Stiffened plates and shells are encountered in many engineering applications. Several analytical and numerical procedures were developed over the past decades for analysis of these structures. Empirical and simplified analytical models were also developed to estimate their ultimate strength for various limit states. The paper reviews and pieces together engineering work developed for all the applications. The first part reviews the analytical, numerical, and orthotropic plate procedures that were developed for analysis of stiffened plates and shells. The structural idealization, the theoretical basis, and the merits of each method are also discussed. The second part of the paper reviews the design philosophies that were developed to predict the ultimate strength of these structures. The influence of various parameters affecting the structural performance, such as geometric and material imperfections, stiffener profile, etc., is discussed. The optimization procedures to minimize the weight of the structure are also reviewed. The paper offers a comprehensive and unique “reference-manual” for all types of stiffened plate applications.

1.
Troitsky
,
M. S.
, 1976,
Stiffened Plates, Bending, Stability and Vibrations
,
Elsevier
,
New York
.
2.
Bedair
,
O.
, and
Troitsky
,
M. S.
, 1999, “
Industrial Applications of Stiffened Plate Assemblies
,” Technical Report for Natural Sciences and Engineering Research Council of Canada.
3.
Cox
,
H. L.
, 1954, “
Computation of Initial Buckling Stress of Sheet Stiffener Combinations
,”
J. R. Aeronaut. Soc.
0368-3931,
58
, pp.
634
638
.
4.
Cox
,
H. L.
, 1933, “
Buckling of Thin Plates in Compression
,” R. & M. No. 1554, British A. R. C.
5.
Cox
,
H. L.
, 1958, “
The Application of the Theory of Stability in Structural Design
,”
J. R. Aeronaut. Soc.
0368-3931,
62
, pp.
479
519
.
6.
Cox
,
H. L.
, and
Riddell
,
J. R.
, 1948, “
Buckling of Longitudinally Stiffened Flat Panels
,”
Aeronaut. Q.
0001-9259,
1
, pp.
225
244
.
7.
Cox
,
H. L.
, and
Smith
,
H. E.
, 1945, “
The Buckling of Grids of Stringers and Ribs
,”
Proc. London Math. Soc.
,
48
, pp.
1
26
. 0024-6115
8.
Cox
,
H. L.
, and
Smith
,
H. E.
, 1945, “
The Buckling of Thin Sheet Transversely Stiffened
,”
Proc. London Math. Soc.
,
48
, pp.
27
34
. 0024-6115
9.
Martin
,
D. W.
, and
Cox
,
H. L.
, 1963, “
The Buckling Modes of Longitudinally Stiffened Flat Panel
,”
Aeronaut. Q.
0001-9259,
14
, pp.
346
398
.
10.
Klitchieff
,
J. M.
, and
Belgrade
,
Y.
, 1949, “
On the Stability of Plates Reinforced by Ribs
,”
ASME J. Appl. Mech.
,
16
, pp.
74
76
. 0021-8936
11.
Kloppel
,
E. K.
, and
Scheer
,
I.
, 1960,
Beulwerte Ausgesteifter Rechteckplatten Kurventafeln Zum Direkten Nachweis Der Beulsicherheit Fur Verschiedene Steifenanordnungen Und Belastungen
,
Von Wilhelm Ernst & Sohn
,
Berlin
.
12.
Hovichitr
,
I.
,
Karasudhi
,
P.
,
Nishino
,
F.
, and
Lee
,
S. L.
, 1977, “
A Rational Analysis of Plates With Eccentric Stiffeners
,”
IABSE Proceedings
No. P-4/77, pp.
1
14
.
13.
Crawford
,
R. F.
, and
Libove
,
C.
, 1958, “
Shearing Effectiveness of Integral Stiffening
,” Report No. NACA TN 3443.
14.
Dow
,
N. F.
,
Libove
,
R. L.
, and
Troutman
,
J. L.
, 1950, “
Elastic Buckling Under Combined Stresses of Flat Plates With Integral Waffle Like Stiffening
,” Report No. NACA TN 3059.
15.
Bedair
,
O.
, and
Sherbourne
,
A.
, 1995, “
Unified Approach to the Local Stability of Plate/Stiffener Assemblies
,”
J. Eng. Mech.
0733-9399,
121
(
2
), pp.
214
229
.
16.
Bedair
,
O.
, and
Sherbourne
,
A. N.
, 1993, “
Plate/Stiffener Assemblies in Uniform Compression. Part I: Buckling
,”
J. Eng. Mech.
0733-9399,
119
, pp.
1937
1955
.
17.
Sherbourne
,
A. N.
, and
Bedair
,
O.
, 1993, “
Plate/Stiffener Assemblies in Uniform Compression. Part II: Post-Buckling
,”
J. Eng. Mech.
0733-9399,
119
, pp.
1956
1972
.
18.
Bedair
,
O.
, and
Sherbourne
,
A.
, 1993, “
Toward Rational Predictions of Local Stability of Plate/Stiffener Assemblies
,”
Proceedings of the 11th Canadian Society for Civil Engineers Conference
, Fredericton, Canada, Vol.
4
, pp.
39
148
.
19.
Bedair
,
O.
, and
Sherbourne
,
A. N.
, 1994, “On the Stability of Plates Under Combined Compression and In-Plane Bending,” Int. J. Comput. & Structures, 53, pp. 1453–1464.
20.
Bedair
,
O.
, and
Sherbourne
,
A.
, 1995, “
The Elastic Stability of Partially Restrained Plates Under Compression and In-Plane Bending
,”
J. Constr. Steel Res.
,
35
(
3
), pp.
339
360
. 0143-974X
21.
Sherbourne
,
A. N.
, and
Bedair
,
O.
, 1993, “
Stability of Stiffened Plates Under Combined Compression and In-Plane Bending
,”
Proceedings of the 11th Canadian Society for Civil Engineers Conference
, Vol.
4
, pp.
129
138
.
22.
Bedair
,
O.
, and
Sherbourne
,
A. N.
, 1994, “
A Generalized Approach to Local Stability of Stiffened Plates: Part I-Mathematical Formulation
,”
Proceedings of the 12th Structures Congress of the ASCE
, Atlanta, GA, Vol.
2
, pp.
1526
1531
.
23.
Sherbourne
,
A. N.
, and
Bedair
,
O.
, 1994, “
A Generalized Approach to Local Stability of Stiffened Plates; Part II-Approximate Solutions
,”
Proceedings of the 12th Structures Congress of the ASCE
, Atlanta, GA, Vol.
2
, pp.
1526
1531
.
24.
Sherbourne
,
A. N.
, and
Bedair
,
O.
, 1994, “
Lateral Restraint of Plates Under Combined Compression and In-Plane Bending
,”
Proceedings of the 12th Canadian Society for Civil Engineers Conference
, Vol.
4
, pp.
424
429
.
25.
Mukhopadhyay
,
M.
, 1994, “
Stiffened Plates in Bending
,”
Comput. Struct.
,
50
, pp.
541
548
. 0045-7949
26.
Wah
,
T.
, 1964, “
Vibration of Stiffened Plates
,”
Aeronaut. Q.
0001-9259,
15
, pp.
285
298
.
27.
Aksu
,
G.
, and
Ali
,
R.
, 1976, “
Free Vibration Analysis of Stiffened Plates Using Finite Difference Method
,”
J. Sound Vib.
0022-460X,
48
, pp.
15
25
.
28.
Asku
,
G.
, 1982, “
Free Vibration Analysis of Stiffened Plates by Including the Effect of In-Plane Inertia
,”
ASME J. Appl. Mech.
,
49
, pp.
206
212
. 0021-8936
29.
Mittelstedt
,
C.
, 2007, “
Stability Behavior of Arbitrarily Laminated Composite Plates With Free and Elastically Restrained Unloaded Edges
,”
Int. J. Mech. Sci.
,
49
, pp.
819
833
. 0020-7403
30.
Mittelstedt
,
C.
, 2007, “
Closed-Form Analysis of the Buckling Loads of Uniaxially Loaded Blade-Stringer-Stiffened Composite Plates Considering Periodic Boundary Conditions
,”
Thin-Walled Struct.
0263-8231,
45
, pp.
371
382
.
31.
Lee
,
H.
, and
Ng
,
T.
, 1995, “
Effect of Torsional and Bending Restraints of Intermediate Stiffeners on the Free Vibration of Rectangular Plates
,”
Mech. Struct. Mach.
0890-5452,
23
, pp.
309
320
.
32.
Byklum
,
E.
, and
Amdahl
,
J.
, 2002, “
A Simplified Method for Elastic Large Deflection Analysis of Plates and Stiffened Panels Due to Local Buckling
,”
Thin-Walled Struct.
0263-8231,
40
, pp.
925
953
.
33.
Byklum
,
E.
,
Steen
,
E.
, and
Amdahl
,
J.
, 2004, “
Semi-Analytical Model for Global Buckling and Postbuckling Analysis of Stiffened Panels
,”
Thin-Walled Struct.
0263-8231,
42
, pp.
701
717
.
34.
Buermann
,
P.
,
Rolfes
,
R.
,
Tessmer
,
J.
, and
Schagerl
,
M.
, 2006, “
A Semi-Analytical Model for Local Post-Buckling Analysis of Stringer- and Frame-Stiffened Cylindrical Panels
,”
Thin-Walled Struct.
0263-8231,
44
, pp.
102
114
.
35.
Brubak
,
L.
, and
Hellesland
,
J.
, 2007, “
Approximate Buckling Strength Analysis of Arbitrarily Stiffened, Stepped Plates
,”
Eng. Struct.
,
29
, pp.
2321
2333
. 0141-0296
36.
Brubak
,
L.
,
Hellesland
,
J.
, and
Steen
,
E.
, 2007, “
Semi-Analytical Buckling Strength Analysis of Plates With Arbitrary Stiffener Arrangements
,”
J. Constr. Steel Res.
,
63
, pp.
532
543
. 0143-974X
37.
Fok
,
W. C.
,
Rhodes
,
J.
, and
Walker
,
A. C.
, 1976, “
Local Buckling of Outstands in Stiffened Plates
,”
Aeronaut. Q.
0001-9259,
27
, pp.
277
291
.
38.
Calladine
,
C. R.
, 1985, “
The Strength of Thin Plates in Compression
,”
Aspects of the Analysis of Plate Structures; A Volume in Honour of W. H. Wittrick
,
D. J.
Dawe
, ed.,
Clarendon
,
Oxford
, pp.
269
291
.
39.
Lundquist
,
E. E.
, 1939, “
Local Instability of Columns With I, Z, Channel and Rectangular Tube Sections
,” Report No. NACA TN 722.
40.
Coan
,
J. M.
, 1951, “
Large Deflection Theory for Plates With Small Initial Curvature Loaded in Compression
,”
ASME J. Appl. Mech.
,
18
, pp.
143
151
. 0021-8936
41.
Yamaki
,
N.
, 1959, “
Post-Buckling Behaviour of Rectangular Plates With Small Initial Curvatures Loaded in Edge Compression
,”
ASME J. Appl. Mech.
,
26
, pp.
407
414
. 0021-8936
42.
Yamaki
,
N.
, 1960, “
Post-Buckling Behaviour of Rectangular Plates With Small Initial Curvatures Loaded in Edge Compression, Continued
,”
ASME J. Appl. Mech.
,
27
, pp.
335
342
. 0021-8936
43.
Cook
,
I. T.
, and
Rocky
,
K. C.
, 1963, “
Shear Buckling of Rectangular Plates With Mixed Boundary Conditions
,”
Aeronaut. Q.
0001-9259,
14
, pp.
349
356
.
44.
Rhodes
,
J.
, and
Harvey
,
J. M.
, 1971, “
Plates in Uniaxial Compression With Various Support Conditions at Unloaded Boundaries
,”
Int. J. Mech. Sci.
0020-7403,
13
, pp.
787
802
.
45.
Rhodes
,
J.
, and
Harvey
,
J. M.
, 1977, “
Examination of Plate Post-Buckling Behaviour
,”
J. Struct. Div.
0044-8001,
103
(
3
), pp.
461
479
.
46.
Rhodes
,
J.
,
Harvey
,
J. M.
, and
Fok
,
W. C.
, 1975, “
The Load Carrying Capacity of Initially Imperfect Eccentrically Loaded Plates
,”
Int. J. Mech. Sci.
0020-7403,
17
, pp.
161
175
.
47.
Walker
,
A. C.
, 1969, “
The Post-Buckling Behaviour of Simply Supported Square Plates
,”
Aeronaut. Q.
0001-9259,
20
, pp.
203
222
.
48.
