الفهرس 
Summary
Numerical solutionOnly 14 pages are availabe for public view
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Abstract
In some machine farces the stresses and displacements may be obtained for design purpose from a two – dimensional analysis. Typical cases are farces loaded in their plan of symmetry with no body forces. According to their function theses frames are either open frames, which are simply –connected bodies, or closed frames which are multiply – connected bodies.
For the solution of theses frames under elastic conditions there exist well established theoretical and experimental methods. The theatrical methods are valied under certain assumptions but usually difficulties are involved in satisfying boundary conditions. For experimental analysis photo elasticity is the most suitable to obtain an overall stress pattern but requires careful preparation and loading for the model to obtain reliable results.
A general method of analysis is developed in this work based on the following:
1- For simply – connected frames a purely numerical solution using the finite differences method through a computer program is adopted.
2- For multiply – connected frames an is chromatic fringe provide a complete solution.
The method has been applied to same machine frames for which theoretical solutions are already known; namely simply supported beam with centrally concentrated load, a c- type frame, a straight –sided frame at different depth ratios and a circular ring at different diameter ratios. Results indicated satis- factory agreement except at zones of load application where the method is limited by the mosh size determined by computer storage capacity. For certain simply connected frames the simple beam analysis is acceptable at section remote from the loading zones.
An investigation into matrix solutions using the finite element method is proposed for future work.