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BSI 24/30457270 DC 2024

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EN 1991-4 Eurocode 1. Actions on structures. – Part 4: Silos and tanks

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BSI 2024 165
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1.1 Scope of EN 19914 (1) EN 1991-4 provides guidance for calculating actions for the structural design of silos and tanks. NOTE 1 Silos are used for the storage of particulate solids: tanks are used for the storage of liquids. NOTE 2 For limitations on rules for silos given in this document, see 1.3. NOTE 3 For limitations on rules for tanks given in this document, see 1.4. (2) EN 1991 4 includes some provisions for actions on silo and tank structures that are not only associated with the stored solids or liquids (e.g. the effects of thermal differentials) but substantially affected by them. NOTE Liquid loads on tanks are very precisely defined. Many loads on silos are not known with great precision. This standard provides guidance for many practical situations for which very limited certain knowledge is available, and the information is derived from the limited experimental and analytical information available, coupled with conclusions drawn from failure investigations. The information is not based on a sound statistical treatment of experimental data. (3) EN 1991 4 is intended for use with concrete, steel, aluminium, timber and FRP storage structures. NOTE FRP is the standard acronym for fibre reinforced polymer materials. (4) EN 1991 4 may be used for the structural assessment of existing construction, in developing the design of repairs and alterations or for assessing changes of use. NOTE Where the structural appraisal of an existing structure is being considered, reference can be made to the National Annex and to the client concerning the relevance of the current standard. 1.2 Assumptions (1) The assumptions of EN 1990 apply. (2) EN 1991 4 is intended to be used in conjunction with EN 1990, with the other parts of EN 1991, EN 1992, EN 1993, EN 1995, EN 1997, EN 1998 and EN 1999 where relevant to the design of silos and tanks. 1.3 Limitations on silos 1.3.1 Geometrical limitations (1) The following geometrical limitations apply to the design rules for silos covered by this document: – the silo here defined is either an isolated structure or can be part of a battery of silos. For a silo battery, the term silo is used throughout this standard to refer to a single cell within the battery; – the silo planform cross-section shapes are limited to those shown in Figure 1.1c. NOTE 1 Minor variations to these shapes can be accepted provided the structural consequences of the resulting changes in pressure are expected to be considered. Further information concerning planform cross-section geometries is given in 7; NOTE 2 Further information concerning planform cross-section geometries is given in Clause 7. – the relevant overall height of the silo hb (Figure 1.1a) is measured from the level of the equivalent surface of the stored solid (see 3.2.17) when the silo is filled to its maximum capacity, down to the apex of the cone of the hopper or to the flat base where there is no hopper; NOTE For the evaluation of ho to calculate hb, see (2). – the effective diameter dc of the silo should be determined as indicated in Figure 1.1c; – the following dimensional limitations on the overall height hb and aspect ratio hb/dc apply (see Figure 1.1): hb/dc < 10 (1.1) hb < 100 m (1.2) dc < 60 m (1.3) – the structural transition lies in a single horizontal plane (see Figure 1.1a); – the relevant cylindrical section height of the silo hc (Figure 1.1a) should be measured from the level of the equivalent surface of the stored solid (see 3.2.17) when the silo is filled to its maximum capacity, down to the structural transition (see Figure 1.1a) or to the flat base where there is no hopper; (2) For a symmetrically filled circular silo of diameter dc, h0 should be determined as: (1.4) and for a symmetrically filled rectangular silo of characteristic dimension dc, h0 should be determined as: (1.5) where: …