Walker
,
A. C.
, 1969, “
Flat Rectangular Plates Subjected to a Linearly-Varying Edge Compressive Loading
,”
Thin-Walled Struct.
0263-8231,
1
, pp.
208
247
.
49.
Walker
,
A. C.
, and
Murray
,
N. W.
, 1975, “A Plate Collapse Mechanism for Compressed Plates,” International Association for Bridge and Structural Engineering, 35-I, pp. 217–236.
50.
Johnson
,
J.
, and
Noel
,
R. G.
, 1953, “
Critical Bending Stress for Flat Rectangular Plates Supported Along All Edges and Elastically Restrained Against Rotation Along the Unloaded Compressive Edge
,”
J. Aeronaut. Sci.
,
20
, pp.
535
540
. 0095-9812
51.
Kalyanaraman
,
V.
,
Pekoz
,
T.
, and
Winter
,
G.
, 1977, “
Unstiffened Compression Elements
J. Struct. Div.
0044-8001,
103
(
9
), pp.
1833
1848
.
52.
Korol
,
R. M.
and
Sherbourne
,
A. N.
, 1972, “
Strength Predictions of Plates in Uniaxial Compression
,”
J. Struct. Div.
0044-8001,
98
(
9
), pp.
1965
1986
.
53.
Kuhn
,
P.
, and
Peterson
,
J.
, 1947, “
Strength Analysis of Stiffened Beam Webs
,” Report No. NACA TN 1364.
54.
Rushton
,
K. R.
, 1970, “
Post-Buckling of Rectangular Plates With Various Boundary Conditions
,”
Aeronaut. Q.
0001-9259,
24
, pp.
163
181
.
55.
Seide
,
P.
, 1953, “
The Effect of Longitudinal Stiffeners Located on One Side of a Plate on Compressive Buckling Stress on the Plate Stiffener Combination
,” Report No. NACA TN 2873.
56.
Winter
,
G.
, 1968, “
Thin-Walled Structures, Theoretical Solutions and Test Results
,”
Preliminary Publication of The Eighth Congress
,
IABSE
,
Zurich, Switzerland
, pp.
101
112
.
57.
Winter
,
G.
, 1947, “
Strength of Thin Steel Compression Flanges
,”
J. Struct. Div.
0044-8001,
112
, pp.
527
576
.
58.
Supple
,
W. J.
, and
Chilver
,
A. H.
, 1967, “
Elastic Post-Buckling of Compressed Rectangular Plates
,”
Thin-Walled Struct.
0263-8231,
1
, pp.
136
152
.
59.
Bijlaard
,
P.
, 1957, “
Buckling of Plates Under Non-Homogeneous Stress
,”
J. Struct. Div.
0044-8001,
83
(
3
), pp.
1
31
.
60.
Boley
,
S. R.
, 1955, “
A Procedure for the Approximate Analysis of Buckled Plates
,”
J. Aeronaut. Sci.
0095-9812,
61
, pp.
337
339
.
61.
Hook
,
R.
, 1970, “
Post-Elastic Deflection Prediction of Plates
,”
J. Struct. Div.
0044-8001,
96
(
4
), pp.
757
771
.
62.
Liboves
,
G.
,
Fordman
,
S.
, and
Reusch
,
J. J.
, 1949, “
Elastic Buckling of Simply Supported Plat Under a Compressive Stress That Varies Linearly in the Direction of Loading
,” Report No. NACA TN 1891.
63.
Marguerre
,
K.
, and
Trefftz
,
E.
, 1937, “
Uber Die Tragfahigkeit Eines Langsbelasteten Plattenstreifens Nach Uberschreiten Der Beullast
,”
Z. Angew. Math. Mech.
0044-2267,
17
, pp.
85
96
.
64.
Marguerre
,
K.
, 1937, “
The Apparent Width of Plate in Compression
,” Report No. NACA TN. 833.
65.
Tien
,
Y. L.
, and
Wang
,
S. T.
, 1979, “
Local Buckling of Beams Under Stress Gradient
,”
J. Struct. Div.
0044-8001,
105
(
8
), pp.
1571
1588
.
66.
Berger
,
H. M.
, and
Washington
,
D. C.
, 1955, “
A New Approach to the Analysis of Large Deflections of Plates
,”
ASME J. Appl. Mech.
,
22
, pp.
465
472
. 0021-8936
67.
Steen
,
E.
, 1989, “
Elastic Buckling and Postbuckling of Eccentrically Stiffened Plates
,”
Int. J. Solids Struct.
,
25
, pp.
751
768
. 0020-7683
68.
Rostovtsev
,
G. G.
, 1940, “Calculation of Thin Plane Sheeting Supported by Ribs,” Trudy Leningr. Inst. Inzhenerov Grazhdanskogo Vosdushnogo Flota, 20, pp. 3–108.
69.
Herzog
,
M.
, 1987, “
Simplified Design of Unstiffened Plates
,”
J. Struct. Div.
0044-8001,
113
, pp.
2111
2124
.
70.
Anderson
,
R. A.
, 1956, “
Charts Giving Critical Stress of Continuous Flat Sheet Divided Into Parallelogram-Shaped Panels
,” Report No. NACA TN 2392.
71.
Bleich
,
F.
, 1952,
Buckling Strength of Metal Structures
,
McGraw-Hill
,
New York
.
72.
Bulson
,
P. S.
, 1970,
The Stability of Flat Plates
,
Clark & Windus Ltd.
,
London
.
73.
Djubek
,
J.
,
Kodnor
,
R.
, and
Skaloud
,
M.
, 1983,
Limit State of Plate Elements of Steel Structures
,
Birkhauser
,
Basel, Switzerland
.
74.
Dow
,
N. F.
,
Libove
,
C.
and
Hubka
,
R.
, 1948, “
Formulas for Elastic Constants of Plates With Integral Waffle-Like Stiffening
,” Report No. NACA TN 344.
75.
Galambos
,
T. V.
, 1988, “
Guide to Stability Design Criteria for Metal Structures
,”
Structural Stability Research Council
, 4th ed.,
Wiley
,
New York
.
76.
Gerard
,
G.
, 1957, “
Handbook of Structural Stability: Part I-Buckling of Flat Plates
,” Report No. NACA TN 3781.
77.
B. G.
Johnston
, ed., 1976, “
Guide to the Stability Design Criteria for Metal Structures
,”
Structural Stability Research Council
, 3rd ed.,
Wiley
,
New York
.
78.
Kroll
,
W. D.
, 1943, “
Tables of Stiffness and Carry Over Factor for Flat Rectangular Plates Under Compression
,” Report No. NACA ARR 3K27.
79.
Kristek
,
V.
, and
Skaloud
,
M.
, 1991,
Advanced Analysis and Design of Plated Structures
,
Elsevier
,
New York
.
80.
Tvergaard
,
V.
, 1973, “
Influence of Post-Buckling Behaviour on Optimum Design of Stiffened Panels
,”
Int. J. Solids Struct.
0020-7683,
9
, pp.
1519
1534
.
81.
Tvergaard
,
V.
, 1973, “
Imperfection Sensitivity of a Wide Integrally Stiffened Panels Under Compression
,”
Int. J. Solids Struct.
0020-7683,
9
, pp.
177
192
.
82.
Tvergaard
,
V.
, and
Needleman
,
A.
, 1974, “
Buckling of Eccentrically Stiffened Elastic-Plastic Panels on Two Simple Supports or Multiply Supported
,” The Danish Centre for Mathematics and Mechanics, Report No. 71.
83.
Tvergaard
,
V.
, and
Needleman
,
A.
, 1977, “
Mode Interaction in an Eccentrically Stiffened Elastic-Plastic Panel Under Compression
,”
Buckling of Structures, IUTAM Symposium
,
B.
Budiansky
, ed.,
Springer-Verlag
,
Basel, Switzerland
, pp.
160
171
.
84.
Tvergaard
,
V.
, 1985, “
Rate-Sensitivity in Elastic-Plastic Panel Buckling
,”
Aspects of the Analysis of Plate Structures; A Volume in Honour of W. H. Wittrick
,
D. J.
Dawe
, ed.,
Clarendon
,
Oxford
, pp.
293
308
.
85.
Tvergaard
,
V.
, 1976, “
Buckling Behaviour of Plate and Shell Structures
,”
Theoretical and Applied Mechanics
,
W. T.
Koiter
, ed.,
North-Holland
,
Amsterdam
.
86.
Koiter
,
W. T.
, and
Pignatano
,
M.
, 1977, “
An Alternative Approach to the Interaction Between Local and Overall Buckling in Stiffened Panels
,”
Buckling of Structures, IUTAM Symposium
,
B.
Budiansky
, ed.,
Springer-Verlag
,
Basel, Switzerland
, pp.
133
149
.
87.
Koiter
,
W. T.
, and
Kuiken
,
G. D. C.
, 1971, “
The Interaction Between Local Buckling and Overall Buckling of Built-Up Columns
,” Delft University of Technology, WTHD Report No. 23.
88.
Koiter
,
W. T.
, and
Pignataro
,
M.
, 1976, “
A General Theory for the Interaction Between Local and Overall Buckling of Stiffened Panels
,” Delft University of Technology, WTHD Report No. 83.
89.
Koiter
,
W. T.
, and
Van der Neut
,
A.
, 1980, “
Interaction Between Local and Overall Buckling of Stiffened Compression Panels
,”
Thin-Walled Struct.
0263-8231,
14
, pp.
61
66
.
90.
Koiter
,
W. T.
, 1976, “
General Theory of Mode Interaction in Stiffened Plate and Shell Structures
,” Delft University of Technology, WTHD Report No. 91.
91.
Koiter
,
W. T.
, 1977, “
Current Trends in Theory of Buckling
,”
Buckling of Structures, IUTAM Symposium
,
B.
Budiansky
,
Springer-Verlag
,
New York
, pp.
1
15
.
92.
Koiter
,
W. T.
, 1945, “
On the Stability of Elastic Equilibrium
,” Ph.D. thesis, Delft University of Technology, Delft, Holland, English translation.
93.
Koiter
,
W. T.
, 1945,
NASA
Report No. TT F10 833.
94.
Van der Neut
,
A.
, 1977, “
Mode Interaction With Stiffened Panels
,”
Buckling Of Structures, IUTAM Symposium
,
B.
Budiansky
, ed.,
Springer-Verlag
,
New York
, pp.
117
132
.
95.
Van der Neut
,
A.
, 1985, “
A Plea for More Elegance in Stiffened Plate and Shell Equations
,”
Aspects of the Analysis of Plate Structures; A Volume in Honour of W. H. Wittrick
,
D. J.
Dawe
, ed.,
Clarendon
,
Oxford
, pp.
101
104
.
96.
Thompson
,
J. M.
,
Tulk
,
J. D.
, and
Walker
,
A. C.
, 1977, “
An Experimental Study of Imperfection Sensitivity in the Interactive Buckling of Stiffened Plates
,”
Buckling of Structures, IUTAM Symposium
,
B.
Budiansky
, ed.,
Springer-Verlag
,
New York
, pp.
149
159
.
97.
Almroth
,
B. O.
,
Stern
,
P.
, and
Bushnell
,
D.
, 1981, “
Imperfection Sensitivity of Optimized Structures
,” Report No. AFWAL TR-80–3128.
98.
Crawford
,
R. F.
, and
Hedgepeth
,
J. M.
, 1975, “
Effects of Initial Waviness on the Strength and Design of Built Up Structures
,”
AIAA J.
,
13
, pp.
672
675
. 0001-1452
99.
Graves Smith
,
T. R.
, 1971, “
The Effect of Initial Imperfections on the Strength of Thin-Walled Box Columns
,”
Int. J. Mech. Sci.
,
13
, pp.
911
925
. 0020-7403
100.
Loughlan
,
L.
, 1983, “
The Ultimate Load Sensitivity of Lipped Channel Columns to Column Axis Imperfection
,”
Thin-Walled Struct.
0263-8231,
1
, pp.
75
96
.
101.
Rhodes
,
J.
, and
Harvey
,
J. M.
, 1971, “
Effects of Eccentricity of Load or Compression on the Buckling and Post-Buckling Flat Plates
,”
Int. J. Mech. Sci.
,
13
, pp.
867
879
. 0020-7403
102.
Rhodes
,
J.
, and
Harvey
,
J. M.
, 1976, “
Plain Channel Section Struts in Compression and Bending Beyond the Local Buckling Load
,”
Int. J. Mech. Sci.
,
18
, pp.
511
519
. 0020-7403
103.
