shear forces F, shown in Fig. A(b) can be calculated
in terms of Timoshenko beam theory as follows: