Cyclone Hopper
Lifting Calculations
Tables of Contents
1. Summary
1.1 Description of the case
1.2 Rigging Analysis (Position from 0o to 90o)
1.3 Rigging Analysis (Position from 90o to 180o)
1.4 List of worst case
1.5 Case - 1 (0o & α = 90o)
1.6 Case - 2 (20o & α = 70o)
1.7 Case - 3 (58o & α = 32o)
1.8 Case - 4 (90o & α = 0o)
1.9 Case - 5 (98.36o & α = - 8.36o) Storage
1.10
Case - 6 (8.36 & α = 8.36o) from Storage
1.11
Case - 7 (65o & α = 65o)
1.12
Case - 8 (90o & α = 90o)
2. Assumptions
2.1 Mish Type
2.1.1 General Mish Proprieties
2.1.2 Mish Control
2.1.3 Convergence Setting
2.2 Cyclone Hopper Detail
2.3 Bottom Lifting Device dimensions
2.4 Top Lifting Device dimensions
Case-1
3. Model Definition
3.1 Group Definition
Table 3.1.1 Group Definition
Table 3.1.2 Part Mass Properties
3.2 Contact Definition
3.3 Material Properties
Table 3.3.1 Isotropic Material Definition
3.4 Mesh
Table 3.4.1 Element Initial Distortion Summary
4. Environment
4.1 Structural Loading
Table 4.1.1 Applied Load Vector Resultant
4.2 Structural Support
Table 4.2.1 Reaction Load Vector Resultant
5. Solution
Table 5.1.1 Displacement Summary
Table 5.1.2 Peak Displacement Component Summary
Table 5.1.3 Stress Results Summary
Table 5.1.4 Solution Error Measure and the Relative Stress Error Summary
6. Conclusion
7. Glossary
Case-2
8. Model Definition
8.1 Group Definition
Table 8.1.1 Group Definition
Table 8.1.2 Part Mass Properties
8.2 Contact Definition
8.3 Material Properties
Table 8.3.1 Isotropic Material Definition
8.4 Mesh
Table 8.4.1 Element Initial Distortion Summary
9. Environment
9.1 Structural Loading
Table 9.1.1 Applied Load Vector Resultant
9.2 Structural Support
Table 9.2.1 Reaction Load Vector Resultant
10. Solution
Table 10.1.1 Displacement Summary
Table 10.1.2 Peak Displacement Component Summary
Table 10.1.3 Stress Results Summary
Table 10.1.4 Solution Error Measure and the Relative Stress Error Summary
11. Conclusion
12. Glossary
Case-3
13. Model Definition
13.1 Group Definition
Table 13.1.1 Group Definition
Table 13.1.2 Part Mass Properties
13.2 Contact Definition
13.3 Material Properties
Table 13.3.1 Isotropic Material Definition
13.4 Mesh
Table 13.4.1 Element Initial Distortion Summary
14. Environment
14.1 Structural Loading
Table 14.1.1 Applied Load Vector Resultant
14.2 Structural Support
Table 14.2.1 Reaction Load Vector Resultant
15. Solution
Table 15.1.1 Displacement Summary
Table 15.1.2 Peak Displacement Component Summary
Table 15.1.3 Stress Results Summary
Table 15.1.4 Solution Error Measure and the Relative Stress Error Summary
16. Conclusion
17. Glossary
Case-4
18. Model Definition
18.1 Group Definition
Table 18.1.1 Group Definition
Table 18.1.2 Part Mass Properties
18.2 Contact Definition
18.3 Material Properties
Table 18.3.1 Isotropic Material Definition
18.4 Mesh
Table 18.4.1 Element Initial Distortion Summary
19. Environment
19.1 Structural Loading
Table 19.1.1 Applied Load Vector Resultant
19.2 Structural Support
Table 19.2.1 Reaction Load Vector Resultant
20. Solution
Table 20.1.1 Displacement Summary
Table 20.1.2 Peak Displacement Component Summary
Table 20.1.3 Stress Results Summary
Table 20.1.4 Solution Error Measure and the Relative Stress Error Summary
21. Conclusion
22. Glossary
Case-5
23. Model Definition
23.1 Group Definition
Table 23.1.1 Group Definition
Table 23.1.2 Part Mass Properties
23.2 Contact Definition
23.3 Material Properties
Table 23.3.1 Isotropic Material Definition
23.4 Mesh
Table 23.4.1 Element Initial Distortion Summary
24. Environment
24.1 Structural Loading
