Verified models for structural analysis
7.8 List of verified models
All 108 models which were developed and verified as part of this research are listed below, the brief description following cf. describes the type of self-check which has been used to compare key values calculated by the self check with their equivalent values calculated by NL-STRESS. All the classical self check methods included in the following list are reviewed in chapter 2.
vm110 Deflection of beams including shear cf. Chebyshev polynomials.
vm112 Cantilevered beam cf. equilibrium, compatibility & energy.
vm113 Cantilevered beam with many loads cf. unit load method.
vm114 Tapered cantilevered beam cf. unit load method.
vm115 Cantilevered beam with tie down span cf. Roark.
vm117 Subframe, continuous beam + columns cf. equilibrium, compatibility & energy.
vm120 Continuous beam with pattern loadings cf. Hardy Cross.
vm122 Two member lean-to or Mansard beam cf. equilibrium, compatibility & energy.
vm123 Three member lean-to/Mansard beam cf. equilibrium, compatibility & energy.
vm124 Three member cranked beam cf. equilibrium, compatibility & energy.
vm130 Ground beam on an elastic foundation cf. Hetényi.
vm131 Ground beam on elastic piles cf. flexibility.
vm140 Influence lines cf. Müller-Breslau.
vm150 Pratt through truss cf. method of joints.
vm153 Pratt deck truss cf. method of joints.
vm156 Howe through truss cf. method of joints.
vm159 Howe deck truss cf. method of joints.
vm162 Warren through truss cf. method of joints.
vm164 Warren through truss with verticals cf. method of joints.
vm165 Warren deck truss cf. method of joints.
vm168 Warren deck with verticals cf. method of joints.
vm171 Two rafter with tie cf. method of joints.
vm172 Two rafters, post & tie cf. method of joints.
vm173 King post roof truss cf. method of joints.
vm174 Three segment rafters, Pratt internals roof truss cf. method of joints.
vm175 Three segment rafters, Howe internals roof truss cf. method of joints.
vm177 Trussed rafter, or Fink roof truss cf. method of joints.
vm178 Three segment trussed rafter, Warren internals roof truss cf. method of joints.
vm179 Three segment rafters, Warren internals roof truss cf. method of joints.
vm181 Mansard truss cf. method of joints.
vm202 Pipe tree having two branches cf. equilibrium, compatibility & energy.
vm203 Pipe tree having four branches cf. equilibrium, compatibility & energy.
vm204 Pipe tree having six branches cf. equilibrium, compatibility & energy.
vm207 One storey bent, vertical/raking columns cf. equilib., compatibility & energy.
vm208 Two storey bent, vertical/raking columns cf. equilib., compatibility & energy.
vm209 Three storey bent, vertical/raking columns cf. equilib., compatibility & energy.
vm210 Bent cf. column analogy.
vm211 Rigid pile cap cf. Reinforced Concrete Designers' Handbook.
vm215 Ridged portal frame, pinned/fixed feet cf. equilibrium, compatibility & energy.
vm216 Mansard portal cf. equilibrium, compatibility & energy.
vm217 Gable frame with inclined legs cf. equilibrium, compatibility & energy.
vm218 Portal with skewed corners cf. equilibrium, compatibility & energy.
vm219 Trapezoidal frame cf. equilibrium, compatibility & energy.
vm220 Two bay ridged portal cf. Kleinlogel.
vm223 Multi bay ridged portal, pinned/fixed feet cf. equilibrium, compatibility & energy.
vm225 Couple roof frame cf. equilibrium, compatibility & energy.
vm226 Couple close roof frame cf. equilibrium, compatibility & energy.
vm227 Collar-tie roof frame cf. equilibrium, compatibility & energy.
vm228 Collar-and-tie roof frame cf. equilibrium, compatibility & energy.
vm230 Attic roof frame cf. equilibrium, compatibility & energy.
vm232 Fink room roof frame cf. equilibrium, compatibility & energy.
vm233 King post roof frame cf. equilibrium, compatibility & energy.
vm234 Queen post roof frame cf. equilibrium, compatibility & energy.
vm235 Tied Mansard roof frame cf. equilibrium, compatibility & energy.
vm241 Vierendeel girder cf. equilibrium, compatibility & energy.
vm242 Vierendeel roof frame cf. equilibrium, compatibility & energy.
vm244 N/Pratt lattice portal/girder cf. equilibrium, compatibility & energy.
vm245 Howe lattice portal/girder cf. equilibrium, compatibility & energy.
vm246 Warren portal/girder end diags in tension cf. equilibrium, compatibility & energy.
vm247 Warren portal/girder end diags in compr. cf. equilibrium, compatibility & energy.
vm260 Multi-storey frame cf. Hardy Cross.
vm262 Multi storey frame cf. equilibrium, compatibility & energy.
vm270 Pierced shear walls cf. Magnus.
vm280 Two pinned circular arch cf. Pippard & Baker.
vm281 Encastré circular arch cf. Pippard & Baker.
vm282 Two pinned parabolic arch cf. Pippard & Baker.
