BSI 23/30443611 DC:2023 Edition
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BS EN 1993-1-6. Eurocode 3. Design of steel structures – Part 1-6. Strength and Stability of Shell Structures
Published By | Publication Date | Number of Pages |
BSI | 2023 | 162 |
1.1 Scope of prEN 1993-1-6 (1) prEN 1993-1-6 provides rules for the structural design of plated steel structures that have the form of a shell of revolution (axisymmetric shell). (2) This document is applicable to unstiffened fabricated axisymmetric shells formed from isotropic rolled plates using both algebraic and computational procedures, and to stiffened axisymmetric shells with different wall constructions using computational procedures. It also applies to associated circular or annular plates and to beam section rings and stringer stiffeners where they form part of the complete shell structure. The general computational procedures are applicable to all shell forms. (3) This document does not apply to manufactured shells or to shell panels or to elliptical shell forms, except that its computational procedures are applicable to all shell structures. This document does not apply to structures under seismic or other dynamic loading. It does not cover the aspects of leakage of stored liquids or solids. (4) Cylindrical and conical panels are not explicitly covered by this document. However, the provisions of subclause 9.8 can be used provided that appropriate boundary conditions are taken into account. (5) This document defines the characteristic and design values of the resistance of the structure. (6) This document is concerned with the requirements for design against the ultimate limit states of: – plastic failure; – cyclic plasticity; – buckling; – fatigue. (7) Overall equilibrium of the structure (sliding, uplifting, overturning) is not included in this document. Special considerations for specific applications are included in the relevant application parts of EN 1993. (8) Detailed formulae for the simple calculation of unstiffened cylinders, cones and spherical domes are given in the Annexes. (9) Provisions for simple calculations on specific stiffened shell types are given in EN 1993-4-1. (10) This document is intended for application to steel shell structures. Where no standard exists for shell structures made of other metals, including high strength steels, the provisions of this document are applicable provided the appropriate material properties of the metal are taken into account. (11) The provisions of this document are intended to be applied within the temperature ranges defined in the relevant EN 1993 application parts. (12) Where no application part defines a different range, this document applies to structures within the following limits: – design metal temperatures lie within the range −50 °C to +100 °C, except when using the special provisions given in 5.1; – radius to thickness ratios (r/t) within the range 50 to 2 000; – manufactured circular hollow sections according to EN 10210 and EN 10219 are outside the scope of this standard and are covered by EN 1993-1-1. However, if no other provisions are available, the rules of this document are useful for manufactured circular hollow sections. In particular, this document is applicable to the design of manufactured piles (see EN 1993-5) provided the imperfections and tolerance requirements of EN 1993-5 are adopted in place of those specified in prEN 1993-1-6, and where no other standard covers the specific pile geometry. NOTE 1 Experimental and theoretical data relating to manufactured circular hollow sections were not considered when this document was drafted. The application of this document to such structures therefore remains the responsibility of the user. NOTE 2 The stress design rules of this document can be rather conservative if applied to some geometries and loading conditions for relatively thick-walled shells. NOTE 3 Thinner shells than r/t = 2 000 can be treated using these provisions but the provisions have not been verified for such thin shells. …