Table 24.1.1 Applied Load Vector Resultant
24.2 Structural Support
Table 24.2.1 Reaction Load Vector Resultant
25. Solution
Table 25.1.1 Displacement Summary
Table 25.1.2 Peak Displacement Component Summary
Table 25.1.3 Stress Results Summary
Table 25.1.4 Solution Error Measure and the Relative Stress Error Summary
26. Conclusion
27. Glossary
Case-6
28. Model Definition
28.1 Group Definition
Table 28.1.1 Group Definition
Table 28.1.2 Part Mass Properties
28.2 Contact Definition
28.3 Material Properties
Table 28.3.1 Isotropic Material Definition
28.4 Mesh
Table 28.4.1 Element Initial Distortion Summary
29. Environment
29.1 Structural Loading
Table 29.1.1 Applied Load Vector Resultant
29.2 Structural Support
Table 29.2.1 Reaction Load Vector Resultant
30. Solution
Table 30.1.1 Displacement Summary
Table 30.1.2 Peak Displacement Component Summary
Table 30.1.3 Stress Results Summary
Table 30.1.4 Solution Error Measure and the Relative Stress Error Summary
31. Conclusion
32. Glossary
Case-7
33. Model Definition
33.1 Group Definition
Table 33.1.1 Group Definition
Table 33.1.2 Part Mass Properties
33.2 Contact Definition
33.3 Material Properties
Table 33.3.1 Isotropic Material Definition
33.4 Mesh
Table 33.4.1 Element Initial Distortion Summary
34 Environment
34.1 Structural Loading
Table 34.1.1 Applied Load Vector Resultant
34.2 Structural Support
Table 34.2.1 Reaction Load Vector Resultant
35. Solution
Table 35.1.1 Displacement Summary
Table 35.1.2 Peak Displacement Component Summary
Table 35.1.3 Stress Results Summary
Table 35.1.4 Solution Error Measure and the Relative Stress Error Summary
36. Conclusion
37. Glossary
Case-8
38. Model Definition
38.1 Group Definition
Table 38.1.1 Group Definition
Table 38.1.2 Part Mass Properties
38.2 Contact Definition
38.3 Material Properties
Table 38.3.1 Isotropic Material Definition
38.4 Mesh
Table 38.4.1 Element Initial Distortion Summary
39 Environment
39.1 Structural Loading
Table 39.1.1 Applied Load Vector Resultant
39.2 Structural Support
Table 39.2.1 Reaction Load Vector Resultant
40. Solution
Table 40.1.1 Displacement Summary
Table 40.1.2 Peak Displacement Component Summary
Table 40.1.3 Stress Results Summary
Table 40.1.4 Solution Error Measure and the Relative Stress Error Summary
41. Conclusion
42. Glossary
1. Summary
The report documents design and analysis using Autodesk Nastran engineering simulation software. A linear static
analysis was performed using the finite element model shown in the figure below. The model is divided into 1 property
group(s). The units system is mm-N-s. The model consists of a total of 1257383 nodes and 612275 elements.
1.1 Description of the case.
Cyclone Hopper is fabricated in a flipped position in site, as per below image.
1.4 List of worst case.
As per above Rigging calculations
The worst cases during lifting from 0o to 90o shall be
1 - At 0o & α = 90o
2 - At 20o & α = 70o
3 - At 58o & α = 32o
4 - At 90o & α = 0o
Transportation or Storage Case
5 - At 98.36o & α = - 8.36o
The worst cases during lifting from 90o to 180o shall be
6 - At 0o & α = 0o (Case 5 will cover, so this case will not be considered)
7 - At 3o & α = 3o (Case 5 will cover, so this case will not be considered)
8 - At 8.36 & α = 8.36o (from Storage Position)
9 - At 65o & α = 65o
10 - At 90o & α = 90o
1-5 Case - 1 (0o & α = 90o)
1-6 Case - 2 (20o & α = 70o)
1-7 Case - 3 (58o & α = 32o)
1-8 Case - 4 (90o & α = 0o)
1-9 Case - 5 (98.36o & α = - 8.36o) Storage Position
1-10 Case – 6 (8.36 & α = 8.36o from Storage Position)
1-11 Case - 7 (65o & α = 65o)
1-12 Case - 8 (90o & α = 90o)
