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Reinforced Sheets for Load Envelopes Which Combine Tension and Shear

Published online by Cambridge University Press:  07 June 2016

G. Z. Harris*
Affiliation:
Structures Department, Royal Aircraft Establishment, Farnborough
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Summary

An exact analysis is made of reinforced sheets having three fibre directions using netting analysis. Load envelopes of shear combined with both uniaxial and biaxial tension are assumed and optimum fibre arrangements are determined on the assumption that limits exist on the compressive and tensile forces which may be developed in a fibre. Such optimum fibre arrangements are compared with the best-arranged isotropic reinforced sheets and with hypothetical solid sheets having the same properties as the fibres. Elastic constants are derived for the optimum systems. The total allowable load envelopes of the optimum arrangements are found and are related to the prescribed load envelopes.

Type
Research Article
Copyright
Copyright © Royal Aeronautical Society. 1967

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References

1. Cox, H. L. The elasticity and strength of paper and other fibrous materials. British Journal of Applied Physics, Vol, 3 p. 72,1952.CrossRefGoogle Scholar
2. Darwell, H. M. and Hughes, G. The application of filament winding to the manufacture of rocket motor-cases. British Plastics Federation; Proceedings of the 3rd International Reinforced Plastics Conference, Section 29, 1962.Google Scholar
3. Schulz, J. C. Netting analysis of filament-wound pressure vessels. American Society of Mechanical Engineers, Paper No. 63-WA-223, 1963.Google Scholar
4. Jackson, P. W. and Cratchley, D. The effect of fibre-orientation on the tensile strength of fibre-reinforced metals. Journal of the Mechanics and Physics of Solids, Vol. 14 p. 49, 1966.Google Scholar
5. Cox, H. L. The design of structures of least weight. Pergamon Press, London, 1965.Google Scholar
6. Schmidt, L. C. Minimum weight layouts of elastic, statically determinate triangulated frames under alternative load systems. Journal of the Mechanics and Physics of Solids, Vol. 10 p. 139, 1962.Google Scholar
7. Hill, R. The mathematical theory of plasticity. Oxford University Press, 1950.Google Scholar
8. Porter, M. C. The effect of filament geometry on reinforced composite strength. American Institute of Aeronautics and Astronautics, Paper No. 66-142, presented at the 3rd AIAA Aerospace Sciences meeting, January 1966.Google Scholar
9. Powell, M. J. D. An efficient method for finding the minimum of a function of several variables without calculating derivatives. Computer Journal, Vol. 7, No. 2 p. 155, 1964.Google Scholar