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Tables of Contents for Plastic Design to Bs 5950
Chapter/Section Title
Page #
Page Count
Foreword
ix
 
1 Introduction
1
21
1.1 Elastic and plastic properties of structural steel
1
3
1.2 Basis of plastic design
4
5
1.3 Evaluation of the full plastic moment
9
3
1.4 Reduction of the full plastic moment due to an axial thrust
12
4
1.5 Effect of shear
16
1
1.6 Unsymmetrical sections
16
1
1.7 Effect of holes
16
1
1.8 Loads and load factors
17
2
1.8.1 Snow loads
17
1
1.8.2 Notional horizontal loads
18
1
1.8.3 Crane loads
19
1
1.9 Deflections
19
1
1.10 Economy gained by using BS 5950
20
1
References
21
1
2 Principles of Plastic Design
22
63
2.1 Criteria for a valid collapse mechanism
22
4
2.2 Plastic analysis of continuous beams
26
6
2.3 Simple portal frames
32
5
2.4 Partial and overcomplete collapse
37
3
2.5 Further considerations in the analysis of portal frames
40
13
2.5.1 The implications of partial collapse in more complex frames
46
7
2.6 Frames with sloping members
53
21
2.6.1 Pitched roof portal frames using free and reactant bending moment diagrams
57
3
2.6.2 Pitched roof portal frames subject to uniformly distributed load
60
7
2.6.3 Pitched roof portal frames subject to wind load
67
3
2.6.4 Geometry of the reactant diagram
70
4
2.7 Alternative graphical method for pinned-based portal frames
74
3
2.8 Optimum plastic design
77
6
2.8.1 General method of minimum weight design
83
2
3 Further Considerations in Plastic Design
85
47
3.1 Elastic-plastic analysis
85
7
3.1.1 False mechanisms
87
1
3.1.2 Transient plastic hinges
88
3
3.1.3 Shakedown
91
1
3.2 Second-order effects
92
18
3.2.1 The Merchant-Rankine formula
95
3
3.2.2 Second-order effects in pitched roof frames according to BS 5950
98
3
3.2.3 Improved treatment of second-order effects in portal frames
101
3
3.2.4 Influence of partial base fixity
104
2
3.2.5 Stability of multi-span portal frames
106
1
3.2.6 Stability of the internal rafters of multi-span frames
106
1
3.2.7 Stability of portal frames with internal valley beams or props
107
2
3.2.8 The design of portal frames taking into account second-order effects
109
1
3.3 Member stability
110
20
3.3.1 Overview of the clauses dealing with member stability
112
2
3.3.2 Restraints
114
1
3.3.3 Influence of the shape of the bending moment diagram
115
4
3.3.4 Member stability calculations for beams
119
6
3.3.5 Portal frame member stability
125
5
3.3.6 The stability of members in multi-storey frames
130
1
References
130
2
4 Plastic Design of Beams
132
21
4.1 General
132
1
4.2 Example 4.1. Continuous beam of uniform section
133
8
4.2.1 Choice of section size
133
2
4.2.2 Effect of shear forces
135
1
4.2.3 Plastic hinge history
135
2
4.2.4 Member stability
137
3
4.2.5 Effect of settlement at a support
140
1
4.3 Example 4.2. Non-uniform section beam
141
10
4.3.1 Effect of shear forces
143
1
4.3.2 Strengthened beam section
143
2
4.3.3 Flange plate curtailment position
145
1
4.3.4 Plastic hinge history
146
2
4.3.5 Member stability
148
3
4.3.6 Effect of settlement
151
1
4.4 Alternative non-uniform section design for Example 4.2
151
1
4.5 Comparison of designs
152
1
Reference
152
1
5 Plastic Design of a Pitched Roof Portal Frame Building
153
54
5.1 Introduction
153
1
5.2 Design of the main frames
153
8
5.2.1 Downward loads (on plan area)
153
3
5.2.2 Notional horizontal loads
156
1
5.2.3 Wind load
156
1
5.2.4 Choice of the main frame members
157
2
5.2.5 Influence of notional horizontal loads
159
2
5.3 Check for second-order effects
161
1
5.4 Length of haunch
162
1
5.5 Elastic-plastic computer analysis
162
1
5.6 Bracing of portal frame rafters
163
7
5.6.1 Rafter stability based on manual analysis
164
3
5.6.2 An important improvement when the rafter hinge is the last to form
167
1
5.6.3 Layout of purlins along the rafter