2. Assumptions
1. Displacements are small.
2. Follower forces are ignored.
2.1 Mish Type: Tetrahedral Type is the used type of meshing in the FEA.
Forces Analysis: ‐
Equipment Weight with Lifting Accessories = 10711 kg
Impact Factor = 1.5
Weight Used in Calculation = 10711 kg x 9.81 m/s2 x Impact Factor = 157,612.365 N
Additional Load as acting force on the Cyclone body shall be calculated as
Weight Used in Calculation = Gravity force + (Weight Used in Calculation /3)
Acting force = Weight Used in Calculation ‐ Gravity force = 52537.5 N
2.1.1 General Mish Proprieties
Mish Setting
Advanced Mish Setting
2.1.2 Mish Control
Mish Control for
Bottom Lifting Device
Top Lifting Device
Mish Control for
Cyclone Hopper ‐ Part ‐ 2 (Top Ring)
Cyclone Hopper ‐ Part ‐ 3 (Bottom Ring)
Cyclone Hopper ‐ Part ‐ 4 (Stiff Rings)
Cyclone Hopper ‐ Part ‐ 5 (Other Rings)
Cyclone Hopper ‐ Part ‐ 6 (Long Ribs‐1)
Cyclone Hopper ‐ Part ‐ 7 (Long Ribs‐2)
2.1.3 Convergence Setting
2.2 Cyclone Hopper Detail
2.3 Bottom Lifting Device dimensions
2.4 Top Lifting Device dimensions
Case - 1
3. Model Definition
3.1 Group Definition
The model is divided into 1 property group(s). Details for each group are given in Table 3.1.1.
1. The bounding box for all positioned bodies in the model measures 7520.0 by 6902.0 by 1.55E+04mm along the
basic coordinate system x, y and z axes, respectively.
2. The total mass of the model is 10.73 t.
3. The model center of mass is located at (, , ) mm.
Table 3.1.1 Group Definition
Property Group
SOLID 2
Mass
(t)
Bounding Box
(mm)
Material
7520.0, 6902.0,
1.55E+04
MAT 1
Volume
(mm3)
10.73
Nodes
1.367E+09
1163233
Elements
612275
Table 3.1.2 Part Mass Properties
No Data
3.2 Contact Definition
The model contains 174 contact region(s).
- Adaptive stiffness scaling is enabled.
3.3 Material Properties
3.3.1 Isotropic Material Definition
Material
ID
1
E
2.1E+05
G
8.077E+04
NU
RHO
0.3
7.85E-09
ALPHA
1.2E-05
T-REF
0.0
3.4 Mesh
The finite element mesh is shown in the figure below. The model consists of a total of 1257383 nodes and 612275
elements.
Figure 2 - Finite Element Mesh
4. Environment
4.1 Structural Loading
The finite element environments are shown in the figures below. Applied structural loading is summarized in Table
4.1.1. Applied load vector resultants are defined in the basic coordinate system. Moments are summed about location
(0.0,0.0,0.0).
Table 4.1.1 Applied Load Vector Resultant
Resultant Force(N)
Subcase
SUBCASE 1
XT
YT
0.0
Resultant Moment(N mm)
ZT
XR
YR
ZR
0.0 1.577E+05 1.069E+06 1.626E+04
0.0
4.2 Structural Support
Reaction loads are summarized in Table 4.2.1. Reaction load vector resultants are defined in the basic coordinate
system. Moments are summed about location (0.0,0.0,0.0).