Walker
,
A. C.
, 1968, “Maximum Loads for Eccentrically Loaded Thin Walled Channel Struts,” International Association for Bridge and Structural Engineering, 28, pp. 169–181. 0020-7403
104.
Hu
,
P. C.
,
Lundquist
,
E. E.
, and
Batdorf
,
S. B.
, 1946, “
Effect of Small Deviations From Flatness on Effective Width and Buckling of Plates in Compression
,” Report No. NACA TN 1124.
105.
Massonnet
,
C.
, 1977, “
Interaction Between Local Plate Buckling and Overall Buckling in Thin Walled Compression Members, Theories and Experiments
,”
Buckling of Structures, IUTAM Symposium
,
B.
Budiansky
, ed.,
Springer-Verlag
,
New York
, pp.
365
382
.
106.
Byskov
,
E.
,
Damkilde
,
L.
, and
Jenson
,
K. J.
, 1974, “
Multimode Interaction in Uniaxially Stiffened Cylindrical Shells
,” The Danish Centre for Mathematics and Mechanics, Report No. 71.
107.
Chilver
,
A. H.
, 1955, “
The Local Instability of a Simple Integral Panel
,”
J. R. Aeronaut. Soc.
0368-3931,
59
, pp.
690
693
.
108.
Chilver
,
A.
, 1967, “
Coupled Modes of Elastic Buckling
,”
J. Mech. Phys. Solids
0022-5096,
15
, pp.
15
48
.
109.
Chilver
,
A. H.
, 1953, “
A Generalized Approach to the Local Instability of Certain Thin Walled Struts
,”
Aeronaut. Q.
0001-9259,
5
, pp.
245
260
.
110.
Johns
,
K. C.
, and
Chilver
,
A. H.
, 1971, “
Multiple Path Generation at Coincident Buckling Points
,”
Int. J. Mech. Sci.
,
13
, pp.
899
910
. 0020-7403
111.
Johns
,
K. C.
, 1974, “
Imperfection Sensitivity of Coincident Buckling Systems
,”
Int. J. Non-Linear Mech.
,
9
, pp.
1
21
. 0020-7462
112.
Roorda
,
J.
, 1988, “
Buckling Behaviour of Thin-Walled Columns
,”
Can. J. Civ. Eng.
,
15
, pp.
107
116
. 0315-1468
113.
Rothwell
,
A.
, 1968, “
Coupled Modes in Buckling of Panels With Z-Section Stringer in Compression
,”
J. R. Aeronaut. Soc.
0368-3931,
72
, pp.
159
163
.
114.
Supple
,
W. J.
, 1968, “
On the Change in Buckle Pattern in Elastic Structures
,”
Int. J. Mech. Sci.
,
10
, pp.
737
745
. 0020-7403
115.
Supple
,
W. J.
, 1970, “
Changes of Wave Form of Plates in the Post-Buckling Range
,”
Int. J. Solids Struct.
,
6
, pp.
1243
1258
. 0020-7683
116.
Stein
,
M.
, 1959, “
The Phenomenon of Change in Buckle Pattern in Elastic Structures
,”
NASA
Report No. TR R39.
117.
Matkowsky
,
B. J.
, and
Putnik
,
L. J.
, 1974, “
Multiple Buckled States of Rectangular Plates
,”
Int. J. Non-Linear Mech.
,
9
, pp.
89
103
. 0020-7462
118.
Dombourian
,
E. M.
,
Smith
,
C. V.
, and
Carlson
,
R. L.
, 1976, “
A Perturbation Solution to a Plate Postbuckling Problem
,”
Int. J. Non-Linear Mech.
,
11
, pp.
49
58
. 0020-7462
119.
Huseyin
,
K.
, 1975,
Non-Linear Theory of Elastic Stability
,
Noordhoff
,
Groningen
.
120.
Rockey
,
K. C.
, and
Cook
,
I. T.
, 1962, “
Shear Buckling of Clamped and Simply Supported Long Plates Reinforced by Transverse Stiffeners and a Central Longitudinal Stiffener
,”
Aeronaut. Q.
0001-9259,
13
, pp.
95
114
.
121.
Stein
,
M.
, 1985, “
Analytical Results for Post-Buckling Behaviour of Plates in Compression and Shear
,”
Aspects of the Analysis of Plate Structures; A Volume in Honour of W. H. Wittrick
,
D. J.
Dawe
, ed.,
Clarendon
,
Oxford
, pp.
205
223
.
122.
Leggett
,
D. M. A.
, 1950, “
The Stresses in a Flat Panel Under Shear When the Buckling Load Has Been Exceeded
,” Report No. NACA TN 2430.
123.
Levy
,
S.
,
Fienup
,
K. L.
, and
Woolley
,
M.
, 1942, “
Analysis of Square Shear Web Above Buckling Load
,” Report No. NACA TN 962.
124.
Guyon
,
Y.
, 1946, “
Calcul des Ponts Larges a Poutres Multiples Solidarisees par des Entretoises
,”
Ann. Ponts Chaussees
0003-4304,
10
(
9
), pp.
553
612
.
125.
Massonnet
,
C.
, 1950, “Methode de Calcul des Ponts a Poutres Multiples Tenant Compte de leur Resistance a la Torsion,” International Association for Bridge and Structural Engineering, 10, pp. 680–748.
126.
Massonnet
,
C.
, 1950, “Contribution au Calcul des Ponts a Poutres Multiples,” Trauvaux Publiques de la Belgique, 103, pp. 337–422.
127.
Bares
,
R.
, and
Massonnet
,
C.
, 1966,
Analysis of Beam Grids and Orthotropic Plate
,
Frederick Ungar
,
New York
.
128.
Pfluger
,
A.
, 1955, “Die Orthtrop Platte mit Hohlsteifen,” Osterreichisches Ingenieur-Archiv, 2, pp. 199–207.
129.
Blackketter
,
D. M.
, and
Boresi
,
A. P.
, 1989, “
Cross Ribbed Rectangular Plates
,”
Mech. Struct. Mach.
0890-5452,
17
, pp.
321
331
.
130.
Blackketter
,
D. M.
, and
Boresi
,
A. P.
, 1989, “
A Study of the Stability of Longitudinally Ribbed Rectangular Plates
,”
Mech. Struct. Mach.
0890-5452,
17
, pp.
459
472
.
131.
Huffington
,
N. J.
, 1956, “
Theoretical Determination of Rigidity Properties of Orthogonally Stiffened Plates
,”
ASME J. Appl. Mech.
,
26
, pp.
15
1956
. 0021-8936
132.
Timoshenko
,
S. P.
, and
Gere
,
J. M.
, 1959,
Theory of Plates and Shells
,
McGraw-Hill
,
New York
.
133.
Troitsky
,
M. S.
, 1967,
Orthotropic Bridges Theory and Design
,
James F. Lincoln Arc Welding Foundation
,
Cleveland, OH
.
134.
Ugural
,
A. C.
, 1981, “
Stresses
,”
Plates and Shells
,
McGraw-Hill
,
New York
.
135.
Bulson
,
P. S.
, 1967, “
Local Stability and Strength of Structural Sections
,”
Thin-Walled Struct.
0263-8231,
1
, pp.
153
207
.
136.
Gaylord
,
E. H.
and
Gaylord
,
C. N.
, eds., 1990,
Structural Engineering Handbook
,
McGraw-Hill
,
New York
.
137.
Kristek
,
V.
, 1979,
Theory of Box Girder
,
Wiley
,
New York
.
138.
Hoppman
,
H. W.
,
Huffington
,
N. J.
, and
Magness
,
L. S.
, 1956, “
A Study of Orthogonally Stiffened Plates
,”
ASME Trans. J. Appl. Mech.
0021-8936,
23
, pp.
243
250
.
139.
Hoppmann
,
W. H.
, and
Baltimore
,
M.
, 1955, “
Bending of Orthogonally Stiffened Plates
,”
ASME J. Appl. Mech.
,
22
, pp.
267
271
. 0021-8936
140.
Soper
,
W. G.
, 1958, “
Large Deflection of Stiffened Plates
,”
ASME J. Appl. Mech.
,
25
, pp.
444
448
. 0021-8936
141.
Maaskant
,
R.
, 1989 “
Interactive Buckling of Biaxially Loaded Elastic Plate Structures
,” Ph.D. thesis, University of Waterloo, Waterloo, Ontario, Canada.
142.
Kagan
,
H. A.
, and
Kubo
,
G. G.
, 1968, “
Elasto-Plastic Analysis of Reinforced Plates
,”
J. Struct. Div.
0044-8001,
94
, pp.
943
958
.
143.
Aalami
,
B.
, and
Chapman
,
J. C.
, 1969, “
Large-Deflection Behaviour of Rectangular Orthotropic Plates Under Transverse and In-Plane Loads
,”
Proc.-Inst. Civ. Eng.
,
42
, pp.
347
382
. 0020-3262
144.
Adotte
,
G. D.
, 1967, “
Second Order Theory of Orthotropic Plates
,”
J. Struct. Div.
0044-8001,
93
, pp.
343
362
.
145.
Basu
,
A. K.
, and
Chapman
,
J. C.
, 1966, “
Large Deflection Behaviour of Transversely Loaded Rectangular Orthotropic Plates
,”
Proc.-Inst. Civ. Eng.
,
35
, pp.
79
110
. 0020-3262
146.
Chaia
,
C. Y.
, 1972, “
Large Deflection of Rectangular Orthotropic Plates
,”
J. Struct. Div.
0044-8001,
98
, pp.
1285
1298
.
147.
Little
,
G. H.
, 1987, “
An Efficient Computer Program for the Large Deflection Analysis of Rectangular Orthotropic Plates
,”
Comput. Struct.
0045-7949,
27
, pp.
467
482
.
148.
Clifton
,
R. J.
,
Chang
,
J. C.
, and
Au
,
T.
, 1963, “
Analysis of Orthotropic Plate Bridges
,”
J. Struct. Div.
,
89
, pp.
133
171
. 0044-8001
149.
Harris
,
G. Z.
, 1975, “
The Buckling of Orthotropic Rectangular Plates, Including the Effect of Lateral Edges Restraints
,”
Int. J. Solids Struct.
,
11
, pp.
877
885
. 0020-7683
150.
Jones
,
R.
, 1968, “
Buckling of Cylindrical Shells With Multiple Orthotropic Layers and Eccentric Stiffeners
,”
AIAA J.
,
6
, pp.
2301
2305
. 0001-1452
151.
Kinloch
,
H.
, and
Harvey
,
J.
, 1967, “
Analysis and Design of Anisotropic Plate Structures With Particular Reference to Decking System
,”
Thin-Walled Struct.
0263-8231,
1
, pp.
271
294
.
152.
Bedair
,
O.
, 1998,
Comments on the Application of Huber’s Equations for Analysis of Orthotropic Plates
,
Civil Engineering Department, Concordia University
,
Montreal, Canada
.
153.
Mukhopadhyay
,
M.
, 1989, “
Vibration and Stability of Stiffened Plates by Semi-Analytic Finite Difference Method, Part I: Consideration of Bending Displacement Only
,”
J. Sound Vib.
,
130
, pp.
30
41
. 0022-460X
154.
Mukhopadhyay
,
M.
, 1989, “
Vibration and Stability Analysis of Stiffened Plates by Semi-Analytic Finite Difference Method, Part II: Consideration of Bending and Axial Displacements
,”
J. Sound Vib.
,
130
, pp.
41
53
. 0022-460X
155.
Mukherjee
,
A.
, and
Mukhopadhyay
,
M.
, 1989, “
Finite Element Free Vibration of Eccentrically Stiffened Plates
,”
Comput. Struct.
0045-7949,
30
(
6
), pp.
1303
1317
.
156.
Mukherjee
,
N.
, and
Chattopadhyay
,
T.
, 1994, “
Improved Free Vibration Analysis of Stiffened Plates by Dynamic Element Method
,”
Comput. Struct.
,
52
, pp.
259
264
. 0045-7949
157.
Barrette
,
M.
,
Berry
,
A.
, and
Beslin
,
O.
, 2000, “
Vibration of Stiffened Plates Using Hierarchical Trigonometric Functions
,”
J. Sound Vib.
,
235
, pp.
727
747
. 0022-460X
158.
Ghosh
,
A.
, and
Biswal
,
K.
, 1996, “
Free-Vibration Analysis of Stiffened Laminated Plates Using Higher-Order Shear Deformation Theory
,”
Finite Elem. Anal. Design
,
22
, pp.
143
161
. 0168-874X
159.
Rikards
,
R.
,
Chate
,
A.
, and
Ozolinsh
,
O.
, 2001, “
Analysis for Buckling and Vibrations of Composite Stiffened Shells and Plates
,”
Compos. Struct.
