Hostname: page-component-cd9895bd7-q99xh Total loading time: 0 Render date: 2024-12-29T06:24:59.306Z Has data issue: false hasContentIssue false
  • English
  • Français

The Centre of Shear of Aerofoil Sections

Published online by Cambridge University Press:  28 July 2016

John A. Jacobs
John A. Jacobs*
Affiliation:
University of Toronto
Get access Rights & Permissions [Opens in a new window]

Extract

Consider a cantilever beam of uniform cross section whose generators are parallel to the z-axis and whose lateral surface is free from surface tractions. The line of centroids of the cross sections in the unstrained state is taken as the z-axis, and the x- and y-axes are the principal axes of the cross section at the centroid of the fixed end z = 0.

The other end of the beam (z = l) is subject to forces which reduce to a single force with components (Wx, Wv, 0), transverse to the z-axis, acting through the load point L of this end section (see Fig. 1). The co-ordinates of L are taken as (p, q, l).

Type
Technical Notes
Information
The Aeronautical Journal , Volume 57 , Issue 508 , April 1953 , pp. 235 - 237
Copyright
Copyright © Royal Aeronautical Society 1953

Access options

Get access to the full version of this content by using one of the access options below. (Log in options will check for institutional or personal access. Content may require purchase if you do not have access.)

References

1. Osgood, W. R. (1943). The Center of Shear Again, Journal of Applied Mechanics, Trans. A.S.M.E., Vol. 65, pp. A-62–A-64, June 1943.Google Scholar
2. Stevenson, A. C. (1938). Flexure with Shear and Associated Torsion in Prisms of Uni-axial and Asymmetric Cross-sections, Phil. Trans. Roy. Soc. A, Vol. 237, pp. 161–229, April 1938.Google Scholar
3. Specht, R. D. (1943). The Center of Shear Again (Discussion), Journal of Applied Mechanics, Trans. A.S.M.E., Vol. 65, pp. A-235–A-236, December 1943.Google Scholar
4. Goodier, J. N. (1944). A Theorem on the Shearing Stress in Beams with applications to Multicellular Sections. Journal of the Aeronautical Sciences, Vol. 11, No. 3, pp. 272–280, July 1944.Google Scholar
5. Timoshenko, S. and Goodier, J. N. (1951). Theory of Elasticity, 2nd Edition, pp. 333–334, McGraw-Hill, 1951.Google Scholar
6. Trefftz, E. (1935). Uber den Schubmittelpunkt in einem durch eine Einzellast gebogenen Balken, Zeitschrift für Angewandte Mathematik und Mechanik, Vol. 15, pp. 220–225, July 1935.Google Scholar