PDF Catalog
PDF Pages | PDF Title |
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11 | 1 Scope 1.1 Scope of prEN 1993-1-6 |
12 | 1.2 Assumptions |
13 | 2 Normative references 3 Terms, definitions and symbols 3.1 Definitions 3.1.1 Structural forms and geometry |
16 | 3.1.2 Limit states |
17 | 3.1.3 Actions |
18 | 3.1.4 Stress resultants and stresses in a shell |
19 | 3.1.5 Types of analysis and their use |
21 | 3.1.6 Stress categories used in stress design 3.1.7 Special definitions for buckling calculations |
23 | 3.2 Symbols 3.2.1 Coordinate system |
24 | 3.2.2 Shell dimensions 3.2.3 Distributed surface loads and pressures 3.2.4 Line forces |
25 | 3.2.5 Membrane stress resultants 3.2.6 Bending stress resultants 3.2.7 Stresses 3.2.8 Displacements relative to the perfect or imperfect shell surface |
26 | 3.2.9 Tolerances |
27 | 3.2.10 Properties of materials 3.2.11 Parameters in resistance assessment |
29 | 3.2.12 Subscripts |
30 | 3.3 Sign conventions 4 Basis of design 4.1 General rules 4.1.1 Basic requirements |
31 | 4.1.2 Specific requirements 4.2 Types of analysis 4.2.1 General 4.2.2 Global analysis |
32 | 4.2.3 Membrane theory analysis 4.2.4 Semi-membrane theory analysis 4.2.5 Linear elastic shell analysis (LA) 4.2.6 Linear elastic bifurcation analysis (LBA) |
33 | 4.2.7 Geometrically nonlinear elastic analysis (GNA) 4.2.8 Materially nonlinear analysis (MNA) 4.2.9 Geometrically and materially nonlinear analysis (GMNA) |
34 | 4.2.10 Geometrically nonlinear elastic analysis with imperfections explicitly included (GNIA) 4.2.11 Geometrically and materially nonlinear analysis with imperfections explicitly included (GMNIA) 4.3 Shell boundary conditions |
35 | 4.4 Verification by the partial factor method |
36 | 5 Materials and geometry 5.1 Material properties |
37 | 5.2 Design values of geometrical data 5.3 Geometrical tolerances and geometrical imperfections |
38 | 6 Structural analysis 6.1 Types of design 6.1.1 Stress design 6.1.1.1 General 6.1.1.2 Primary stresses 6.1.1.3 Secondary stresses |
39 | 6.1.1.4 Local stresses 6.1.2 Design using standard formulae 6.1.3 Design by computational analysis |
40 | 6.2 Stress resultants and stresses in shells 6.2.1 Stress resultants in the shell 6.2.2 Modelling of the shell for analysis 6.2.2.1 Geometry |
41 | 6.2.2.2 Boundary conditions |
43 | 6.2.2.3 Actions and environmental influences 6.2.3 Types of analysis |
44 | 6.3 Ultimate limit states to be considered 6.3.1 LS1: Plastic failure |
45 | 6.3.2 LS2: Cyclic plasticity |
46 | 6.3.3 LS3: Buckling 6.3.4 LS4: Fatigue |
47 | 6.4 Concepts for the limit state verifications 6.4.1 General |
48 | 7 Plastic failure Limit State (LS1) 7.1 Design values of actions 7.2 Stress design 7.2.1 Design values of stresses |
49 | 7.2.2 Design values of resistance |
50 | 7.2.3 Stress limitation 7.3 Design by computational MNA or GMNA analysis |
51 | 7.4 Design using standard formulae 8 Cyclic plasticity Limit State (LS2) 8.1 Design values of actions 8.2 Stress design 8.2.1 Design values of stress range |
52 | 8.2.2 Design values of resistance 8.2.3 Stress range limitation 8.3 Design by computational GMNA analysis 8.3.1 Design values of total accumulated plastic strain |
53 | 8.3.2 Total accumulated plastic strain limitation 8.4 Design using standard formulae 9 Buckling Limit State (LS3) 9.1 Design values of actions 9.2 Special definitions and symbols |
54 | 9.3 Buckling-relevant boundary conditions |
57 | 9.4 Buckling-relevant geometrical tolerances 9.4.1 General |
60 | 9.4.2 Assessment of the dominant membrane stress at any location |
61 | 9.4.3 Out-of-roundness tolerance |
62 | 9.4.4 Unintended eccentricity tolerance |
64 | 9.4.5 Dimple tolerances |
67 | 9.4.6 Interface flatness tolerance 9.5 Stress design 9.5.1 Design values of stresses |
68 | 9.5.2 Design resistance (buckling strength) |
70 | 9.5.3 Stress limitation (buckling strength verification) |
