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Civil-Comp Proceedings
ISSN 1759-3433
CCP: 2/3
PROCEEDINGS OF THE SECOND INTERNATIONAL CONFERENCE ON CIVIL AND STRUCTURAL ENGINEERING COMPUTING
Edited by: B.H.V. Topping
Paper XV.1

A Unified Approach to the Static, Buckling and Vibration Analysis and Design of Structures with Collinear Nodes using Micro-Computers

W.P. Howson and F.W. Williams

Department of Civil Engineering and Building Technology, Cardiff University of Wales Institute of Science and Technology

Full Bibliographic Reference for this paper
W.P. Howson, F.W. Williams, "A Unified Approach to the Static, Buckling and Vibration Analysis and Design of Structures with Collinear Nodes using Micro-Computers", in B.H.V. Topping, (Editor), "Proceedings of the Second International Conference on Civil and Structural Engineering Computing", Civil-Comp Press, Edinburgh, UK, pp 1-8, 1985. doi:10.4203/ccp.2.15.1
Abstract
A unified theory is presented which enables classical (exact) solutions to be obtained for a range of analysis and design problems involving structures which can be idealised as a chain of collinear members. A BASIC computer program which implements the theory is described.

The analytical options cover static response, forced harmonic response, and the determination of natural frequencies or elastic critical buckling loads together with their corresponding mode shapes. Solutions are obtained via the stiffness technique using member equations which enable the effects of axial force, rotary inertia and shear deflection to be considered in any appropriate combination. Lumped inertias and/or spring supports can be applied at any nodal freedom of the structure. For eigenvalue calculations an existing algorithm is used to ensure that the required natural frequencies or critical load factors are found with certainty, while the corresponding mode shapes are determined using an established technique which offers improved accuracy over more conventional methods.

Corresponding design options are also included which enable the datum structure, or parts thereof, to be modified systematically to obtain a structure which satisfies prescribed constraints.

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