Contents of the 60TH Anniversary Series, Volume 12, Studies on the Buckling Strength of Ship Structures

The Society of Naval Architects of Japan

60TH ANNIVERSARY SERIES

V O L U M E 12

STUDIES ON THE BUCKLING STRENGTH

OF SHIP STRUCTURES

By

Masao

Yoshiyuki

Noritaka

Tadahiko

The Society of Naval Architects of Japan

Tokyo, 1966

C O N T E N T S

PREFACE

Page

C H A P T E R 1. I n t r o d u c t i o n 1 C H A P T E R 2. I n s t a b i l i t y of Beams and Columns 3

• 2 . 1 I n t r o d u c t i o n 3 2.2 Plastic b u c k l i n g o f a c o l u m n w i t h i n i t i a l deflection 4

2.3 Influence o f residual stresses on t h e b u c k h n g s t r e n g t h o f columns 9 2.4 General t h e o r y on t h e i n s t a b i h t y problems o f t h i n - w a l l e d members o f open cross

section 15

C H A P T E R 3. Elastic B u c k h n g o f Plates 27

3 . 1 I n t r o d u c t i o n 27 3.2 D e t e r m i n a t i o n o f c r i t i c a l loads o f plates 27

3.3 E x p e r i m e n t a l d e t e r m i n a t i o n o f plate b u c k h n g loads 32 3.4 B u c k l i n g of a r e c t a n g u l a r plate u n d e r ' c o m b i n e d a c t i o n o f edge compression a n d

l a t e r a l pressure 36 3.5 The influence of residual stresses on t h e elastic s t a b i l i t y o f plates 47

3.6 B u c k h n g o f p e r f o r a t e d r e c t a n g u l a r plates under compression 50 3.7 B u c k h n g of a r e c t a n g u l a r plate under i m p u l s i v e edge t h r u s t 53

C H A P T E R 4. B u c k l i n g S t r e n g t h o f S t i f f e n e d Plates 57

4 . 1 I n t r o d u c t i o n 57 4.2 Collapsing s t r e n g t h o f s t i f f e n e d plates 58

4.3 B u c k h n g a n d c r u s h i n g s t r e n g t h o f t h i n plate s t r u c t u r e s o f h i g h s t r e n g t h steels.. 61

4 . 4 The u l t i m a t e s t r e n g t h o f s t i f f e n e d plates w i t h l i g h t gauge sections 64 4.5 Load c a r r y i n g capacity o f s t i f f e n e d plates r u l e d m a i n l y b y l a t e r a l t o r s i o n a l

b u d d i n g o f s t i f f e n e r s 67 4.6 B u c k h n g of r e c t a n g u l a r plates w i t h l o n g i t u d i n a l s t i f f e n e r s under b e n d i n g 70 4.7 E l a s t i c b u c k l i n g o f c o r r u g a t e d bulkheads 72 4.8 Compressive s t r e n g t h of panels r e i n f o r c e d b y c o r r u g a t i o n 76 4.9 Studies on t h e b u c k l i n g s t r e n g t h o f o r t h o g o n a l l y s t i f f e n e d plates 78 4.10 B u c k l i n g s t r e n g t h o f r i v e t e d plates 80 C H A P T E R 5. Plastic B u c k l i n g o f Plates 83 5 . 1 I n t r o d u c t i o n 83 5.2 A n e w t h e o r y o f plastic b u c k h n g o f plates 85 5.3 Plastic b u c k l i n g o f c o r r u g a t e d plates 90 5.4 Plastic b u c k l i n g o f s t i f f e n e d plates i n s t r a i n - h a r d e n i n g range 95

ii

5.5 Influence of residual stresses on the plate i n s t a b i l i t y 104 5.6 B u c k h n g s t r e n g t h of plates w i t h residual stresses under shear 108

5.7 Compressive s t r e n g t h of s t r u c t u r a l elements i n plastic range I l l 5.8 The influence o f coaming on t h e b u c k l i n g s t r e n g t h of p e r f o r a t e d plates 113

C H A P T E R 6. Collapse S t r e n g t h of C i r c u l a r C y l i n d r i c a l Shells 117 6 . 1 I n t r o d u c t i o n

6.2 A x i s - s y m m e t r i c a l collapse of a s t i f f e n e d circular c y h n d r i c a l shell 118 6.3 Shell b u c k h n g of c i r c u l a r c y l i n d r i c a l shells under e x t e r n a l pressure 123 •6.4 E x p e r i m e n t a l s t u d y on t h e collapsing s t r e n g t h of s t i f f e n e d c i r c u l a r c y h n d r i c a l

shells subjected to e x t e r n a l pressure

6.5 General i n s t a b i h t y o f a r e i n f o r c e d c i r c u l a r c y l i n d r i c a l shell under e x t e r n a l

pres-6.6 Bodily collapse of r i n g - s t i f f e n e d c i r c u l a r cyhnders subjected t o e x t e r n a l p r e s s u r e . . 135

6.7 B u c k l i n g s t r e n g t h o f a t r u n c a t e d conical shell under e x t e r n a l pressure 138

6.8 I m p u l s i v e s t r e n g t h of t h i n circular c y l i n d r i c a l shells 141 6.9 E x p e r i m e n t a l s t u d y o n t h e damage o f c i r c u l a r c y h n d r i c a l shells due to

under-w a t e r explosion 148

C H A P T E R 7. Collapse S t r e n g t h of Ship B o t t o m Plates 153

7 . 1 I n t r o d u c t i o n 153 7.2 General description on the c o r r u g a t i o n f a i l u r e of ship b o t t o m plates 154

7.3 Theoretical analysis o f the c o r r u g a t i o n f a i l u r e based on the beam t h e o r y 155 7.4 A n a l y s i s of t h e c o r r u g a t i o n f a i l u r e based on t h e s m a l l deflection t h e o r y o f

plates 161 7.5 A p p l i c a t i o n of t h e finite displacement t h e o r y of plates 167

7.6 E x p e r i m e n t a l i n v e s t i g a t i o n on t h e collapse s t r e n g t h of ship b o t t o m plates 177