Plane Frameworks of Tapering Box and I-Section

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Abstract
The formulation of the bending and axial stiffness matrices for beams of tapering box and I-section using the solutions of the governing differential equations is presented for sections whose flanges and webs may be considered to be either thin or thick. The matrices were incorporated into a computer program for the accurate linear elastic analysis of plane structures that include such elements and which are subjected to both point and distributed loads. The accuracy of the elements is verified by comparison with a number of convergent solutions. The matrices are then used to analyse two practical structures, i.e., a pitched portal frame of tapering thin I-sections, and a bridge structure of both tapering thick box beams and tapering rectangular solid sections.

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