Abstract
A composite beam is defined analogously to a composite bar as in Sect. 6.3.3 (page 269) and a composite shaft as in Sect. 7.1.5 (page 318): it is assumed to be made up of two or more materials, so that the Young’s modulus E varies over the cross-section \(\mathcal{A}\). We express this variation as E(y, z), although, in fact, \(\mathcal{A}\) comprises subregions (say \(\mathcal{A}_{1},\mathcal{A}_{2},\ldots\)) within which E has a constant value (E 1, E 2,…).
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Notes
- 1.
Structural engineers usually write f s for σ s and f c for \(\sigma _{\mathrm{max}}^{c}\).
- 2.
Sometimes a shear-corrected area \(A_{\mathrm{sh}} = A/\alpha\) is used.
- 3.
The term is borrowed from rigid-body dynamics, as is “moment of inertia.”
- 4.
The shear stresses produced by a shear force are known as direct shear stresses.
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© 2014 Springer Science+Business Media New York
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Lubliner, J., Papadopoulos, P. (2014). Additional Topics in Bending. In: Introduction to Solid Mechanics. Springer, New York, NY. https://doi.org/10.1007/978-1-4614-6768-7_9
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DOI: https://doi.org/10.1007/978-1-4614-6768-7_9
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