71 | 9.6 Design using reference resistances 9.6.1 Principle 9.6.2 Design value of actions 9.6.3 Design value of resistance |
73 | 9.6.4 Buckling strength verification 9.7 Design by computational analysis using LBA and MNA analyses 9.7.1 Design value of actions 9.7.2 Design value of resistance 9.7.2.1 General 9.7.2.2 Reference elastic critical buckling resistance LBA |
75 | 9.7.2.3 Reference plastic resistance MNA |
77 | 9.7.2.4 Elastic-plastic resistance assessment |
78 | 9.7.3 Buckling strength verification 9.8 Design by computational analysis using GMNIA analysis 9.8.1 Design values of actions 9.8.2 Design value of resistance |
85 | 9.8.3 Buckling strength verification 10 Fatigue Limit State (LS4) 10.1 Design values of actions 10.2 Stress design 10.2.1 General |
86 | 10.2.2 Stress calculation methods |
87 | 10.2.3 Multiaxial stress fields |
88 | 10.2.4 Design values of resistance (fatigue strength) 10.2.5 Fatigue verification |
89 | Annex A (informative)Membrane theory stresses in unstiffened shells A.1 Use of this Annex A.2 Scope and field of application A.3 General A.3.1 Action affects and resistances A.3.2 Notation |
90 | A.3.3 Boundary conditions A.3.4 Sign convention |
91 | A.4 Cylindrical shells |
92 | A.5 Conical shells |
94 | A.6 Spherical shells |
95 | Annex B (informative)Formulae for plastic reference resistances of unstiffened shells and circular plates B.1 Use of this Annex B.2 Scope and field of application B.3 General B.3.1 Resistances B.3.2 Notation |
96 | B.3.3 Boundary conditions B.4 Uniform unstiffened cylindrical shells B.4.1 Radial ring line load |
97 | B.4.2 Radial outward ring line load and axial tension |
98 | B.4.3 Radial ring line load, internal pressure and axial load |
99 | B.5 Cylindrical shells with local ring stiffeners B.5.1 Radial line ring load alone B.5.2 Radial line ring load with axial load |
100 | B.5.3 Radial line ring load, internal pressure and axial load |
101 | B.6 Junctions between conical and cylindrical shells B.6.1 Meridional forces alone (simplified) |
102 | B.6.2 Internal pressure and meridional forces |
103 | B.7 Circular plates with axisymmetric boundary conditions B.7.1 Uniform transverse pressure with simply supported boundary B.7.2 Central circular patch of transverse pressure with simply supported boundary |
104 | B.7.3 Uniform transverse pressure with clamped boundary B.7.4 Central circular patch of transverse pressure with clamped boundary |
105 | Annex C (informative)Formulae for linear elastic membrane and bending stresses in unstiffened cylindrical shells and circular plates C.1 Use of this Annex C.2 Scope and field of application C.3 General C.3.1 Action effects C.3.2 Notation |
106 | C.3.3 Boundary conditions C.4 Clamped base cylindrical shells C.4.1 Uniform internal pressure |
107 | C.4.2 Axial loading C.4.3 Uniform internal pressure with axial loading |
108 | C.4.4 Hydrostatic internal pressure |
109 | C.4.5 Radial outward base displacement C.4.6 Uniform temperature rise |
110 | C.5 Pinned base cylindrical shells C.5.1 Uniform internal pressure C.5.2 Axial loading |
111 | C.5.3 Uniform internal pressure with axial loading C.5.4 Hydrostatic internal pressure |
112 | C.5.5 Radial outward base displacement C.5.6 Uniform temperature rise |
113 | C.5.7 Boundary rotation C.6 Internal conditions in cylindrical shells C.6.1 Step change of internal pressure |
114 | C.6.2 Hydrostatic internal pressure termination |
115 | C.6.3 Step change of thickness |
116 | C.7 Local ring stiffener on a cylindrical shell C.7.1 Radial force only on the ring C.7.2 Axial loading |
117 | C.7.3 Uniform internal pressure |
118 | C.8 Circular plates with simply supported boundary conditions C.8.1 Uniform transverse load |
119 | C.8.2 Local circular distributed load C.9 Circular plates with clamped boundary conditions C.9.1 Uniform load |
120 | C.9.2 Plate with fixed boundary: local distributed load |
