Supplement to
13UCELINC
or FLAT PLYWOOD PLATES IN COMPRESSION,
SHEAR, OR COMBINED COMPRESSION AND SHEAR
13uclzling of long, Flat Plywood Plates Under Uniform Shear.
Crain of face Plies Inclined to Edges. Edges Clamped
Informatia1 12evime-d-antl-Ft*ffirmcd
ilttne=11415.4
N,F4Pai*C4-014—R4 31-1ESP—Aff D
REAKE-1-RAIED—J4d4
DATE OF ORIGINAL REPORT
OCTOBER 1943
INFORMATION RE':
AND
REAFF •
19'62
This Report is One of a Series
Issued in Cooperation with
ARMY-NAVY-CIVIL COMMITTEE
on
AIRCRAFT DESIGN CRITERIA
Under the Supervision of the
AERONAUTICAL BOARD
No. 1316-IF
UNITED STATES DEPARTMENT OF AGRICULTURE
FOREST SERVICE
FOREST PRODUCTS LABORATORY
Madison 5,Wisconsin
In Cooperation with the University of Wisconsin
f.„
BUCKLING OF LONG, PLAT PLYWOOD PLATES UNDER UNIFORM SHEAR. GRAIN
OF FACE PLIES INCLINED TO ELMS. EDGES CLAMPED
By H.
MARCH, Read Mathematician
Forest Products Laboratory,& Forest Service
U. S. Department of Agriculture
PO se SP la
In Reports Nos. 1316, 1316-B, and 1316-C, values of the coefficient
k in the formula for the buckling stress of long, flat plywood plates are
given for a number of types of plywood under several conditions Of loading.
Most of the values are given for plates with simply - supported edges.
Values of k for plates with clamped edges were found for only two types
of plywood and for only three orientations of the grain of the face plies.
In certain investigations, values of k were needed for other types
of plywood plates with clamped edges and under uniform shear. The results
were needed for plates having the grain of the face plies at 45° to the
edges. It was decided, for the sake of possible future needs, to have
the calculations made for other angles of inclination of the face plies.
The values of k are given in table 14.1
The necessary formulas are given here. They were obtained by the
method used in deriving the formulas of case 2, section 4, Report No,
1316-B. Reference is made to the series of Reports Nos. 1316 to 1316-C
for a discussion of the mathematical treatment, for the notation used and
for the values of the elastic constants of Douglas-fir that were used in
the calculations, It should be carefully noted that the angle A is the
angle between the grain of the face plies and a line perpendicular to the
edges of the (infinitely) long plates.
This report is one of a series of progress reports prepared by the Forest
Products Laboratory relating to the use of wood in aircraft. Results
here reported are preliminary and may be revised as additional data
become available.
?Maintained at Madison, Wis., in cooperation with the University of
Wisconsin,
This table number is consecutive with those of Report No. 1316 and
supplements A, B, C, D, and E.
Report No. 1316-F
-1-
The constant, ki is „obtained from. the .formals
2
k$ =
mokylk
1
+ 6K1 z2 + 615.
2 - 3K6 y]
where z and y satisfy the simultaneous equations
z4
z 2
3
16
6 K2
y4
+
.}15 y
Ri72
116
1(
3K5 y
3K6 y 3 - 6Ki
Art y 2 4E13.
Report No. 1316.y -2.
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