,
51
(
4
), pp.
361
370
. 0263-8223
160.
Satish Kumar
,
Y. V.
, and
Mukhopadhyay
,
M.
, 2002, “
Transient Response Analysis of Laminated Stiffened Plates
,”
Compos. Struct.
,
58
(
1
), pp.
97
107
. 0263-8223
161.
Zhang
,
W.
,
Wang
,
A.
,
Vlahopoulos
,
N.
, and
Wu
,
K.
, 2005, “
Vibration Analysis of Stiffened Plates Under Heavy Fluid Loading by an Energy Finite Element Analysis Formulation
,”
Finite Elem. Anal. Design
,
41
, pp.
1056
1078
. 0168-874X
162.
Park
,
B.
, and
Cho
,
S.
, 2006, “
Simple Design Formulae for Predicting the Residual Damage of Unstiffened and Stiffened Plates Under Explosion Loadings
,”
Int. J. Impact Eng.
,
32
, pp.
1721
1736
. 0734-743X
163.
Patel
,
S. N.
,
Datta
,
P. K.
, and
Sheikh
,
A. H.
, 2006, “
Buckling and Dynamic Instability Analysis of Stiffened Shell Panels
,”
Thin-Walled Struct.
0263-8231,
44
, pp.
321
333
.
164.
Ghavami
,
K.
, and
Khedmati
,
R.
, 2006, “
Numerical and Experimental Investigations on the Compression Behaviour of Stiffened Plates
,”
J. Constr. Steel Res.
,
62
, pp.
1087
1100
. 0143-974X
165.
Madhavan
,
M.
, and
Davidson
,
J. S.
, 2005, “
Buckling of Centerline-Stiffened Plates Subjected to Uniaxial Eccentric Compression
,”
Thin-Walled Struct.
0263-8231,
43
, pp.
1264
1276
.
166.
Barik
,
M.
, and
Mukhopadhyay
,
M.
, 2002, “
A New Stiffened Plate Element for the Analysis of Arbitrary Plates
,”
Thin-Walled Struct.
0263-8231,
40
, pp.
625
632
.
167.
Jiang
,
W.
,
Bao
,
G.
, and
Robert
,
J. C.
, 1997, “
Finite Element Modeling of Stiffened and Unstiffened Orthotropic Plates
,”
Comput. Struct.
,
63
, pp.
105
117
. 0045-7949
168.
Mallela
,
U.
, and
Upadhyay
,
A.
, 2006, “
Buckling of Laminated Composite Stiffened Panels Subjected to In-Plane Shear: A Parametric Study
,”
Thin-Walled Struct.
0263-8231,
44
, pp.
354
361
.
169.
Bedair
,
O.
, and
Eastaugh
,
G.
, 2007, “
A Numerical Model for Analysis of Riveted Splice Joints Accounting for Secondary Bending and Plate/Rivet Interaction
,”
Thin-Walled Struct.
0263-8231,
45
, pp.
251
370
.
170.
Bedair
,
O.
,
Xiong
,
Y.
, and
Eastaugh
,
G.
, 1999, “
Finite Element Modeling of a Longitudinal Fuselage Skin Splice in the Challenger Aircraft
,” Technical Report for the Institute for Aerospace, NRC, Report No. LM-ST-831.
171.
Bedair
,
O.
,
Eastaugh
,
G.
, and
Xiong
,
Y.
, 1999, “
Challenger MSD Investigation: Finite Element Models of Fuselage Frame-Bay With Longitudinal Splice
,” Technical Report for the Institute for Aerospace Research, National Research Council Canada, Report No. LM-ST-832.
172.
Koko
,
T. S.
, and
Olson
,
M. D.
, 1991, “
Non-Linear Analysis of Stiffened Plates Using Super Element
,”
Int. J. Numer. Methods Eng.
0029-5981,
31
, pp.
319
343
.
173.
Hagedoorn
,
H. J.
, 1973, “
An Elastic Finite Element Analysis of the Buckling of Eccentrically Stiffened Plates and Shells
,” Ph.D. thesis, Cornell University, Ithaca, NY.
174.
Wegmuller
,
A. W.
, and
Costem
,
C. N.
, 1973,
Finite Element Analysis of Plates and Eccentrically Stiffened Plates
,
Fritz Engineering Laboratory, Lehigh University
,
Lehigh, PA
.
175.
Wegmuller
,
A. W.
, 1974, “
Full Range Analysis of Eccentrically Stiffened Plates
,”
J. Struct. Div.
0044-8001,
100
, pp.
143
159
.
176.
Allman
,
D. J.
, 1975, “
Calculation of the Elastic Buckling Loads of Thin Flat Plates Using Triangular Finite Element
,”
Int. J. Numer. Methods Eng.
,
9
, pp.
415
432
. 0029-5981
177.
Crisfield
,
M. A.
, 1973, “
Large Deflection Elasto-Plastic Buckling Analysis of Plates Using Finite Elements
,” TRRL Laboratory, Report No. 593.
178.
Crisfield
,
M. A.
, 1976, “
Large Deflection Elasto-Plastic Buckling Analysis of Eccentrically Stiffened Plates Using Finite Elements
,” TRRL Laboratory, Report No. 725.
179.
Crisfield
,
M. A.
, 1981, “
A Fast Incremental/Iterative Solution Procedure That Handles “Snap-Through”
,”
Comput. Struct.
0045-7949,
13
, pp.
55
62
.
180.
Crisfield
,
M. A.
, 1975, “
Full Range Analysis of Steel Plates and Stiffened Plating Under Uniaxial Compression
,”
Proc. Inst. Civ. Eng., Part 2. Res. Theory
0307-8361,
83
, pp.
595
624
.
181.
Crisfield
,
M.
, and
Puthli
,
R.
, 1976, “
A Finite Element Method Applied to the Collapse Analysis of Stiffened Box Girder Diaphragms
,”
Steel Plated Structures
,
P. J.
Dowling
, ed.,
Crosby Lockwood Staples
,
London
, pp.
311
337
.
182.
Rahal
,
K. N.
, 1991, “
Transversely Stiffened Girder Webs Subjected to Combined In-Plane Loading
,”
Proc. Inst. Civ. Eng., Part 2. Res. Theory
0307-8361,
91
, pp.
237
258
.
183.
Rahal
,
K. N.
, and
Harding
,
J. E.
, 1990, “
Transversely Stiffened Girder Webs Subjected to Shear Loading, Part I-Behaviour
,”
Proc. Inst. Civ. Eng., Part 2. Res. Theory
0307-8361,
89
, pp.
47
65
.
184.
Rahal
,
K. N.
, and
Harding
,
J. E.
, 1990, “
Transversely Stiffened Girder Webs Subjected to Shear Loading, Part II-Stiffener Design
,”
Proc. Inst. Civ. Eng., Part 2. Res. Theory
0307-8361,
89
, pp.
67
87
.
185.
Fafard
,
M.
,
Beaulieu
,
D.
, and
Dhatt
,
G.
, 1987, “
Buckling of Thin Walled Members by Finite Element Method
,”
Compos. Struct.
,
25
, pp.
183
190
. 0263-8223
186.
Komatsu
,
S.
,
Nara
,
S.
, and
Kitada
,
T.
, 1980, “
Elasto-Plastic Analysis of Orthogonally Stiffened Plates With Initial Imperfections Under Uniaxial Compression
,”
Comput. Struct.
0045-7949,
11
, pp.
429
437
.
187.
Guo
,
M.
, and
Harik
,
G.
, 1991, “
Finite Element Stability of Eccentrically Stiffened Plates
,”
Proceedings of the Mechanical Computing in 1990’s and Beyond
,
H.
Adeli
and
R.
Sierakowski
, eds., Vol.
2
, pp.
851
855
.
188.
Valsgard
,
S.
, 1980, “
Numerical Design Prediction of the Capacity of Plates in Biaxial In-Plane Compression
,”
Comput. Struct.
0045-7949,
12
(
5
), pp.
729
739
.
189.
Shastry
,
B. P.
,
Venkateswara Rao
,
G.
, and
Reddy
,
M. N.
, 1976, “
Stability of Stiffened Plates Using High Precision Finite Elements
,”
Nucl. Eng. Des.
,
36
, pp.
91
95
. 0029-5493
190.
Soreide
,
T. H.
,
Moan
,
T.
, and
Nordsve
,
N. T.
, 1978, “On the Behaviour and Design of Stiffened Plates in the Ultimate Limit Stat,” Int. J. Shipbuilding Progress, 22, pp. 238–244.
191.
Soreide
,
T. H.
,
Bergan
,
P. G.
, and
Moan
,
T.
, 1976, “
Ultimate Collapse Behaviour of Stiffened Plates Using Alternate F. E. Formulations
,”
Steel Plated Structures
,
P. J.
Dowling
, ed.,
Crosby Lockwood Staples
,
London
, pp.
618
632
.
192.
Kapur
,
K.
, and
Hartz
,
J.
, 1966, “
Stability of Plates Using FEM
,”
J. Struct. Div.
0044-8001,
92
, pp.
177
194
.
193.
Boren
,
E. M.
, and
Hansen
,
H. R.
, 1977, “
Buckling Design of Ship Structures
,”
Buckling of Structures, IUTAM Symposium
,
B.
Budiansky
, ed.,
Springer-Verlag
,
New York
, pp.
383
398
.
194.
Chan
,
Y. K.
and
Kabaila
,
A. P.
, 1973, “
A Conforming Quadrilateral Element for Buckling Analysis of Stiffened Plates
,” University of New South Wales, Report No. R-121.
195.
Gierlinski
,
J. T.
, and
Graves Smith
,
T. R.
, 1984, “
The Geometric Non-Linear Analysis of Thin-Walled Structures by Finite Strips
,”
Thin-Walled Struct.
0263-8231,
2
, pp.
27
50
.
196.
Kardestuncer
,
H.
and
Norrie
,
D. H.
, eds., 1988,
Finite Element Handbook
,
McGraw-Hill
,
New York
.
197.
Kawai
,
T.
, and
Yoshimura
,
N.
, 1969, “
Analysis of Large Deflection of Plates by the Finite Element Method
,”
Int. J. Numer. Methods Eng.
0029-5981,
1
, pp.
123
133
.
198.
Harding
,
J. E.
, 1983, “
Compressive Strength of Biaxially Loaded Plates
,”
Plated Structures, Stability and Strength
,
R.
Narayanan
, ed.,
Applied Science
,
London, UK
, pp.
221
255
.
199.
McBean
,
R. P.
, 1969, “
Analysis of Stiffened Plates by the Finite Element Method
,” Ph.D. thesis, Stanford University, Stanford, USA.
200.
Miller
,
R. E.
, 1980, “
Reduction in Error in Eccentric Beam Modelling
,”
Int. J. Numer. Methods Eng.
,
15
, pp.
575
582
. 0029-5981
201.
Murray
,
D. W.
, and
Wilson
,
E. L.
, 1969, “
Finite Element Postbuckling Analysis of Thin Elastic Plates
,”
AIAA J.
,
7
, pp.
1915
1920
. 0001-1452
202.
Murray
,
D. W.
, and
Wilson
,
E. L.
, 1969, “
Finite Element Large Deflection Analysis of Plates
,”
J. Struct. Div.
0044-8001,
95
(
1
), pp.
1285
1298
.
203.
Razaqpur
,
A. G.
, and
Li
,
H. G.
, 1991, “
A Finite Element With Exact Shape Functions for Shear Analysis in Multi-Cell Box Girders
,”
Comput. Struct.
,
39
, pp.
155
163
. 0045-7949
204.
Roberts
,
T. M.
, and
Ashwell
,
D. G.
, 1971, “
The Use of Finite Element Mid-Increment Stiffness Matrices in the Post-Buckling Analysis of Imperfect Structures
,”
Int. J. Solids Struct.
,
7
, pp.
805
823
. 0020-7683
205.
Pifko
,
A.
, and
Isakson
,
G.
, 1969, “
A Finite Element Method for the Plastic Buckling Analysis of Plates
,”
AIAA J.
0001-1452,
7
, pp.
1950
1957
.
206.
Ahmadian
,
M.
, and
Zangeneh
,
M. S.
, 2003, “
Application of Super Elements to Free Vibration Analysis of Laminated Stiffened Plates
,”
J. Sound Vib.
0022-460X,
259
(
5
), pp.
1243
1252
.
207.
Sadek
,
E.
, and
Tawfik
,
S.
, 2000, “
A Finite Element Model for the Analysis of Stiffened Laminated Plates
,”
Comput. Struct.
,
75
(
4
), pp.
