Abstract
If we cut the circular annulus of Figure 8.1 along two radial lines, \(\theta \!=\!\alpha ,\beta \), we generate a curved beam. The analysis of such beams follows that of Chapter 8, except for a few important differences — notably that (i) the ends of the beam constitute two new boundaries on which boundary conditions (usually weak boundary conditions) are to be applied and (ii) it is no longer necessary to enforce continuity of displacements (see §9.3.1), since a suitable principal value of \(\theta \) can be defined which is both continuous and single-valued.
This is a preview of subscription content, log in via an institution to check access.
Access this chapter
Tax calculation will be finalised at checkout
Purchases are for personal use only
Author information
Authors and Affiliations
Corresponding author
Rights and permissions
Copyright information
© 2022 The Author(s), under exclusive license to Springer Nature Switzerland AG
About this chapter
Cite this chapter
Barber, J.R. (2022). Curved Beam Problems. In: Elasticity. Solid Mechanics and Its Applications, vol 172. Springer, Cham. https://doi.org/10.1007/978-3-031-15214-6_10
Download citation
DOI: https://doi.org/10.1007/978-3-031-15214-6_10
Published:
Publisher Name: Springer, Cham
Print ISBN: 978-3-031-15213-9
Online ISBN: 978-3-031-15214-6
eBook Packages: Physics and AstronomyPhysics and Astronomy (R0)