Abstract
A composite beam is defined analogously to a composite bar as in Sect. 6.3.3 (page 278) and a composite shaft as in Sect. 7.1.5 (page 328): it is assumed to be made up of two or more materials, so that the Young’s modulus E varies over the cross-section \(\mathscr {A}\). We express this variation as E(y, z), although, in fact, \(\mathscr {A}\) comprises subregions (say \(\mathscr {A}_1, \mathscr {A}_2, \ldots \)) 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 \(\sigma ^c_{\mathrm{max}}\).
- 2.
Also called “product of inertia” (see page 370).
- 3.
Sometimes a shear-corrected areaA sh = A∕α is used.
- 4.
The term is borrowed from rigid-body dynamics, as is “moment of inertia.”
- 5.
The shear stresses produced by a shear force are known as direct shear stresses
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Lubliner, J., Papadopoulos, P. (2017). Additional Topics in Bending. In: Introduction to Solid Mechanics. Springer, Cham. https://doi.org/10.1007/978-3-319-18878-2_9
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DOI: https://doi.org/10.1007/978-3-319-18878-2_9
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