121 | Annex D (normative)Formulae to determine the buckling resistance of unstiffened shells when using stress design D.1 Use of this annex D.2 Scope and field of application D.3 Cylindrical shells of constant wall thickness: basic load cases D.3.1 Notation and boundary conditions |
122 | D.3.2 Dimensionless lengths D.3.3 Axial (meridional) compression D.3.3.1 Length domains D.3.3.2 Critical axial buckling stresses |
123 | D.3.3.3 Axial compression buckling capacity parameters |
124 | D.3.3.4 Stainless steel cylinders under axial compression |
126 | D.3.4 Circumferential (hoop) compression D.3.4.1 Length domains |
128 | D.3.4.2 Critical circumferential buckling stresses D.3.4.3 Circumferential buckling capacity parameters |
129 | D.3.5 Shear (torsion) D.3.5.1 Length domains |
130 | D.3.5.2 Critical shear buckling stresses D.3.5.3 Shear buckling capacity parameters |
131 | D.4 Cylindrical shells of constant wall thickness: combined cases D.4.1 Axial (meridional) compression with coexistent internal pressure D.4.1.1 Pressurised critical axial buckling stress |
132 | D.4.1.2 Pressurised axial buckling capacity parameters |
133 | D.4.2 External pressure under a wind pressure distribution D.4.2.1 Critical circumferential buckling pressure under wind |
134 | D.4.3 Combinations of axial (meridional) compression, circumferential (hoop) compression and shear |
136 | D.5 Cylindrical shells of stepwise variable wall thickness D.5.1 General D.5.1.1 Notation and boundary conditions D.5.1.2 Geometry and joint offsets |
137 | D.5.2 Axial (meridional) compression D.5.3 Circumferential (hoop) compression D.5.3.1 Critical circumferential buckling pressure and stresses |
140 | D.5.3.2 Critical circumferential buckling pressure under wind |
142 | D.5.3.3 Buckling strength verification for circumferential compression in a stepped wall D.5.3.4 Stiffening rings to resist buckling under external pressure and wind |
145 | D.5.4 Shear D.5.4.1 Critical shear buckling stresses D.5.4.2 Buckling strength verification for shear D.6 Lap jointed cylindrical shells D.6.1 General D.6.1.1 Definitions D.6.1.2 Geometry and stress resultants |
146 | D.6.2 Axial (meridional) compression D.6.3 Circumferential (hoop) compression D.6.4 Shear |
147 | D.7 Complete and truncated conical shells D.7.1 General D.7.1.1 Notation D.7.1.2 Boundary conditions D.7.1.3 Geometry |
148 | D.7.2 Design buckling stresses D.7.2.1 Equivalent cylinder D.7.2.2 Meridional compression D.7.2.3 Circumferential (hoop) compression D.7.2.4 Uniform external pressure |
149 | D.7.2.5 Shear D.7.2.6 Uniform torsion |
150 | D.7.3 Buckling strength verification D.7.3.1 Meridional compression D.7.3.2 Circumferential (hoop) compression and uniform external pressure |
151 | D.7.3.3 Shear and uniform torsion |
152 | Annex E (normative)Formulae to determine the buckling resistance of unstiffened shells when using reference resistance design E.1 Use of this annex E.2 Scope and field of application E.3 Cylindrical shells under global bending E.3.1 General E.3.1.1 Notation |
153 | E.3.1.2 Boundary conditions E.3.1.3 Loading conditions E.3.1.4 Length characterisation E.3.2 Buckling resistance under uniform global bending E.3.2.1 Reference plastic resistance E.3.2.2 Reference elastic critical buckling resistance E.3.2.3 Length domains |
154 | E.3.2.4 Buckling capacity parameters |
156 | E.3.2.5 Characteristic buckling resistance E.3.3 Buckling resistance under global bending with axial compression E.3.3.1 General E.3.3.2 Interaction verification |
157 | E.4 Spherical dome shells E.4.1 General E.4.1.1 Scope E.4.1.2 Notation |
158 | E.4.1.3 Support and boundary conditions E.4.1.4 Loading conditions |
159 | E.4.2 Tolerances for spherical shells E.4.3 Buckling design for uniform external pressure E.4.3.1 Limitation on buckling calculations E.4.3.2 Reference elastic critical buckling resistance E.4.3.3 Reference plastic resistance |
160 | E.4.3.4 Buckling capacity parameters for simple conditions |
161 | E.4.3.5 Characteristic buckling resistance E.4.4 Buckling strength verification for uniform external pressure |