Introduction – validation des diamants

Les résultats de Diamonds ont été largement testés. La table des matières en bas de cet article donne un aperçu de tous les tests déjà publiés. Cette liste s’allongera à l’avenir.

Chaque épreuve comprend :

• une description de l’essai (géométrie + matériaux + conditions aux limites + charges)
• les résultats d’une source indépendante avec laquelle les résultats de Diamonds ont été comparés
• les résultats en Diamonds
• la différence exprimée en pourcentage:

• une référence à la source indépendante

Pour organiser les tests, chacun d’entre eux est précédé d’un code selon le principe suivant :

• Pour l’analyse

• Pour les charges

• Pour la conception

Contenu

Analyse

• Statique
  1. SLL 01: Fixed beam with various loads
  2. SLL 02: Shear deformation in simply supported beam
  3. SLL 03: Beam on three supports
  4. SLL 04: Stepped cantilever loaded with torsion
  5. SLL 05: Bending of rigidly connected beams
  6. SLL 06: Beam on elastic foundation
  7. SLL 07: Beam on elastic foundation, simply supported ends
  8. SLL 08: Axial force in eccentric beam
  9. SLL 09: Unsymmetric bending
  10. SLL 10: Elastic stresses in L-section
  11. SLX 01: Spacial structure with elastic supports
  12. SLX 02: System of two bars and three hinges
  13. SLX 03: Framework of articulated bars under concentrated load
  14. SLX 04: Hyperstatic porch loaded in the plane
  15. SLX 05: Frame with lateral connections
  16. SLX 06: In plane bending of an arc
  17. SLX 07: Out of the plane bending of an arc
  18. SLX 08: Simply supported thin arc under inplane bending
  19. SLX 09: Pre-stressed bar
  20. SLX 10: Global imperfections
  21. SLS 01: Cantilever, rectangular plate under uniform load
  22. SLS 02: Simply supported, square plate under uniform load
  23. SLS 03: Simply supported, circular plate under uniform load
  24. SLS 04: Thin cylinder under a uniform radial load
  25. SLS 05: Thin cylinder under a uniform axial load
  26. SLS 06: Thin cylinder under a hydrostatic pressure
  27. SLS 07: Thin cylinder under its self-weight
  28. SLS 08: Thin cylinder under point loads
  29. SLS 09: Four-sides simply supported plate under uniform load
  30. SLS 10: Simply supported rectangular plate loaded with punctual force and moments
  31. SLS 11: Plate under perpendicular shear
  32. SLS 12: Stress concentration in perforated plate
  33. SLS 13: Principal forces and stresses in a plate

• Dynamique
  34. DLD 01: Mass-spring system with 2 degrees of freedom – eigen modes
  35. DLD 02: Mass-spring system with 2 degrees of freedom – modal information
  36. DLL 01: Slender short beam – simply supported – eigenfrequencies
  37. DLL 02: Slender folded beam, one end fixed other free – eigenfrequencies
  38. DLL 03: Slender beam fixed at both ends with different inertia – dynamic response
  39. DLL 04: Slender beam simply supported subjected to axial load – eigen modes – global buckling
  40. DLL 05: Slender beam – cantilever – tapered section – eigenfrequencies
  41. DLL 06 : Cantilever beam with eccentric mass – eigenfrequencies
  42. DLX 01: Spacial structrure – eigenfrequencies
  43. DLX 02: Slender frame – eigenfrequencies
  44. DLX 03: Planar frame – dynamic response
  45. DLX 04: Thin circle – fixed at two points – eigenfrequencies
  46. DLX 05: Thin circle – fixed on elastic plate – eigenfrequencies
  47. DLX 06: Thin walled tube section – eigenfrequencies
  48. DLS 01: Cantilever square thin plate – eigenfrequencies
  49. DLS 02: Lozenge – shaped thin plate with one edge fixed – eigenfrequencies
  50. DLS 03: Rectangular thin plate – simply supported – eigenfrequencies
  51. DLS 04: Circular plate fixed at inner edge – eigenfrequencies
  52. DLS 05: Compressor blade: thin shell – eigenfrequencies
• Thermique
  53. TLL 01: Beam under temperature load
  54. TLS 01: Plate under temperature load

Charges

55. LW EC [G1] 01: Wind loads on duo pitched roof
56. LS EC [G1] 01: Snow loads on duo pitched roof

Dimensionnement

Béton

57. DC EC [G1] 01: shear reinforcement in beam
58. DC EC [G1] 02: longitudinal reinforcement in beam under pure bending (singly reinforced – ULS)
59. DC EC [G1] 03: longitudinal reinforcement in column under pure compresssion
60. DC EC [G1] 04: cracked deformation in beam under pure bending (SLS design)
61. DC EC [G1] 05: longitudinal reinforcement in column under compression and bending (ULS)
62. DC EC [G1] 06: 2nd order effect in a column
63. DC EC [G1] 07: reinforcement in beam shear and torsion (ULS design)
64. DC EC [G1] 08: cracking widths in beam under pure bending (SLS design)
65. DC EC [G1] 09: shear reinforcement (under 45°) in beam
66. DC EC [G1] 10: stress limites in beam under pure bending (SLS)
67. DC EC [G1] 11: longitudinal reinforcement in beam under pure bending (doubly reinforced – ULS)
68. DC EC [G1] 12: longitudinal reinforcement in beam under pure bending (ULS FI design)
69. DC EC [G1] 13: longitudinal reinforcement in column under pure compression (ULS FI design)
70. DC EC [G1] 14: longitudinal reinforcement in a plate under pure bending (ULS FC design)

Acier

71. DS EC [G1] 01: Buckling resistance of a pinned column with intermediate restraints
72. DS EC [G1] 02: Fire design of unprotected HEB column exposed to the standard fire curve (buckling)
73. DS EC [G1] 03: Fire design of protected HEB column exposed to the standard fire curve (buckling)
74. DS EC [G1] 04: Fire resistance of a welded box section (bending)
75. DS EC [G1] 05: Lateral torsional buckling of an H-section
76. DS EC [G1] 06: Buckling y’ and lateral torsional buckling (Method 1) of an H-section
77. DS EC [G1] 07: Buckling y’ and lateral torsional buckling (Method 2) of an I-section

Bois

77. DT EC [G1] 01: Shear verification
78. DT EC [G1] 02: Lateral torsional buckling
79. DT EC [G1] 03: Buckling in and out of the plane