Determination of the Mass Moments and Radii of Inertia of the Sections of a Tapered Wing and the Center-of-Gravity Line Along the Wing Span Page: 2 of 29
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3 1176 01441 5112
NATIONAL ADVISORY COMMITTEE FOR AERONAUTICS
TECHNICAL MEMORANDUM NO, 1052
DETERMINATION OF THE MASS MOMENTS AND RADII OF INERTIA
OF THE SECTIONS OF A TAPERED WING AND
THE CENTER-OF-GRAVITY LINE ALONG THE WING SPAN*
By V. V. Savelyev
INTRODUCTI ON
For computing the critical flutter velocity of a wing
among the data required are the position of the line of
centers of gravity of the wing sections along the span and
the mass moments and radii of inertia of any section of
the wing about the axis passing through the center of grav-
ity of the section. A sufficiently detailed computation
of these magnitudes, even if the weights of all the wing
elements are known, requires a great deal of time expend-
iture. Thus a rapid competent worker would require from
70 to 100 hours for the preceding computations for one
wing only, while hundreds of hours would be required if
all the weights were included.
With the aid of the formulas derived in the present
paper, the preceding work can be performed with a degree
of accuracy sufficient for practical purposes in from one
to two hours, the only required data being the geometric
dimensions of the outer wing (tapered part), the position
of its longerons, the total weight of the outer wing, and
the approximate weight of the longerons.
The entire material presented in this paper is appli-
cable mainly to wings of longeron construction of the CAHI
type and investigations are therefore being conducted by
CAHI for the derivation of formulas for the determination
of the preceding data for wings of other types,*Report No. 452, of the Central Aero-Hydrodynamical Insti-
tute, Moscow, 1939.
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Savelyev, V. V. Determination of the Mass Moments and Radii of Inertia of the Sections of a Tapered Wing and the Center-of-Gravity Line Along the Wing Span, report, December 1943; (https://digital.library.unt.edu/ark:/67531/metadc64422/m1/2/: accessed March 30, 2024), University of North Texas Libraries, UNT Digital Library, https://digital.library.unt.edu; crediting UNT Libraries Government Documents Department.