369
383
. 0045-7949
208.
Cheung
,
Y. K.
, 1976,
Finite Strip Method in Structural Analysis
,
Pergamon
,
New York
.
209.
Cheung
,
Y. K.
, and
Delcourt
,
C.
, 1977, “
Buckling and Vibration of Thin Flat-Walled Structures Continuous Over Several Spans
,”
Proc. Inst. Civ. Eng., Part 2. Res. Theory
0307-8361,
61
, pp.
93
103
.
210.
Turvey
,
G. J.
, 1971, “
A Contribution to the Elastic Stability of Thin Walled Structures Fabricated From Isotropic and Orthotropic Materials
,” Ph.D. thesis, University of Birmingham, Birmingham, UK.
211.
Turvey
,
G. J.
, and
Wittrick
,
W. H.
, 1973, “
The Influence of Orthotropy on the Stability of Some Multi-Plate Structures in Compression
,”
Aeronaut. Q.
0001-9259,
24
, pp.
1
8
.
212.
Przemieniecki
,
J. S.
, 1968, “
Discrete—Element Methods for Stability Analysis of Complex Structures
,”
Aeronaut. J.
0001-9240,
72
, pp.
1077
1086
.
213.
Yoshida
,
H.
, and
Maegawa
,
K.
, 1979, “
Buckling Strength of Orthogonally Stiffened Plates
,”
J. Struct. Mech.
0360-1218,
7
, pp.
161
191
.
214.
Graves Smith
,
T. R.
, and
Sridharan
,
S.
, 1978, “
A Finite Strip Method for the Post-Locally-Buckled Analysis of Plate Structures
,”
Int. J. Mech. Sci.
0020-7403,
20
, pp.
685
693
.
215.
Sridharan
,
S.
, 1979, “
Poisson’s Effect on Buckling of Plate Assemblies
,”
J. Struct. Div.
0044-8001,
105
(
10
), pp.
1967
1980
.
216.
Hancock
,
G. J.
, 1985, “
Non-Linear Analysis of Thin Walled I-Section in Bending
,”
Aspects of the Analysis of Plate Structures; A Volume in Honour of W. H. Wittrick
,
D. J.
Dawe
, ed.,
Clarendon
,
Oxford
, pp.
251
267
.
217.
Hancock
,
G. J.
, 1981, “
Non-Linear Analysis of Thin Sections in Compression
,”
J. Struct. Div.
0044-8001,
107
(
3
), pp.
455
471
.
218.
Hancock
,
G. J.
, 1984, “Structural Buckling and Vibration Analyses on Microcomputers,” J. Inst. Eng., Austral., 26(4), pp. 327–332.
219.
Lau
,
S. C. W.
, and
Hancock
,
G. J.
, 1986, “
Buckling of Thin Flat-Walled Structures by Spline Finite Strip Method
,”
Thin-Walled Struct.
0263-8231,
4
, pp.
269
294
.
220.
Hancock
,
G. J.
,
Davids
,
A.
,
Key
,
P. W.
,
Laue
,
S. C. W.
, and
Rasmussen
,
J. R.
, 1990, “
Recent Developments in Buckling of Non-Linear Analysis of Thin Walled Structural Members
,”
Thin-Walled Struct.
0263-8231,
9
, pp.
309
338
.
221.
Bradford
,
M. A.
, and
Hancock
,
G. J.
, 1984, “
Elastic Interaction of Local and Lateral Buckling in Beams
,”
Thin-Walled Struct.
0263-8231,
2
, pp.
1
25
.
222.
Murray
,
N. W.
, and
Thierauf
,
G.
, 1983,
Tables for the Design and Analysis of Stiffened Steel Plates
,
Birkhauser
,
Switzerland
.
223.
Lavy
,
Y.
,
Yoseph
,
B.
, and
Rosenhouse
,
G.
, 1992, “
Mixed-Hybrid Finite Strip Method for Folded Plate Structures
,”
Comput. Struct.
,
42
, pp.
433
446
. 0045-7949
224.
Kakol
,
W.
, 1990, “
Stability Analysis of Stiffened Plates by Finite Strip
,”
Thin-Walled Struct.
0263-8231,
10
, pp.
277
297
.
225.
Ovesy
,
H.
,
Loughlan
,
J.
, and
Assaee
,
H.
, 2004, “
The Compressive Post-Local Bucking Behaviour of Thin Plates Using a Semi-Energy Finite Strip Approach
,”
Thin-Walled Struct.
0263-8231,
42
, pp.
449
474
.
226.
Shen
,
P. C.
,
Dade
,
H.
, and
Wang
,
Z.
, 1987, “
Static, Vibration and Stability Analysis of Stiffened Plates Using B-Spline Functions
,”
Comput. Struct.
0045-7949,
27
, pp.
73
78
.
227.
Wu
,
C. L.
, and
Cheung
,
Y. K.
, 1974, “
Frequency Analysis of Rectangular Plates Continuous in One or Two Directions
,”
Earthquake Eng. Struct. Dyn.
,
3
, pp.
1
14
. 0098-8847
228.
Evans
,
H. R.
, 1983, “
Longitudinally and Transversely Reinforce Plate Girders
,”
Plated Structures, Stability and Strength
,
R.
Narayanan
, ed.,
Applied Science
,
London, UK
, pp.
39
76
.
229.
Evans
,
H. R.
,
Peksa
,
D. O.
, and
Taherian
,
A. R.
, 1985, “
The Analysis of the Non-Linear and Ultimate Load of Structures by FEM
,”
Eng. Comput.
,
2
, pp.
271
284
. 0177-0667
230.
Bradford
,
M. A.
, 1989, “
Buckling of Longitudinally Stiffened Plates in Bending and Compression
,”
Can. J. Civ. Eng.
,
16
, pp.
607
614
. 0315-1468
231.
Cheung
,
Y. K.
, and
Fan
,
S. C.
, 1983, “
Static Analysis of Right Box Girder Bridges by Spline Finite Strip Method
,”
Proc. Inst. Civ. Eng., Part 2. Res. Theory
0307-8361,
75
, pp.
311
323
.
232.
Wittrick
,
W. H.
, 1968, “
A Unified Approach to the Initial Buckling of Stiffened Panels in Compression
,”
Aeronaut. Q.
0001-9259,
19
, pp.
265
283
.
233.
Wittrick
,
W. H.
, 1968, “
General Sinusoidal Stiffness Matrices for Buckling and Vibration Analysis of Thin Flat-Walled Structures
,”
Int. J. Mech. Sci.
,
10
, pp.
949
966
. 0020-7403
234.
Wittrick
,
W. H.
, and
Curzon
,
P. L.
, 1969, “
Buckling of a Long Flat Panel With a Series of Equidistant Longitudinal Supports in Combined Longitudinal Compression and Shear
,”
Aeronaut. Q.
0001-9259,
20
, pp.
17
24
.
235.
Wittrick
,
W. H.
, and
Curzon
,
P. L.
, 1968, “
Local Buckling of Long Polygonal Tubes in Combined Compression and Torsion
,”
Int. J. Mech. Sci.
,
10
, pp.
849
857
. 0020-7403
236.
Wittrick
,
W. H.
, and
Curzon
,
P. L.
, 1968, “
Stability Functions for the Local Buckling of Thin Flat-Walled Structures With Walls in Combined Shear and Compression
,”
Aeronaut. Q.
0001-9259,
19
, pp.
327
351
.
237.
Plank
,
R.
, and
Wittrick
,
W.
, 1974, “
Buckling Under Combined Loading of Thin Flat-Walled Structures by a Complex Finite Strip Method
,”
Int. J. Numer. Methods Eng.
0029-5981,
8
, pp.
323
339
.
238.
Plank
,
R. J.
, and
Williams
,
F. W.
, 1974, “
Critical Buckling of Some Stiffened Panels in Compression, Shear and Bending
,”
Aeronaut. Q.
0001-9259,
25
, pp.
165
179
.
239.
Anderson
,
M. S.
,
Williams
,
F. W.
, and
Wright
,
C. J.
, 1983, “
Buckling and Vibration of Any Prismatic Assembly of Shear and Compression Loaded Anisotropic Plates With an Arbitrary Supporting Structure
,”
Int. J. Mech. Sci.
0020-7403,
25
, pp.
585
596
.
240.
Anderson
,
M. S.
, and
Williams
,
F. W.
, 1985, “
Buckling of Simply Supported Plate Assemblies Subject to Shear Loading
,”
Aspects of the Analysis of Plate Structures; A Volume in Honour of W. H. Wittrick
,
D.
Dawe
, ed.,
Clarendon
,
Oxford
, pp.
51
71
.
241.
Stroud
,
W.
, and
Agranoff
,
N.
, 1977, “
Minimum-Mass Design of Filamentary Composite Panels Under Combined Loads: Design Procedure Based on Simplified Buckling Equations
,”
NASA
Report No. TN D8257.
242.
Stroud
,
W. J.
, and
Anderson
,
M. S.
, 1980, “
PASCO: Structural Panel Analysis and Sizing Code Capability and Analytical Foundations
,”
NASA
Report No. TM 80181.
243.
Stroud
,
W. J.
,
Green
,
W. H.
, and
Anderson
,
M. S.
, 1981, “
Buckling Loads for Stiffened Panels Subjected to Combined Longitudinal Compression and Shear Loadings: Results Obtained With PASCO, EAL and STAGS Computer Programs
,”
NASA
Report No. TM 83194.
244.
Mahendran
,
M.
, and
Murray
,
N. W.
, 1986, “
Elastic Buckling Analysis of Ideal Thin-Walled Structures Under Combined Loading Using a Finite Strip Method
,”
Thin-Walled Struct.
0263-8231,
4
, pp.
329
362
.
245.
Harik
,
I.
, and
Salamoun
,
G.
, 1988, “
The Analytical Strip Method of Solution for Stiffened Rectangular Plates
,”
Comput. Struct.
,
29
, pp.
283
291
. 0045-7949
246.
Wang
,
X.
, and
Rammerstorfer
,
F.
, 1996, “
Determination of Effective Breadth and Effective Width of Stiffened Plates by Finite Strip Analyses
,”
Thin-Walled Struct.
0263-8231,
26
, pp.
261
286
.
247.
Chan
,
H. C.
,
Cai
,
C. W.
, and
Cheung
,
Y. K.
, 1991, “
A Static Solution of Stiffened Plates
,”
Thin-Walled Struct.
0263-8231,
11
, pp.
291
303
.
248.
Rushton
,
K. R.
, 1972, “
Buckling of Laterally Loaded Plates Having Initial Curvature
,”
Int. J. Mech. Sci.
,
14
, pp.
667
680
. 0020-7403
249.
Elsharkawi
,
K.
, and
Walker
,
A. C.
, 1980, “
Buckling of Multibay Stiffened Plate Panels
,”
J. Struct. Div.
0044-8001,
105
(
8
), pp.
1695
1714
.
250.
McElman
,
J. A.
,
Mikulas
,
M. M.
, Jr.
, and
Stein
,
M.
, 1966, “
Static and Dynamic Effects of Eccentric Stiffening of Plates and Cylindrical Shells
,”
AIAA J.
,
4
, pp.
887
894
. 0001-1452
251.
Moradi
,
B.
, 1991, “
A Comparison Modelling Technique for Buckling of Stiffened Shells
,”
Proceedings of the Mechanical Computing in 1990’s and Beyond
,
H.
Adeli
and
R.
Sierakowski
, eds., Vol.
2
, pp.
857
860
.
252.
Almroth
,
B.
,
Deluzio
,
A.
, and
Stuhlman
,
C.
, 1966, “
Influence of Stiffener Eccentricity and End Moment on Stability of Cylinders in Compression
,”
AIAA J.
0001-1452,
4
(
5
), pp.
872
877
.
253.
Scharde
,
H. A.
, 1940, “
The Orthogonally Stiffened Plate Under Uniform Lateral Load
,”
ASME J. Appl. Mech.
,
62
, pp.
A143
A146
. 0021-8936
254.
Dean
,
D.
, and
Omid’varan
,
C.
, 1969, “
Analysis of Ribbed Plates
,”
J. Struct. Div.
0044-8001,
95
, pp.
411
442
.
255.
Dean
,
D. L.
, and
Abdel-Malek
,
R. A.
, 1974, “
Rational Analysis of Orthotropic Bridge Decks
,”
Int. J. Mech. Sci.
,
16
, pp.
173
192
. 0020-7403
256.
Dean
,
D. L.
, and
Avent
,
R. R.
, 1975, “Analysis of Metal Plate-Stringer Bridge Decks,” International Association for Bridge and Structural Engineering, 35, pp. 45–64.