vm283 Encastré parabolic arch cf. Pippard & Baker.
vm290 Outrigged frame cf. Castigliano.
vm291 Braced outrigged frame cf. Castigliano.
vm300 Cantilever or propped cantilever cf. equilibrium, compatibility & energy.
vm301 Circular arc cantilever cf. Pippard & Baker.
vm302 Circular arc bow girder cf. Pippard & Baker.
vm310 Grillage of beams cf. Pilkey & Chang.
vm311 Grillage of beams cf. equilibrium, compatibility & energy.
vm410 Plastic analysis of cantilever cf. equilibrium, compatibility & energy.
vm411 Plastic analysis of propped cantilever cf. equilibrium, compatibility & energy.
vm420 Plastic analysis of continuous beam cf. equilibrium, compatibility & energy.
vm430 Plastic analysis of rectangular portal cf. equilibrium, compatibility & energy.
vm435 Plastic analysis of ridged portal cf. equilibrium, compatibility & energy.
vm436 Plastic analysis of multi bay ridged portal cf. equilibrium, compatibility & energy.
vm440 Plastic analysis of multi storey frame cf. equilibrium, compatibility & energy.
vm501 Cantilever beam in space cf. equilibrium, compatibility & energy.
vm510 Four legged stool space frame cf. equilibrium, compatibility & energy.
vm520 Spiral stairs space frame cf. equilibrium, compatibility & energy.
vm601 Plate with out of plane point loading cf. Navier double trigonometric series.
vm602 Flat plate in flexure with area loading cf. Navier double trigonometric series.
vm605 Floor panel with hole cf. equilibrium, compatibility & energy.
vm610 Plate with free edge cf. finite differences & exact formulae.
vm618 Plate/wall in extension with hole cf. equilibrium, compatibility & energy.
vm620 Circular balcony cf. classical analysis & Roark.
vm630 Spherical shell cf. Roark's Formulas for Stress & Strain.
vm640 Torque on I-section cf. analysis by Roark & Timoshenko.
vm641 Biaxial bending and/or torque on rectangular hollow section cf. Roark.
vm642 Bending and/or torque on T-section cf. Roark.
vm643 Bending and/or torque on channel section cf. Roark.
vm644 Torque on angle section cf. Roark.
vm650 Circular tank cf. analysis by Timoshenko & Woinowski-Krieger.
vm710 Natural frequency of beam or frame cf. flexibility & latent root.
vm718 Natural frequency of built-in plate cf. Roark & Warburton.
vm720 Natural frequency of simply supported plate cf. Navier, flexibility & latent root.
vm802 Cantilever beam with large displacements cf. equilibrium, compatibility & energy.
vm810 Stability of columns with various supports cf. classical formulae by Euler.
vm830 Stability of circular ring/pipe cf. classical formulae by Roark.
vm850 Stability of cantilever with udl & end load cf. equilibrium, compatibility & energy.
vm852 Non-linear elastic analysis of multi storey frame cf. equilib., compat. & energy.
vm950 Hanging cable with flexible platform cf. Pippard & Baker.
vm951 Suspension bridge with three pinned stiffening girder cf. Pippard & Baker.
vm952 Suspension bridge with two pinned stiffening girder cf. Pippard & Baker.
Figure 7.1, which follows on pages 100 to 105, shows the structural framework for the verified models listed in above.
Simply supported
110
Cantilevered beam
112
Cantilevered beam with many loads
113
Cantilevered beam with taper
114
Cantilevered beam with tie down span
115
Subframe
117
Continuous beam
120
Two member lean-to or Mansard beam
122
Three member lean-to or Mansard beam
123
Cranked beam
124
Ground beam on elastic foundation
130
Ground beam on elastic piles
131
Influence lines
140
Pratt through truss
150
Pratt deck truss
153
Howe through truss
156
Howe deck truss
159
Warren through truss
162
Warren through truss
Portal
210
Rigid pile cap with many piles
211
Ridged portal
215
Mansard portal
216
Gable fame with inclined legs
217
Portal frame with skewed corners
218
Trapezoidal frame
219
2 bay ridged portal
220
Multi bay haunched ridged portal
223
Couple roof
225
Couple close roof
226
Collar-tie roof frame
227
Collar-and-tie frame
228
Attic roof frame
230
Fink roof frame
232
King post roof frame
233
Queen post roof frame
234
Tied Mansard roof frame
235
Vierendeel girder
Grillage of beams classical check
310
Grillage of beams modern check
311
Plastic analysis of cantilever
410
Plastic analysis of propped cantilever
411
Plastic analysis of continuous beam
420
Plastic analysis of rectangular portal
430
Plastic analysis of ridged portal
435
Plastic analysis of multi bay portal
436
Plastic analysis of multi storey frame
440
Cantilever as space frame
501
Four legged stool
510
Spiral stairs
520
Plate with point loads
601
Plate with area loads
602
Plate with hole
605
Plate with free edge
610
Plate in extension
618
Circular balcony
620
Spherical shell