Torsion and Shear Stresses in Ships

By: Mohamed Shama

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Hardcover | 7 October 2010

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304 Pages

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23.5 x 15.88 x 1.91

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In the last few decades, much research work was conducted to improve ship structure analysis and design. Most of the efforts were directed to improve the strength of hull girder and to use the method of finite element analysis more efficiently and effectively. Because of the high degree of complexity of ship structures the interaction between hull girder strength and local strength require special attention. The complex system of stresses could produce unacceptable deformations and high values of equivalent stresses. This book covers an area of ship structure analysis and design that has not been exhaustively covered by other books on ship structures in a simple form. It presents the basic concepts of the methods and procedures required to calculate torsion and shear stresses in ship structures. Moreover, it is enhanced with a set of some solved and unsolved problems, very useful for students of naval and marine engineering.

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Torsion Stresses in Ships
Torsion Stresses in Ships	p. 3
Introduction	p. 3
Torsion Loading of Beam Elements	p. 3
Direct Torsion Loads	p. 3
Induced Torsion Load	p. 3
Variation of Torque and Angle of Twist along Beam Length	p. 4
Beams Subjected to Concentrated Torques	p. 4
Beams Subjected to Uniformly Distributed Torsion Loading	p. 5
Torsion of Uniform Thin Walled Sections	p. 6
Pure Torsion of Uniform Open Thin-Walled Girders	p. 6
Torsion of Uniform Thin-Walled Closed Sections	p. 9
Basic Equations of Torsion of Thin-Walled Closed Sections	p. 10
Shear Flow and Stress	p. 10
Rate of Twist	p. 11
Torsion of a Uniform Thin-Walled Tube	p. 12
Angle of Twist	p. 12
Torsion Shear Stress	p. 13
Comparison between Open and Closed Thin-Walled Sections	p. 16
Circular Section	p. 16
Square Section	p. 18
Torsion Constant of Uniform Thin-Walled Closed Sections with Attached Open Sections	p. 19
Torsion Stresses in Thin-Walled Multi-Cell Box-Girders	p. 21
Torsion of Uniform Thin-Walled Two-Cell Box-Girders	p. 21
The General Case of a Uniform Two-Cell Box Girder	p. 26
Torsion Stresses in a Two Identical Cells Box-Girder	p. 29
Shear Flow q	p. 29
Shear Stress ¿	p. 29
Rate of Twist ¿	p. 30
Torsion of Three-Cell Box-Girder	p. 30
Torsion of Uniform Thin-Walled Multi-Cell Box-Girder	p. 33
Combined Open and Closed Thin-Walled Sections	p. 34
Combined Open Section with One Closed Cell	p. 34
Combined Open Section with Two Closed Cells	p. 35
Torsion Warping Deformations and Stresses	p. 41
Torsion of Thin-Walled Variable Section Beams	p. 41
Free Warping	p. 41
Constrained Warping	p. 41
Warping of Thin-Walled Sections	p. 43
Flexural Warping Stresses	p. 46
Development of the General Equation of Torsion	p. 47
Solution of the Torsion Equation	p. 54
Torsion of Container Ships	p. 65
Torsion Loading on Ships	p. 65
Torsion Loading of Open-Decked Ships	p. 66
Torsion Loading on Catamaran Vessels	p. 70
Warping Deformations and Stresses in the Deck Structure of Container Ships	p. 72
Torsional Deformation of Ship Hull Girder	p. 72
An Approximate Method for Torsion Analysis of Open Deck Vessels	p. 74
Calculation of the Shear and Flexural Warping Stresses	p. 75
Solution of the Torsion Equation	p. 75
Boundary Conditions	p. 75
Distribution of Torsional Loading	p. 76
Solution of the Torsion Equation for Constrained Warping	p. 77
Calculation of the Sectorial Properties of Ship Section	p. 78
Total Stress in the Deck Plating of Container Ships due to Hull Girder Bending and Torsional Loading	p. 85
Hull Girder Stresses due to Vertical Bending	p. 86
Horizontal Hull Girder Bending Stresses	p. 87
Local Stresses	p. 87
Flexural Warping Stresses	p. 88
Total Stress over the Deck Plating	p. 89