257.
Dean
,
D. L.
, and
Gangarao
,
A. M.
, 1971, “
Macro Approach to Discrete Field Analysis
,”
J. Struct. Div.
0044-8001,
96
, pp.
377
394
.
258.
Bounin
,
K.
, 1975, “
Discrete Field Stability Analysis of Ribbed Plates
,” Ph.D. thesis, Georgia Institute of Technology, Atlanta, GA.
259.
Avent
,
R.
, and
Bounin
,
D.
, 1976, “
Discrete Field Stability Analysis of Ribbed Plates
,”
J. Struct. Div.
0044-8001,
102
, pp.
1917
1937
.
260.
Djahni
,
P.
, 1974, “
Large-Deflection Elasto-Plastic Analysis of Discretely Stiffened Plates
,” Ph.D. thesis, Imperial College of Science and Technology, London, UK.
261.
Basu
,
A.
,
Djahani
,
P.
, and
Dowling
,
P. J.
, 1977, “
Elastic Post-Buckling Behaviour of Discretely Stiffened Plates
,”
Proceedings of the Second International Colloquium on Stability of Steel Structures
, Liege, pp.
433
438
.
262.
Webb
,
S. E.
, 1980, “
Stiffened Plating Under Combined In-Plane and Lateral Loading
,” Ph.D. thesis, Imperial College of Science and Technology, London, UK.
263.
Webb
,
S. E.
, and
Dowling
,
P. J.
, 1979, “
Large Deflection Elasto-Plastic Behaviour of Discretely Stiffened Plates
,”
Proc. Inst. Civ. Eng., Part 2. Res. Theory
0307-8361,
63
, pp.
444
458
.
264.
Qing
,
G.
,
Qiu
,
J.
, and
Liu
,
Y.
, 2006, “
Free Vibration Analysis of Stiffened Laminated Plates
,”
Int. J. Solids Struct.
,
43
, pp.
1357
1371
. 0020-7683
265.
Viswanathan
,
A.
,
Soong
,
T.
, and
Miller
,
R.
, 1972, “
Buckling Analysis for Structural Sections and Stiffened Plates Reinforced With Laminated Composites
,”
Int. J. Solids Struct.
,
8
, pp.
347
367
. 0020-7683
266.
Yukio
,
U.
,
Rashed
,
S. M. H.
, and
Paik
,
J. K.
, 1987, “
An Incremental Galerkin Method for Plates and Stiffened Plates
,”
Comput. Struct.
,
27
, pp.
147
156
. 0045-7949
267.
Peng
,
L.
, and
Kitipornchai
,
S.
, 2006, “
Buckling and Free Vibration Analyses of Stiffened Plates Using the FSDT Mesh-Free Method
,”
J. Sound Vib.
,
289
, pp.
421
449
. 0022-460X
268.
Siddiqi
,
Z.
, and
Kukreti
,
A.
, 1998, “
Analysis of Eccentrically Stiffened Plates With Mixed Boundary Conditions Using Differential Quadrature Method
,”
Appl. Math. Model.
,
22
, pp.
251
275
. 0307-904X
269.
Zeng
,
H.
, and
Bertt
,
C. W.
, 2001, “
A Differential Quadrature Analysis of Vibration for Rectangular Stiffened Plates
,”
J. Sound Vib.
0022-460X,
241
(
2
), pp.
247
252
.
270.
Tanaka
,
M.
, and
Bercin
,
A.
, 1998, “
Static Bending Analysis of Stiffened Plates Using the Boundary Element Method
,”
Eng. Anal. Boundary Elem.
,
21
, pp.
147
154
. 0955-7997
271.
Wen
,
P.
,
Aliabadi
,
M.
, and
Young
,
A.
, 2002, “
Boundary Element Analysis of Shear Deformable Stiffened Plates
,”
Eng. Anal. Boundary Elem.
,
26
(
6
), pp.
511
520
. 0955-7997
272.
Graciano
,
C.
, and
Lagerqvist
,
O.
, 2003, “
Critical Buckling of Longitudinally Stiffened Webs Subjected to Compressive Edge Loads
,”
J. Constr. Steel Res.
,
59
, pp.
1119
1146
. 0143-974X
273.
Kirk
,
C. L.
, 1970, “
Natural Frequency of Stiffened Rectangular Plates
,”
J. Sound Vib.
,
13
, pp.
375
388
. 0022-460X
274.
Long
,
B. R.
, 1971, “
A Stiffness-Type Analysis of the Vibration of a Class of Stiffened Plates
,”
J. Sound Vib.
0022-460X,
16
, pp.
323
335
.
275.
Mead
,
D. J.
,
Zhu
,
D. C.
, and
Bardell
,
N. S.
, 1988, “
Free Vibration of Orthogonally Stiffened Flat Plate
,”
J. Sound Vib.
0022-460X,
127
, pp.
19
48
.
276.
Schmidt
,
J. H.
,
Yurkovich
,
R. N.
, and
Zak
,
A. R.
, 1971, “
Dynamic Analysis of Stiffened Panel Structures
,”
J. Aircr.
,
8
, pp.
149
155
. 0021-8669
277.
Brown
,
C. J.
, and
Yettram
,
A. L.
, 1986, “
The Elastic Stability Using the Conjugate Load/Displacement Method
,”
Comput. Struct.
,
23
, pp.
385
391
. 0045-7949
278.
Gopalacharyulu
,
S.
, 1963, “
A Combined Method for Clamped Plates Using Modified Fourier Series
,”
ASME J. Appl. Mech.
,
30
, pp.
627
678
. 0021-8936
279.
Pickett
,
G.
, and
Gopalacharyulu
,
S.
, 1962, “
Modified Fourier Series for Clamped Beams and Plates
,”
ASME J. Appl. Mech.
,
29
, pp.
204
205
. 0021-8936
280.
Rossow
,
M. P.
, and
Ibrahimkhail
,
A. K.
, 1978, “
Constraint Method for the Analysis of Stiffened Plates
,”
Comput. Struct.
0045-7949,
8
, pp.
51
60
.
281.
Bedair
,
O.
, 1997, “
The Application of Mathematical Programming Techniques to Stability Analysis of Plate/Stiffener Assemblies
,”
Comput. Methods Appl. Mech. Eng.
0045-7825,
148
(
3–4
), pp.
353
365
.
282.
Bedair
,
O.
, 1999,
An Efficient Modelling Strategy for Analysis of Stiffened Plates and Shell Components
,
Civil Engineering Department, Concordia University
,
Montreal, Canada
.
283.
Bedair
,
O.
, 1997, “
Analysis of Stiffened Plates Under Lateral Loading Using Sequential Quadratic Programming Techniques
,”
Comput. Struct.
0045-7949,
62
, pp.
63
80
.
284.
Bedair
,
O.
, 2002, “
Numerical Modelling Techniques for Stability Analysis of Thin Walled Stiffened Plates and Shells
,” Technical Report for J&P Limited, Report No. JNP-02-18.
285.
Merrison Committee
, 1973,
Inquiry Into the Basis of Design and Method of Erection of Steel Box Girder Bridges
, Interior Design and Workmanship Rules, London.
286.
Horne
,
M. R.
, and
Narayanan
,
R.
, 1975, “
An Approximate Method For The Design Of Stiffened Steel Compression Panels
,”
Proc. Inst. Civ. Eng., Part 2. Res. Theory
0307-8361,
59
, pp.
501
514
.
287.
Horne
,
M. R.
, and
Narayanan
,
R.
, 1976, “Strength of Axially Loaded Stiffened Panels,” International Association for Bridge and Structural Engineering, 36, pp. 125–157.
288.
Horne
,
M. R.
, and
Narayanan
,
R.
, 1976, “
Ultimate Strength of Stiffened Panels Under Uniaxial Compression
,”
Steel Plated Structures
,
P. J.
Dowling
, et al.
, eds.,
Crosby Lockwood Staples
,
London
, pp.
24
50
.
289.
Horne
,
M. R.
, and
Narayanan
,
R.
, 1977, “
Design of Axially Loaded Stiffened Plates
,”
J. Struct. Div.
0044-8001,
103
(
11
), pp.
2243
2257
.
290.
Horne
,
M.
, and
Montague
,
P.
, 1977, “
Influence on Strength of Compression Panels of Stiffener Section, Spacing and Welded Connections
,”
Proc. Inst. Civ. Eng., Part 2. Res. Theory
0307-8361,
85
, pp.
1
21
.
291.
Horne
,
M. R.
, and
Narayanan
,
R.
, 1976, “
The Strength of Straitened Welded Steel Stiffened Plates
,”
Struct. Eng.
0039-2553,
54
, pp.
437
443
.
292.
Dwight
,
J. B.
, and
Little
,
G. H.
, 1976, “
Stiffened Steel Compression Flanges-A Simpler Approach
,”
Struct. Eng.
0039-2553,
54
, pp.
501
505
.
293.
Tulk
,
J. D.
, and
Walker
,
A. C.
, 1976, “
Model Studies of the Elastic Buckling of a Stiffened Plate
,”
J. Strain Anal. Eng. Des.
0309-3247,
11
, pp.
137
143
.
294.
Narayanan
,
R.
, and
Chow
,
F. Y.
, 1983, “
Effective Widths of Plates Loaded Uniaxially
,”
Thin-Walled Struct.
0263-8231,
1
, pp.
165
187
.
295.
Narayanan
,
R.
, and
Chow
,
F. Y.
, 1985, “
Effect of Support Conditions on Plate Strengths
,”
J. Struct. Eng.
0044-8001,
111
, pp.
175
189
.
296.
Narayanan
,
R.
, and
Chow
,
F. Y.
, 1982, “
Araldite Models for the Study of Elastic Stability of Plates
,”
J. Strain Anal. Eng. Des.
0309-3247,
17
, pp.
113
121
.
297.
Narayanan
,
R.
, and
Shanmgam
,
N. E.
, 1983, “
Compressive Strength of Biaxially Loaded Plates
,”
Plated Structures, Stability and Strength
,
R.
Narayanan
, ed.,
Applied Science
,
London, UK
, pp.
195
219
.
298.
Murray
,
N. W.
, 1975, “
Analysis and Design of Stiffened Plates for Collapse Load
,”
Struct. Eng.
0039-2553,
53
, pp.
153
158
.
299.
Murray
,
N. W.
, 1973, “
Buckling of Stiffened Panels Loaded Axially in Bending
,”
Struct. Eng.
0039-2553,
51
, pp.
285
301
.
300.
Murray
,
N. W.
, 1973, “The Behaviour of Thin Stiffened Steel Plates,” International Association for Bridge and Structural Engineering, 33, pp. 191–201.
301.
Murray
,
N. W.
, 1983, “
Ultimate Capacity of Stiffened Plates in Compression
,”
Plated Structures, Stability and Strength
,
R.
Narayanan
, ed.,
Applied Science
,
London, UK
, pp.
135
163
.
302.
Murray
,
N. W.
, 1981, “
Some Basic Plastic Mechanisms in Thin Walled Structures
,”
Int. J. Mech. Sci.
0020-7403,
23
, pp.
703
713
.
303.
Dowling
,
P. J.
, 1975, “
Strength of Steel Box Girders
,”
J. Struct. Div.
,
101
(
9
), pp.
1929
1945
. 0044-8001
304.
Dowling
,
P. J.
,
Moolani
,
F. M.
, and
Frieze
,
P. A.
, 1976, “
The Effect of Shear Lag on the Ultimate Strength of Box Girders
,”
Steel Plated Structures
,
P. J.
Dowling
, ed.,
Crosby Lockwood Staples
,
London
, pp.
108
141
.
305.
Dowling
,
P. J.
,
Harding
,
J.
, and
Agelidis
,
N.
, 1983, “
Collapse of Box Girder Stiffened Webs
,” Instability and Plastic Collapse of Steel Structures, pp.
380
389
.
306.
Dowling
,
P. J.
,
Chatterjee
,
S.
,
Frieze
,
P. A.
, and
Moolani
,
F. M.
, 1973, “
Experimental and Predicted Collapse Behaviour of Rectangular and Trapezoidal Stiffened Steel Box Girders
,”
Proc. Inst. Civ. Eng., Part 2. Res. Theory
0307-8361,
57
, pp.
77
94
.
307.
Dowling
,
P. J.
,
Loe
,
J. A.
, and
Dean
,
J. A.
, 1973, “
The Behaviour up to Collapse of Load Bearing Diaphragms in Rectangular and Trapezoidal Stiffened Steel Box Girders
,”
Proc. Inst. Civ. Eng., Part 2. Res. Theory
0307-8361,
57
, pp.
