Abstract
The transmission of force in a body is basically governed by Newton’s laws of conservation of linear and angular momentum. In the static context, with which we are concerned here, these laws amount to the familiar notions of equilibrium of forces and moments. Whereas Newton was primarily concerned with systems of particles, we are concerned with deformable continuous bodies. Consequently, we must introduce an auxiliary concept to model force transmission through the body. The notion of stress, as defined by Cauchy, is fundamental to the mechanics of a continuous body, and provides a natural complement to the concept offeree. Whereas tractions are forces that act on the surface of a body, stress is the measure of the state of force transmission in the interior of the body.
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Additional Reading
Y. C. Fung, Foundations of solid mechanics, Prentice Hall, Englewood Cliffs, NJ, 1965.
M. E. Gurtin, “The linear theory of elasticity,” Mechanics of solids, Vol. II (C. Truesdell, ed.), Springer-Verlag, New York, 1972.
L. E. Malvern, Introduction to the mechanics of a continuous medium, Prentice Hall, Englewood Cliffs, N.J., 1969.
I. S. Sokolnikoff, Mathematical theory of elasticity, 2nd ed., McGraw-Hill, New York, 1956.
S. P. Timoshenko and J. N. Goodier, Theory of elasticity, McGraw-Hill, New York, 1970.
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© 2005 Springer Science + Business Media, Inc.
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(2005). The Transmission of Force. In: Fundamentals of Structural Mechanics. Springer, Boston, MA. https://doi.org/10.1007/0-387-23331-8_3
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DOI: https://doi.org/10.1007/0-387-23331-8_3
Publisher Name: Springer, Boston, MA
Print ISBN: 978-0-387-23330-7
Online ISBN: 978-0-387-23331-4
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