168
2
5.7 Stability of the haunch region
170
5
5.7.1 Section properties of the haunch
171
4
5.8 Stanchion stability
175
1
5.9 Design of the eaves connection
176
11
5.9.1 Capacity of the tensile bolt group
177
1
5.9.2 Capacity of the shear bolt group
178
1
5.9.3 Shear capacity of the column web
178
1
5.9.4 Thickness of the end-plate
179
2
5.9.5 Strengthening of the flange of the stanchion in tension
181
2
5.9.6 Bearing and buckling of the stanchion web in compression
183
3
5.9.7 Strength of the welds connecting the haunched rafter to the end-plate
186
1
5.9.8 Rafter and stanchion webs in tension
187
1
5.10 Design of the ridge connection
187
2
5.11 Design of the base plate
189
1
5.12 Check under wind loads
189
5
5.12.1 Wind load cases
190
2
5.12.2 Manual analysis of wind Case A
192
2
References
194
1
Appendix 5A Approximate method for single-bay frames
194
3
Appendix 5B Elastic-plastic analysis of the designed frame
197
5
Appendix 5C Elastic-plastic analysis for the wind load cases
202
5
6 Plastic Design of Multi-storey Buildings
207
31
6.1 General
207
1
6.2 Non-sway frames
208
1
6.3 Sway frames
209
2
6.3.1 Design procedure for sway frames using the simplified method
210
1
6.4 Example 6.1. Design of a sway frame
211
26
6.4.1 General
211
1
6.4.2 Loading
211
6
6.4.3 Preliminary member sizing
217
6
6.4.4 Elastic critical load factor XXX(cr) and the required rigid-plastic load factor XXX(p)
223
2
6.4.5 Final check of the sway frame at the ultimate limit state
225
1
6.4.6 Final check of the non-sway frame at the ultimate limit state
226
3
6.4.7 Elastic analysis check under unfactored loads
229
2
6.4.8 Deflections at the serviceability limit state
231
2
6.4.9 Design of the floor beam to stanchion connection
233
4
References
237
1
7 Miscellaneous Portals
238
32
7.1 Introduction
238
1
7.2 Crane buildings
239
9
7.2.1 Example 7.1. Design of a crane building
240
8
7.3 Portal frame with an intermediate floor
248
5
7.3.1 Example 7.2. Portal frame with an intermediate floor
249
4
7.4 Tied portal frame
253
4
7.4.1 Example 7.3. Tied portal
254
3
7.5 Monitor roof portal frame
257
5
7.5.1 Example 7.4. Monitor roof portal
258
2
7.5.2 Example 7.5. Monitor portal with exceptional snow load
260
2
7.6 North light portal frames
262
4
7.6.1 Example 7.6. North light portal frame
263
3
7.7 Lean-to portal frames
266
3
7.7.1 Example 7.7. Lean-to portal frame
266
3
Reference
269
1
8 Multi-span Portal Frames
270
29
8.1 General
270
3
8.2 Example 8.1. Three-span portal frame
273
13
8.2.1 Design for symmetrical snow loading
273
10
8.2.2 Design for exceptional snow loading
283
3
8.3 Example 8.2. Three-span portal frame supported on valley beams
286
2
8.3.1 Symmetrical snow loading
286
1
8.3.2 Exceptional snow loading
287
1
8.4 Example 8.3. Two-span portal frame with unequal spans
288
4
8.5 Example 8.4. Buttressed multi-span portal frame
292
6
References
298
1
9 Design of Agricultural Buildings
299
6
9.1 Introduction
299
1
9.2 Design code for agricultural buildings
299
3
9.2.1 Building classification
300
2
9.3 Design with simpler details
302
1
9.4 Loads from stored crops
303
1
References
304
1
10 Performance of Agricultural Buildings - Two Case Studies
305
18
10.1 Introduction
305
1
10.2 General arrangement for the tests
305
4
10.3 Details of Frame 1
309
3
10.4 Theoretical analysis of Frame 1
312
1
10.5 Behaviour of the first test frame
313
3
10.6 Details of Frame 2
316
2
10.7 Test sequence for Frame 2
318
1
10.8 Theoretical analysis of Frame 2
318
4
10.8.1 Load case 1 (vertical load only)
318
1
10.8.2 Load case 2 (side load only)
318
1
10.8.3 Load case 3 (combined loading)
319
1
10.8.4 Load case 4 (combined loading)
320
1
10.8.5 Load case 5 (combined loading)
320
2
10.9 Conclusions from the tests on Frame 2
322
1
10.10 Acknowledgement
322
1
References
322
1
Index
323