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PDF Pages PDF Title
12 1 Scope
1.1 Scope of EN 19914
1.2 Assumptions
1.3 Limitations on silos
1.3.1 Geometrical limitations
15 1.3.2 Limitations on the stored solids
16 1.3.3 Limitations on filling and discharge arrangements
17 1.4 Limitations on tanks
18 2 Normative references
3 Terms, definitions and symbols
3.1 General
3.2 Terms and definitions
27 3.3 Symbols and abbreviations
3.3.1 Roman upper-case letters
28 3.3.2 Roman lower-case letters
31 3.3.3 Greek upper-case letters
3.3.4 Greek lower-case letters
32 4 Classification of silos
4.1 Action Assessment Classes for silos
35 4.2 Silo usage classes
5 Design situations and modelling of actions
5.1 General
5.2 Representation of loads on silos
5.2.1 General
36 5.2.2 Representation of loads on silo inside surfaces
5.2.3 Classification of actions on silos
37 5.2.4 Evaluation of loads on silos
38 5.2.5 Silo Fundamental and Special load cases
39 5.2.6 Design situations for specific silo construction forms
40 5.3 Evaluation of filling and discharge conditions for silos
5.3.1 General
43 5.3.2 Prediction of symmetrical flow patterns
45 5.3.3 Assessment of the filling and discharge eccentricities
48 5.3.4 Silos storing powders
5.4 Silo Fundamental Load Cases (SFLC)
5.4.1 Common failure modes
49 5.4.2 Eccentricity limits for Silo Fundamental Load Cases
5.4.3 Uncertainty and variability of solid properties
50 5.4.4 Types of Silo Fundamental Load Cases
51 5.5 Silo Special Load Cases (SSLC)
5.5.1 General
52 5.5.2 Situations that require Silo Special Load Cases
5.5.3 Unsymmetrical discharge
55 5.5.4 Eccentricity limits
56 5.5.5 Large eccentricity filling loads in slender and very slender circular silos
5.5.6 Large eccentricity filling loads in squat and intermediate slenderness circular silos
5.5.7 Moderate eccentricity discharge loads in slender and very slender circular silos
5.5.8 Moderate eccentricity discharge loads in squat and intermediate slenderness circular silos
57 5.5.9 Large eccentricity pipe flow in circular and rectangular silos
5.5.10 Silos containing solids with entrained air
5.5.11 Thermal differences between stored solids and the silo structure
58 5.5.12 Suction due to inadequate venting
5.5.13 Loads on the vertical walls of special rectangular silos
5.5.14 Internal inverted cone
5.5.15 Oblique conical hoppers
59 5.5.16 Eccentric pipe flow in steep concentric or oblique hoppers
5.5.17 Principles for design of silos against dust explosions
60 5.6 Load modifying factors for direct use in load evaluations
61 5.7 Representation of loads on tanks
62 6 Properties of particulate solids
6.1 General
6.1.1 Flow Group
6.1.2 Properties of solids for design calculations
6.1.3 Wall Friction Category
64 6.1.4 Characteristic values of material properties
65 6.1.5 Applications of the effective modulus
66 6.2 Particulate solid properties: principles and background
6.2.1 General
67 6.2.2 Obtaining appropriate solids properties for design
68 6.3 Testing particulate solids
6.3.1 Test procedures
6.3.2 Bulk unit weight γ
6.3.3 Coefficient of wall friction μ
69 6.3.4 Angle of internal friction ϕi
6.3.5 Lateral pressure ratio K
6.3.6 Cohesion c
70 6.3.7 Porosity n
7 Symmetrical loads on vertical walls (Silo Fundamental Load Cases)
7.1 General
71 7.2 Slender and very slender silos (hc/dc ≥ 2,0)
7.2.1 Symmetrical filling loads on slender and very slender silo vertical walls
73 7.2.2 Symmetrical discharge loads on slender and very slender silo vertical walls unloaded from the top
7.2.3 Symmetrical discharge loads on slender and very slender silo vertical walls under mass flow