Sectorial Properties of Thin-Walled Open Sections	p. 91
Introduction	p. 91
Sectorial Properties of Thin-Walled Sections	p. 91
Principal Sectorial Properties of Thin-Walled Sections	p. 93
Position of the Shear Center	p. 94
Sectorial Area Diagram	p. 95
Procedure of Calculation	p. 96
Applications to Some Typical Sections	p. 96
Sectorial Properties for Thin-Walled Sections Free to Warp	p. 96
Sectorial Properties for a Thin-Walled Section with an Enforced Axis of Rotation	p. 101
A thin-Walled T-Section with an Enforced Axis of Rotation	p. 101
Enforced Center of Rotation for a Thin-Walled Angle Section	p. 102
Enforced Center of Rotation at a Point C on the Opposite Side of a Thin-Walled Asymmetrical Fabricated Section	p. 102
General solution of the torsion equation	p. 105
Shear Loading and Stresses in Ships
Shear Stresses in Thin-Walled Structures	p. 111
Basic Principles	p. 111
Shear Stresses in Beams due to Bending	p. 111
Solid Beams	p. 111
Average Shear Stress	p. 114
Shear Flow and Stress in Thin-Walled Sections	p. 115
Shear Centre	p. 124
Shear Deflection	p. 127
Shear Deformation	p. 129
Shear Lag	p. 130
Shear Flow and Stresses in Thin-Walled Box-Girders	p. 133
Single Cell Box-Girder	p. 133
Shear Flow in Asymmetrical Closed Box-Girders Subjected to a Vertical Shear Force F	p. 135
Shear Stresses in Thin-Walled Two-Cell Box-Girders	p. 142
Calculation of the Correcting Shear Flow for 3-Cell Box-Girders Subjected to Shear Load	p. 146
Shear Flow and Stresses in Ships	p. 149
Introduction	p. 149
Procedure of Calculation of Shear Flow Distribution	p. 149
Ship Section Idealization	p. 149
Determination of the Effective Thickness	p. 157
Shear Flow Calculation	p. 157
Procedure of Calculation of Shear Flow Distribution	p. 158
Shear Flow Distribution over a Ship Section of a Two-deck Cargo Ship	p. 160
Calculation of Shear Stress Distribution	p. 161
Equivalent Stress	p. 161
Calculation of Shear Stress Distribution over a Ship Section	p. 162
Calculation of Shear Flow Distribution over a Twin DeckCargo Ship	p. 163
Shear Flow Distribution over a Catamaran Section	p. 164
Calculation of Shear Stresses in Tankers Subjected to Longitudinal Vertical Shear Forces	p. 167
Coastal Tankers Having One Longitudinal Bulkhead	p. 167
Calculation of Shear Flow Distribution for Twin Longitudinal Bulkhead Tankers	p. 169
Shear Load Carried by Longitudinal Bulkheads and Side Shell Plating	p. 173
Sea-Going Tankers with Two Longitudinal Bulkheads	p. 173
Coastal Tankers with One Longitudinal Bulkhead	p. 175
Shear Flow Distribution over a Ship Section of an Oil Tanker Experiencing a Local Damage in the Shell Plating or Longitudinal Bulkhead	p. 176
Introduction	p. 176
Shear Stress Distribution over a Tanker Section Experiencing a Local Damage	p. 177
Scenarios of Assumed Damage Locations on the Tanker Section	p. 177
Shear Loading and Stresses in Bulk Carriers	p. 187
Introduction	p. 187
Structural Configuration	p. 187
Upper and Lower Stools of Transverse Bulkheads	p. 188
Double Bottom Structure	p. 189
Hull Girder Loading	p. 189
Longitudinal Vertical Shearing Force	p. 190
Stillwater Component (FS)	p. 191
Wave-Induced Component (FW)	p. 195
The Distribution of the Largest Expected Vertical Wave-Induced Shearing Force	p. 197
Dynamic Component (FD)	p. 198
Total Vertical Shearing Force F	p. 200
Approximate Value to the Maximum Vertical Shear Force	p. 201
Variation of Various Shear Stress Components with Time	p. 202
Shear Flow Distribution in Bulk Carriers	p. 202
Structure Idealization	p. 202
Effective Thickness	p. 203
Shear Flow Distribution	p. 204
Shear Stress Distribution	p. 205
Shear Flow Distribution over the Hopper Tank	p. 205
Shear Flow Distribution over the Top Wing Tanks	p. 207
Programming Implementation
Programming Implementation	p. 213
Introduction	p. 213
Program List	p. 214
Solved Problems	p. 258
Problems	p. 265
References	p. 273
Index	p. 275
CV of the Author	p. 277
Table of Contents provided by Ingram. All Rights Reserved.

Torsion and Shear Stresses in Ships

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