95
117
.
308.
Burgan
,
B. A.
, 1987, “
Special Problems in Wide and Narrow Stiffened Compression Flanges
,” Ph.D. thesis, Imperial College of Science and Technology, London, UK.
309.
Burgan
,
B. A.
, and
Dowling
,
P. J.
, 1990, “
The Treatment of Shear Lag in Design
,”
Thin-Walled Struct.
0263-8231,
9
, pp.
163
174
.
310.
Moolani
,
F. M.
, 1980, “
Stiffened Plating Under Combined In-Plane and Lateral Loading
,” Ph.D. thesis, Imperial College of Science and Technology, London, UK.
311.
Moolani
,
F. M.
, and
Dowling
,
P. J.
, 1976, “
Ultimate Load Behaviour of Stiffened Plates in Compression
,”
Steel Plated Structures
,
P. J.
Dowling
, ed.,
Crosby Lockwood Staples
,
London
, pp.
51
88
.
312.
Chatterjee
,
S.
, 1978, “
Ultimate Load Analysis and Design of Stiffened Plates in Compression
,” Ph.D. thesis, Imperial College of Science and Technology, London, UK.
313.
Lamas
,
A. R.
, and
Dowling
,
P. J.
, 1980, “
Effect of Shear Lag on the Inelastic Buckling Behaviour of Thin-Walled Structures
,”
Thin-Walled Struct.
0263-8231,
1
, pp.
61
66
.
314.
Moffat
,
K. R.
, and
Dowling
,
P. J.
, 1975, “
Shear Lag in Box Girders
,”
Struct. Eng.
0039-2553,
53
, pp.
439
448
.
315.
Frieze
,
P. A.
, 1978, “
Elasto-Plastic Buckling in Thin-Walled Beams and Columns
,”
Proc. Inst. Civ. Eng., Part 2. Res. Theory
0307-8361,
65
, pp.
857
874
.
316.
Frieze
,
P. A.
, and
Dowling
,
P. J.
, 1978, “
Interactive Buckling Analysis of Box Sections Using Dynamic Relaxation
,”
Comput. Struct.
,
9
, pp.
431
439
. 0045-7949
317.
Frieze
,
P. A.
,
Hobbs
,
R. E.
, and
Dowling
,
P. J.
, 1978, “
Application of Dynamic Relaxation to the Large Deflection Elasto-Plastic Analysis of Plates
,”
Comput. Struct.
,
8
, pp.
301
310
. 0045-7949
318.
Dean
,
J. A.
, and
Dowling
,
P. J.
, 1976, “
Ultimate Load Tests on Three Stiffened Plates Under Combined In Plane and Lateral Loading
,”
Steel Plated Structures
,
P. J.
Dowling
, ed.,
Crosby Lockwood Staples
,
London
, pp.
743
763
.
319.
Dorman
,
A. P.
, and
Dwight
,
J. B.
, 1973, “
Tests on Stiffened Compression Plates and Plate Panels
,”
Proc. Inst. Civ. Eng., Part 2. Res. Theory
0307-8361,
57
, pp.
63
75
.
320.
Massonnet
,
C.
, and
Maquoi
,
R.
, 1973, “
New Theory and Tests on the Ultimate Strength of Stiffened Box Girders
,”
Proc. Inst. Civ. Eng., Part 2. Res. Theory
0307-8361,
57
, pp.
131
144
.
321.
Jetteur
,
P.
, 1983, “
A New Design Method for Stiffened Compression Flanges of Box Girders
,”
Thin-Walled Struct.
0263-8231,
1
, pp.
189
210
.
322.
Sherbourne
,
A. N.
,
Liaw
,
C. Y.
, and
Marsh
,
C.
, 1971, “Stiffened Plates in Uniaxial Compression,” International Association for Bridge and Structural Engineering, 31, pp. 145–177.
323.
Canadian Standards Association
, 1983, “
Strength Design in Aluminum
,” Report No. CAN3-S157-M83.
324.
Murray
,
N. W.
, and
Katzer
,
W.
, 1983, “
The Collapse Behaviour of Stiffened Steel Plates Which Have High Aspect Ratios Under Axial Compression
,” Instability and Plastic Collapse of Steel Structures,
L. J.
Morris
, ed., Vol.
1
, pp.
432
445
.
325.
Bedair
,
O.
, 1998, “
A Contribution to the Stability of Stiffened Plates Under Uniform Compression
,”
Comput. Struct.
0045-7949,
66
(
5
), pp.
535
570
.
326.
Bedair
,
O.
, 1997, “
The Elastic Behaviour of Multi-stiffened Plates Under Uniform Compression
,”
Thin-Walled Struct.
0263-8231,
27
(
4
), pp.
311
335
.
327.
Bedair
,
O.
, 1996, “
Influence of Stiffener Location on the Stability of Stiffened Plates Under Compression and In-Plane Bending
,”
Int. J. Mech. Sci.
0020-7403,
38
(
1
), pp.
33
49
.
328.
Fukumoto
,
Y.
,
Usami
,
T.
, and
Yamaguchi
,
K.
, 1977, “
Inelastic Buckling Strength of Stiffened Plates in Compression
,”
IABSE Proceedings
No. P-8/77, pp.
1
15
.
329.
Benussi
,
F.
, and
Puhali
,
R.
, 1983, “
Shear Strength of Thin-Walled Girders With Stiffened Flanges
,” Instability and Plastic Collapse of Steel Structures,
L. J.
Morris
, ed., Vol.
1
, pp.
342
351
.
330.
Horne
,
M. R.
,
Benussi
,
F.
, and
Puhali
,
R.
, 1983, “
Strength of Thin-Walled Plates
,” Instability and Plastic Collapse of Steel Structures,
L. J.
Morris
, ed., Vol.
1
, pp.
342
351
.
331.
Massonnet
,
C.
, 1968, Thin Walled Deep Plate Girders,
IABSE
, Vol.
1
, pp.
194
208
.
332.
Bradfield
,
C. D.
, 1980, “
Tests on Plates in In-Plane Compression
,”
J. Constr. Steel Res.
,
1
, pp.
27
37
. 0143-974X
333.
Karnikova
,
I.
, and
Skould
,
M.
, 1989, “
Experimental Research on the Ultimate Load Behaviour of Steel Plated Structures
,”
J. Constr. Steel Res.
,
12
, pp.
19
31
. 0143-974X
334.
Jetteur
,
P.
, and
Massonnet
,
R. C.
, 1983, “
Simulation of the Behaviour of Stiffened Box Girders With and Without Shear Lag
,”
Thin-Walled Struct.
0263-8231,
1
, pp.
211
237
.
335.
Maquoi
,
R.
, and
Massonnet
,
C.
, 1976, “
Interaction Between Shear Lag and Post Buckling Behaviour in Box Girders
,”
Steel Plated Structures
,
P. J.
Dowling
, ed.,
Crosby Lockwood Staples
,
London
, pp.
89
107
.
336.
Rerkshanandana
,
N.
,
Usami
,
T.
, and
Karasudhi
,
P.
, 1981, “
Ultimate Strength of Eccentrically Loaded Steel Plates and Box Sections
,”
Comput. Struct.
,
13
, pp.
467
481
. 0045-7949
337.
Maeda
,
Y.
, and
Okura
,
I.
, 1984, “
Fatigue Strength of Plate Girder in Bending Considering Out of Plane Deformation of Web
,”
J. Struct. Eng.
0733-9445,
1
, pp.
149
159
.
338.
Okura
,
I.
,
Yen
,
B. T.
, and
Fisher
,
J. W.
, 1993, “
Fatigue of Thin-Walled Plate Girders
,”
Struct. Eng. Int. (IABSE, Zurich, Switzerland)
,
1
, pp.
39
44
. 1016-8664
339.
Smith
,
C. S.
,
Anderson
,
N.
,
Chapman
,
P. C.
,
Davidson
,
P. C.
, and
Dowling
,
P. J.
, 1991, “
Strength of Stiffened Plating Under Combined Compression and Lateral Pressure
,”
Trans. RINA
0035-8967,
4
, pp.
1
13
.
340.
Smith
,
C. S.
, 1985, “
Compressive Strength of Transversely Stiffened FRP Panels
,”
Aspects of the Analysis of Plate Structures; A Volume in Honour of W. H. Wittrick
,
D. J.
Dawe
, ed.,
Clarendon
,
Oxford
, pp.
149
174
.
341.
Smith
,
C. S.
, and
Kirkwood
,
W.
, 1976, “
Influence of Initial Deformations and Residual Stress on Inelastic Flexural Buckling of Stiffened Plates and Shells
,”
Steel Plated Structures
,
P. J.
Dowling
, ed.,
Crosby Lockwood Staples
,
London
, pp.
838
864
.
342.
Smith
,
D. W.
, 1976, “
Bridge Failures
,”
Proc. Inst. Civ. Eng., Part 2. Res. Theory
0307-8361,
60
, pp.
367
382
.
343.
Rockey
,
K. C.
, and
Cook
,
I. T.
, 1965, “
Optimum Reinforcement by Two Longitudinal Stiffeners of a Plate Subjected to Pure Bending
,”
Int. J. Solids Struct.
,
1
, pp.
79
92
. 0020-7683
344.
Rockey
,
K. C.
, 1964, “
Influence of Stiffener Thickness and Rivet Position Upon the Effectiveness of Single Sided Stiffeners on Shear Webs
,”
Aeronaut. Q.
0001-9259,
15
, pp.
97
106
.
345.
Rockey
,
K. C.
,
Evans
,
H. R.
, and
Porter
,
D. M.
, 1973, “
The Ultimate Load Capacity of Stiffened Webs Subjected to Shear and Bending
,”
Proc. Inst. Civ. Eng., Part 2. Res. Theory
0307-8361,
81
, pp.
45
61
.
346.
Richards
,
D. M.
, 1976, “
Optimum Design of Stiffened Shear Webs With Supplementary Skin Stabilization
,”
Int. J. Solids Struct.
,
12
, pp.
791
802
. 0020-7683
347.
Rothwell
,
A.
, 1978, “
A Design Space Representation of Stiffened Shear Webs
,”
Aeronaut. J.
,
82
, pp.
358
363
. 0020-7683
348.
Rothwell
,
A.
, 1985, “
On the Efficiency of Stiffened Panels, With Application to Shear Web Design
,”
Aspects of the Analysis of Plate Structures; A Volume in Honour of W. H. Wittrick
,
D. J.
Dawe
, ed.,
Clarendon
,
Oxford
, pp.
105
125
.
349.
Manolakos
,
D.
, and
Mamalis
,
A.
, 1988, “
Limit Analysis for Laterally Loaded Stiffened Plates
,”
Int. J. Mech. Sci.
,
30
, pp.
441
447
. 0020-7403
350.
Boot
,
J.
, and
Moore
,
D.
, 1988, “
Stiffened Plates Subject to Transverse Loading
,”
Int. J. Solids Struct.
0020-7683,
24
, pp.
89
104
.
351.
Ellinas
,
C. P.
, and
Croll
,
J. G. A.
, 1989, “
The Basis of a Design Approach for Stiffened Plates
,”
Int. J. Solids Struct.
,
25
, pp.
751
768
. 0020-7683
352.
Farkas
,
J.
, 1986, “
Remarks to Design Problems of Stiffened Plate Structures
,” Regional Colloquium on Stability of Steel Structures,
M.
Ivanyi
, ed., Hungary, Vol.
1
, pp.
757
759
.
353.
Faulkner
,
D.
, 1976, “
Compression Tests on Welded Eccentrically Stiffened Panels
,”
Steel Plated Structures
,
P. J.
Dowling
, ed.,
Crosby Lockwood Staples
,
London
, pp.
581
617
.
354.
Faulkner
,
D.
, 1980, “
Effect of Residual Stresses on the Ductile Strength of Plane Welded Grillages and of Ring Stiffened Cylinders
,”
J. Constr. Steel Res.
,
1
, pp.
27
37
. 0143-974X
355.
Fujikubo
,
M.
, and
Yao
,
T.
, 1999, “
Elastic Local Buckling Strength of Stiffened Plate Considering Plate/Stiffener Interaction and Welding Residual Stress
,”
Mar. Struct.
,
12
, pp.
543
562
. 0951-8339
356.
Fujikubo
,
M.
, and
Kaeding
,
P.
, 2002, “
New Simplified Approach to Collapse Analysis of Stiffened Plates
,”
Mar. Struct.
,
15
(
3
), pp.
251
283
. 0951-8339
357.
Guedes Soares
,
C.
, 1988, “
A Code Requirement for the Compressive Strength of Plate Elements
,”
Mar. Struct.
