The Bending of Beams With Thin Tension Flanges Page: 2 of 17
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NASA Technical Ubr
3 1176 01441 1558
a__-_ - _ --~- - -
NATIONAL ADVISORY COMMITTEE FOR AERONAUTICS
TECHNICAL MEMORANDUM NO. 769
TEE BENDING OF BEAMS WITH THIN TENSION FLANGES*
By Placido Cicala
SUMMARY
The writer analyzes the action of a cantilever T beam
with a tension flange so thin that it can carry only ten-
sile stresses.
In airplane design we frequently find beams with thin-
walled cover plates consisting of the same elements which
serve as covering. To illustrate: The wing structure,
consisting of spars and ribs, is very often covered with a
thin sheet of wood or metal, which contributes materially
to the stiffness of the whole. As far as torsion is con-
cerned, the usual theory permits a safe enough analysis of
the stresses and deformations. But for bending, the as-
sumptions of the conservation of plane sections are no
longer admissible; the calculations usually neglect the
effect of the covering or we retain only a very small
strip of it which, attached to the spar, bends solidly
with it.
Metzer, referring the case to a T-section beam with
infinite supports, resolved the problem for a strip of the
cover plate, which may be assumed as contributing to the
bending of the beams.** The resolution may equally be ex-
tended to include the case of cantilever beams, provided
one of the conditions on the contour, i.e., multiplication
of the shear along the outside edge, is disregarded. How-
ever, this theory proceeds from the assumption that the
cover plato is suitable for transmitting even compressive
stresses, something which leaves some uncertainty when we
*I"La flessiono dollo travi con piastra sottile." (Labora-
torio di Aeronautica della R. Scuola di Ingegneria.)
Reprint from Atti della Reale Accademia delle Sci-
enze di Torino, vol. 69, 1933-1934, pp. 171-187.
**Die Miittragende Breite. Luftfahrtforschung, vol. IV,
no. 1, June 5, 1929.
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Cicala, Placido. The Bending of Beams With Thin Tension Flanges, report, March 1935; (https://digital.library.unt.edu/ark:/67531/metadc63454/m1/2/: accessed April 23, 2024), University of North Texas Libraries, UNT Digital Library, https://digital.library.unt.edu; crediting UNT Libraries Government Documents Department.