7.2.3.1 General
74 7.2.3.2 Mass flow discharge: normal pressures near the transition using the band load
75 7.2.4 Symmetrical discharge loads on slender and very slender silo vertical walls under mixed flow
7.2.4.1 Estimation of the mixed flow channel geometry
76 7.2.4.2 Mixed flow discharge: normal pressures using a band load
77 7.2.4.3 Mixed flow discharge: frictional traction design
7.3 Squat and intermediate slenderness silos (0,4 ≤ hc/dc < 2,0)
7.3.1 Symmetrical filling loads on squat and intermediate slenderness silo vertical walls
79 7.3.2 Symmetrical discharge loads on squat and intermediate slenderness silo vertical walls under internal pipe flow or unloaded from the top
7.3.3 Symmetrical discharge loads on squat and intermediate slenderness silo vertical walls under mass or mixed flow
80 7.4 Retaining silos (hc/dc < 0,4)
7.4.1 Filling loads on retaining silo vertical walls
81 7.4.2 Discharge loads on retaining silo vertical walls
82 8 Silo Special Load Cases for vertical walls
8.1 General
8.2 Unsymmetrical pressures in slender and very slender silos treated by proxy loads
8.2.1 General
8.2.2 Proxy load: thick-walled circular silos (dc/t < 200)
84 8.2.3 Proxy load: thin-walled circular silos (dc/t ≥ 200)
85 8.3 Large eccentricity filling loads in squat and intermediate slenderness silos
87 8.4 Pipe flow in all silos with large flow channel eccentricities
8.4.1 General
8.4.2 Pipe flow eccentric discharge in very slender and slender circular silos
8.4.2.1 Flow channel geometry
90 8.4.2.2 Wall pressures in the flow channel under pipe flow eccentric discharge
91 8.4.2.3 Wall pressures in the static solid under pipe flow eccentric discharge
8.4.3 Large eccentricity discharge loads in squat and intermediate slenderness circular silos
8.4.4 Large eccentricity discharge loads in rectangular silos
93 8.5 Silos containing solids with entrained air
8.5.1 General
8.5.2 Loads in silos containing fluidized solids
94 8.6 Thermal differences between stored solids and the silo structure
8.6.1 General
8.6.2 Pressures due to reduction in ambient atmospheric temperature or product swelling
95 8.6.3 Pressures due to filling a silo with hot solids
96 8.7 Suction due to inadequate venting
8.8 Loads on the vertical walls of special rectangular silos
8.8.1 Rectangular silos
8.8.2 Rectangular silos with internal ties
8.8.3 Rectangular silos with flexible walls
98 9 Symmetrical loads on silo hoppers and bottoms (Silo Fundamental Load Cases)
9.1 General
9.1.1 Physical properties
101 9.1.2 General rules
102 9.2 Steep hoppers
9.2.1 Mobilized friction
9.2.2 Filling loads under symmetrical conditions
103 9.2.3 Discharge loads under symmetrical conditions
104 9.3 Shallow hoppers
9.3.1 Mobilized friction
105 9.3.2 Filling loads
9.3.3 Discharge loads
9.4 Flat bottoms
9.4.1 Vertical pressures on flat bottoms in slender silos
106 9.4.2 Vertical pressure distribution on a flat bottom in a squat or intermediate slenderness silo
107 10 Silo Special Load Cases for hoppers and silo bases
10.1 Circular silos with internal inverted cone
10.1.1 General
10.1.2 Pressures on the vertical wall and bottom of the silo
109 10.1.3 Symmetrical loads on the cone
110 10.1.4 Unsymmetrical loads on the cone
111 10.2 Oblique conical hoppers
113 10.3 Discharge loads for eccentric pipe flow in steep concentric or oblique hoppers
10.3.1 General
114 10.3.2 Steep hopper pipe flow eccentric discharge in conical hoppers
115 10.4 Hoppers in silos containing solids with entrained air
11 Loads on tanks
11.1 General
116 11.2 Loads due to stored liquids
11.3 Liquid properties
11.4 Loads due to air, gas or vapour pressures
117 11.5 Temperatures of the content of the tank
11.6 Assessment of fatigue loading events
118 Annex A (informative)Actions and combinations of actions on silos
A.1 Use of this annex
A.2 Scope and field of application
A.3 General