,
1
, pp.
71
80
. 0951-8339
358.
Massonnet
,
C.
, 1983, “
Recent Research in Western Europe and Developments in the European Codes
,”
Proceedings of the Third International Colloquium of Stability of Metal Structures
,
SSRC
,
Toronto, Canada
.
359.
Balaz
,
I.
, 1986, “
On the Limit State of the Stiffened Compression Flanges of Steel Bridges
,” Regional Colloquium on Stability of Steel Structures,
M.
Ivanyi
, ed., Hungary, Vol.
1
, pp.
731
739
.
360.
Bedair
,
O.
, and
Sherbourne
,
A. N.
, 1993, “
Stability of Stiffened Plates Under Combined Compression and In-Plane Bending
,”
Proceedings of the 11th Canadian Society for Civil Engineers Conference
, Vol.
4
, pp.
129
138
.
361.
Dubas
,
P.
, 1976, “
Plated Structures With Closed-Section Stiffeners
,”
Steel Plated Structures
,
P. J.
Dowling
,
J. E.
Harding
, and
P.
Frieze
, eds.,
Crosby Lockwood Staples
,
London
, pp.
265
283
.
362.
George
,
D.
,
Michelutti
,
W. M.
, and
Murray
,
N. W.
, 1980, “
Studies of Some Steel Plates Stiffened With Bulb-Flats or With Troughs
,”
Thin-Walled Struct.
0263-8231,
1
, pp.
61
66
.
363.
Caridis
,
P. A.
, 1988, “
Interactive Flexural-Torsional Buckling Behaviour of Stiffened Plating
,”
Mar. Struct.
,
1
, pp.
115
138
. 0951-8339
364.
Ronalds
,
B. F.
, 1989, “
Local Buckling Interaction Between Plating and Attached Stiffeners
,”
Struct. Eng.
1466-5123,
67
, pp.
291
299
.
365.
Ronalds
,
B. F.
, 1989, “
Torsional Buckling and Tripping Strength of Slender Flat Bar Stiffeners in Steel Plating
,”
Proc. Inst. Civ. Eng., Part 2. Res. Theory
,
87
, pp.
583
604
. 0020-3262
366.
Li
,
L.
, and
Bettess
,
P.
, 1997, “
Buckling of Stiffened Plates and Design of Stiffeners
,”
Int. J. Pressure Vessels Piping
0308-0161,
74
(
3
), pp.
177
187
.
367.
Becker
,
H.
, and
Gerard
,
G.
, 1963, “
Measurement of Torsional Rigidity of Stiffened Plates
,”
NASA
Report No. TN. D 2007.
368.
Desmond
,
T. P.
,
Pekoz
,
T.
, and
Winter
,
G.
, 1981, “
Edge Stiffeners of Thin Walled Members
,”
J. Struct. Div.
0044-8001,
107
(
2
), pp.
329
353
.
369.
Desmond
,
T. P.
,
Pekoz
,
T.
, and
Winter
,
G.
, 1981, “
Intermediate Stiffeners of Thin Walled Members
,”
J. Struct. Div.
0044-8001,
107
(
4
), pp.
627
648
.
370.
Sharp
,
M. L.
, 1966, “
Longitudinal Stiffeners for Compression Members
,”
J. Struct. Div.
0044-8001,
92
(
5
), pp.
187
211
.
371.
Dawson
,
R. G.
, and
Walker
,
A. C.
, 1972, “
Post Buckling of Geometrically Imperfect Panels
,”
J. Struct. Div.
0044-8001,
98
(
1
), pp.
75
94
.
372.
Abdel Sayed
,
G.
, 1969, “
Effective Width of Thin Plates in Compression
,”
J. Struct. Div.
0044-8001,
95
(
10
), pp.
2183
2203
.
373.
Abdel Sayed
,
G.
, 1969, “
Effective Width of Steel Deck Plate in Bridges
,”
J. Struct. Div.
0044-8001,
95
(
7
), pp.
1459
1474
.
374.
Roorda
,
J.
, and
Venkataramaiah
,
K.
, 1979, “
Effective Width of Stiffened Cold Formed Steel Plates
,”
Can. J. Civ. Eng.
,
6
, pp.
381
389
. 0315-1468
375.
Faulkner
,
D.
, 1975, “
A Review of Effective Plating for Use in the Analysis of Stiffened Plating in Bending and Compression
,”
J. Ship Res.
0022-4502,
19
, pp.
1
17
.
376.
Vilnay
,
O.
, and
Rocky
,
K. C.
, 1981, “
A Generalized Effective Width Method for Plates Loaded in Compression
,”
J. Constr. Steel Res.
0143-974X,
1
, pp.
3
12
377.
Schmit
,
L. A.
,
Goble
,
G.
,
Fox
,
R. L.
,
Lasdon
,
L.
,
Moses
,
F.
, and
Razani
,
R.
, 1965, “
Structural Synthesis
,”
Summer Notes
,
Case Institute of Technology
,
OH
, Vol.
1
.
378.
Schmit
,
L. A.
, and
Kicher
,
T. P.
, 1962, “
Structural Synthesis of Symmetric Waffle Plate
,”
NASA
Report No. TN 3443.
379.
Patnaik
,
S. N.
, and
Srivastava
,
N. K.
, 1980, “
Safety of Optimally Designed Structures Like Cylinders and Plates
,”
Comput. Struct.
0045-7949,
11
, pp.
363
367
.
380.
Patnaik
,
S. N.
, 1974, “
Synthesis of Waffle Plates in the Post Buckled Domain
,”
Comput. Methods Appl. Mech. Eng.
,
4
, pp.
47
68
. 0045-7825
381.
Patnaik
,
S. N.
, and
Sankaran
,
G. V.
, 1976, “
Optimum Design of Stiffened Cylindrical Panels With Constraint on the Frequency in the Presence of Initial Stress
,”
Int. J. Numer. Methods Eng.
,
10
, pp.
283
299
. 0029-5981
382.
Felton
,
L. P.
, and
Hofmeister
,
L. D.
, 1969, “
Synthesis of Waffle Plates With Multiple Rib Sizes
,”
AIAA J.
,
7
, pp.
2193
2199
. 0001-1452
383.
Hofmeister
,
L. D.
, and
Felton
,
L. P.
, 1970, “
Waffle Plates With Multiple Rib Sizes: Part I - Stability Analysis
,”
J. Spacecr. Rockets
0022-4650,
7
, pp.
1322
1327
.
384.
Hofmeister
,
L. D.
, and
Felton
,
L. P.
, 1970, “
Waffle Plates With Multiple Rib Sizes, I. Design Examples
,”
J. Spacecr. Rockets
0022-4650,
7
, pp.
1322
1331
.
385.
Burns
,
A. B.
, and
Skogh
,
J.
, 1966, “
Combined Loads Minimum Weight Analysis of Stiffened Plates and Shells
,”
J. Spacecr. Rockets
0022-4650,
3
, pp.
235
240
.
386.
Burns
,
A. B.
, and
Almroth
,
B. O.
, 1966, “
Structural Optimization of Axially Compressed Cylinders, Considering Ring-Stringer Eccentricity Effects
,”
J. Spacecr. Rockets
0022-4650,
3
, pp.
1263
1268
.
387.
Stroud
,
W. J.
,
Agranoff
,
N.
, and
Anderson
,
M. S.
, 1977, “
Minimum-Mass Design of Filamentary Composite Panels Under Combined Loads: Design Based on a Rigorous Buckling Analysis
,”
NASA
Report No. TN D 8417.
388.
Bushnell
,
D.
, 1985,
Computerized Buckling Analysis of Shells
,
Martinus Nijhoff
,
Leiden, The Netherlands
.
389.
Bushnell
,
D.
, 1983, “
PANDA-Interactive Program for Minimum Weight Design of Stiffened Cylindrical Panels and Shells
,”
Comput. Struct.
,
16
, pp.
167
185
. 0045-7949
390.
Bushnell
,
D.
, 1987, “
Theoretical Basis of the PANDA Computer Program for Preliminarily Design of Stiffened Panels Under In-Plane Loads
,”
Comput. Struct.
,
27
, pp.
541
563
. 0045-7949
391.
Bushnell
,
D.
, 1987, “
PANDA2—Program for Minimum Weight Design of Stiffened, Composite, Locally Buckled Panels
,”
Comput. Struct.
,
25
, pp.
469
605
. 0045-7949
392.
Bushnell
,
D.
, 1987, “
Non-Linear Equilibrium of Imperfect, Locally Deformed Stringer-Stiffened Panels Under Combined In-Plane Loads
,”
Comput. Struct.
,
27
, pp.
519
539
. 0045-7949
393.
Peng
,
M.
, and
Sridharan
,
S.
, 1991, “
An Optimization Strategy for Wide Stiffened Plates Subject to Interaction of Local and Overall Buckling
,”
Comput. Struct.
,
41
, pp.
233
243
. 0045-7949
394.
Burns
,
A. B.
, and
Crawford
,
R. F.
, 1963, “
Minimum Weight Potentials for Stiffened Plates and Shells
,”
AIAA J.
,
1
(
4
), pp.
879
886
. 0001-1452
395.
Almroth
,
B. O.
, and
Brogan
,
F. A.
, 1978, “
The STAGS Computer Code
,”
NASA
Report No. CR-2950.
396.
Faulkner
,
D.
,
Adamchak
,
J.
,
Snyder
,
G. J.
, and
Vetter
,
M. F.
, 1973, “
Synthesis of Welded Grillages to Withstand Compression and Normal Loads
,”
Comput. Struct.
0045-7949,
3
, pp.
221
246
.
397.
Farkas
,
J.
,
Jarmai
,
K.
, and
Szabo
,
F. J.
, 1986, “
Optimum Design of Longitudinally Stiffened Arbitrary Loaded Box Sections
,” Regional Colloquium on Stability of Steel Structures,
M.
Ivanyi
, ed., Hungary, Vol.
1
, pp.
741
745
.
398.
Frauenthal
,
J. C.
, 1973, “
Initial Postbuckling Behaviour of Optimally Designed Columns and Plates
,”
Int. J. Solids Struct.
0020-7683,
9
, pp.
115
127
.
399.
Gajewski
,
A.
, and
Zyczkowski
,
M.
, 1988,
Optimal Structural Design Under Stability Constraints
,
Kluwer
,
Dordrecht
.
400.
Hartmann
,
D.
, and
Neumann
,
M.
, 1989, “
Structural Optimization of a Box Girder Bridge by Means of Finite Strip Method
,” Computer Aided Optimum Design,
C. A.
Brebbia
, ed., Vol.
1
, pp.
337
346
.
401.
Mansur
,
E. F.
, 1970, “
Optimum Stiffness and Strength of Elastic Structures
,”
J. Struct. Div.
0044-8001,
96
(
5
), pp.
621
640
.
402.
Rothwell
,
A.
, 1991, “
Multi-Level Optimization of Aircraft Shell Structures
,”
Thin-Walled Struct.
0263-8231,
11
, pp.
85
103
.
403.
Sandorff
,
P. E.
, 1956, “
Design of Structural Models With Application to Stiffened Panels Under Combined Shear and Compression
,”
J. Aeronaut. Sci.
,
26
, pp.
623
648
. 0095-9812
404.
Skaloud
,
M.
, 1983, “
Optimum Rigidity of Stiffeners of Webs and Flanges
,”
Plated Structures, Stability and Strength
,
R.
Narayanan
, ed.,
Applied Science
,
London, UK
, pp.
103
133
.
405.
Symonds
,
M. F.
, 1956, “
Minimum Weight Design of a Simply Supported Transversely Stiffened Plate Loaded in Shear
,”
J. Aeronaut. Sci.
,
26
, pp.
685
693
. 0095-9812
406.
Yamazaki
,
N.
, 1991, “
Approximate Method in Optimization of Stiffened Plate Structure
,”
Proceedings of the Second International Conference on Computer Aided Optimum Design of Structure
, Boston, MA, pp.
141
153
.
407.
Thierauf
,
G.
, 1990, “
Thin Walled Structures and Related Optimization Problems
,”
Thin-Walled Struct.
0263-8231,
9
, pp.
241
256
.
408.
Zyczkowski
,
M.
,
Structural Optimization Under Stability and Vibration Constraints
,
Springer
,
New York
.
409.
Kang
,
J.
, and
Kim
,
C.
, 2005, “
Minimum-Weight Design of Compressively Loaded Composite Plates and Stiffened Panels for Postbuckling Strength
,”
Compos. Struct.
,
69
, pp.
239
246
. 0263-8223
You do not currently have access to this content.