A.4 Actions on silos
A.4.1 Self -weight
119 A.4.2 Filling loads
A.4.3 Discharge loads
A.4.4 Imposed loads
A.4.5 Snow loads
A.4.6 Wind loads
A.4.7 Thermal actions
120 A.4.8 Imposed deformations
A.4.9 Seismic loadings
A.4.10 Accidental actions
A.4.11 Actions during execution
121 A.5 Design service life
A.6 Design situations for silos
122 Annex B (informative)Actions and combinations of actions on tanks
B.1 Use of this annex
B.2 Scope and field of application
B.3 General
B.4 Actions on tanks
B.4.1 Self-weight
123 B.4.2 Tank loads
B.4.2.1 Liquid loads
B.4.2.2 Internal gas or vapour pressure loads
B.4.2.3 Process temperatures
B.4.3 Imposed loads
B.4.4 Snow loads
B.4.5 Wind loads
124 B.4.6 Thermally induced loads
B.4.7 Loads from vibrating machinery
B.4.8 Imposed deformations
125 B.4.9 Seismic loadings
B.4.10 Test loads
B.4.11 Accidental actions
126 B.4.12 Actions during execution
B.5 Design service life
127 Annex C (normative)Values of the properties of particulate solids
C.1 Use of this annex
C.2 Scope and field of application
C.3 Defined values
131 Annex D (normative)Measurement of properties of solids for silo load evaluation
D.1 Use of this annex
D.2 Scope and field of application
D.3 Classification of granular particulate solids
D.3.1 General
D.3.2 Flow Group A. Coarse-grained granular solids which do not develop cohesion
132 D.3.3 Flow Group B. Solids that are susceptible to developing minor cohesion during consolidation that disappears under shear strains during flow
D.3.4 Flow Group C. All other relatively isotropic particulate solids developing significant cohesion
D.3.5 Flow Group D. Highly anisotropic particulate solids
D.4 Flow Group and different particulate solids behaviour when in silos
134 D.5 Object of the property measurement test processes
D.6 Field of application
D.7 Notation
135 D.8 Definitions
D.8.1 secondary parameter
D.8.2 sampling
D.8.3 reference stress
D.9 Sampling and preparation of samples
136 D.10 Bulk unit weight γ
D.10.1 Principle of the test
137 D.10.2 Apparatus
D.10.3 Procedure
D.11 Wall friction
138 D.12 Coefficient of wall friction μ for the determination of pressures
D.12.1 Principle of the test
D.12.2 Apparatus
D.12.3 Procedure
139 D.13 Angle of wall friction ϕwh for the evaluation of flow
D.14 Lateral pressure ratio K
D.14.1 Direct measurement
D.14.1.1 Principle of the test
140 D.14.1.2 Apparatus
D.14.1.3 Procedure
141 D.14.2 Indirect measurement
D.15 Strength parameters: cohesion c and internal friction angle ϕi
D.15.1 Direct measurement
D.15.1.1 Principle of the test
143 D.15.1.2 Apparatus
D.15.1.3 Procedure
D.15.1.4 Interpretation
144 D.15.2 Indirect measurement
145 D.16 Angle of repose ϕr
D.17 Effective elastic moduli Es
D.17.1 Direct measurement
D.17.1.1 Principle of the test
D.17.1.2 Apparatus
146 D.17.1.3 Procedure
147 D.17.2 Indirect assessment
148 D.18 Assessment of the upper and lower characteristic values of a property and determination of the conversion factor a
D.18.1 Principle
149 D.18.2 Method of estimation
151 Annex E (informative)Evaluation of properties of solids for certain conditions
E.1 Use of this annex
E.2 Scope and field of application
E.3 Evaluation of the wall friction coefficient for a corrugated wall
152 E.4 Internal and wall friction for coarse-grained solids without fines
153 E.5 Effective wall friction evaluation for silo walls with internal stiffeners
154 Annex F (informative)Actions due to dust explosions
F.1 Use of this annex
F.2 Scope and field of application
F.3 Explosive dusts and relevant properties
155 F.4 Ignition sources
F.5 Protective precautions
156 F.6 Design of structural elements
F.7 Design for the consequences of a dust explosion
157 Annex G (informative)Flow charts to aid in the use of this standard
G.1 Use of this annex
G.2 Scope and field of application
BSI 24/30457270 DC 2024
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