Table 4.2.1 Reaction Load Vector Resultant
Resultant Force (N)
Subcase
SUBCASE 1
XT
5.695E-03
YT
Resultant Moment(N mm)
ZT
-7.84E-03 -1.577E+05
XR
YR
-1.45E+06 -3.463E+06
ZR
1.802E+04
Applied Loads
Load 1 (Gravity force)
Load 2 (Acting force)
Constrain 1 (trunnion -1)
Constrain 2 (trunnion -2)
5. Solution
The solution to the Environment defined in Section 4 applied to the Model defined in Section 3 is given below. The
program selected the PCGLSS linear solver. Total solution time was 1223.1 seconds.The largest solution error
measure was 6.634E-08 for SUBCASE 1.The largest solid element relative stress error was 7.9E-02 for SUBCASE
1.The results are summarized in the table(s) and figure(s) below.
Table 5.1.1 Displacement Summary
Minimum
Displacement (mm)
Subcase
Subcase 1
Maxmium
Displacement (mm)
Property Group
0.5034
Top Lifting Device:1
2.018E-02
Cyclone Hopper
Assembly:1\Cyclone
Hopper - Part - 7
(Long Ribs-2):1
8.283E-02
Cyclone Hopper
Assembly:1\Cyclone
Hopper - Part - 6
(Long Ribs-1):1
7.086E-02
Cyclone Hopper
Assembly:1\Cyclone
Hopper - Part - 5
(Other Rings):1
0.1385
Cyclone Hopper
Assembly:1\Cyclone
Hopper - Part - 4
(Stiff Rings):1
1.848E-02
Cyclone Hopper
Assembly:1\Cyclone
Hopper - Part - 3
(Bottom Ring):1
0.5025
Cyclone Hopper
Assembly:1\Cyclone
Hopper - Part - 2
(Top Ring):1
Subcase 1
Property Group
1.011
Top Lifting Device:1
0.1997
Cyclone Hopper
Assembly:1\Cyclone
Hopper - Part - 7
(Long Ribs-2):1
0.6683
Cyclone Hopper
Assembly:1\Cyclone
Hopper - Part - 6
(Long Ribs-1):1
0.2125
Cyclone Hopper
Assembly:1\Cyclone
Hopper - Part - 5
(Other Rings):1
0.5735
Cyclone Hopper
Assembly:1\Cyclone
Hopper - Part - 4
(Stiff Rings):1
0.1537
Cyclone Hopper
Assembly:1\Cyclone
Hopper - Part - 3
(Bottom Ring):1
0.6597
Cyclone Hopper
Assembly:1\Cyclone
Hopper - Part - 2
(Top Ring):1
1.868E-02
Cyclone Hopper
Assembly:1\Cyclone
Hopper - Part - 1
(Cone):1
0.6686
Cyclone Hopper
Assembly:1\Cyclone
Hopper - Part - 1
(Cone):1
Subcase 1
0.0
Cyclone Hopper
Assembly:1
0.0
Cyclone Hopper
Assembly:1
Subcase 1
0.0
Bottom Lifting
Device:1
0.2184
Bottom Lifting
Device:1
Subcase 1
0.0
Subcase 1
Subcase 1
Subcase 1
Subcase 1
Subcase 1
Subcase 1
1.011
Table 5.1.2 Peak Displacement Component Summary
Displacement Components (mm)
Subcase
XT
YT
ZT
Rotation Components (mm)
XR
YR
ZR
SUBCASE
1
0.2139
0.5817
0.8528
0.0
0.0
0.0
Table 5.1.3 Stress Results Summary
Subcase
Minimum
Principal
Stress
(MPa)
Maximum
Principal
Stress
(MPa)
Property Group
Property Group
Maximum
Von
Mises
Stress
(MPa)
Property Group
Subcase 1
-22.16 Top Lifting Device:1
37.53 Top Lifting Device:1
28.6 Top Lifting Device:1
Subcase 1
Cyclone Hopper
Assembly:1\Cyclone
-6.175
Hopper - Part - 7
(Long Ribs-2):1
Cyclone Hopper
Assembly:1\Cyclone
19.1
Hopper - Part - 7
(Long Ribs-2):1
Cyclone Hopper
Assembly:1\Cyclone
20.06
Hopper - Part - 7
(Long Ribs-2):1
Subcase 1
Cyclone Hopper
Assembly:1\Cyclone
-12.3
Hopper - Part - 6
(Long Ribs-1):1
Cyclone Hopper
Assembly:1\Cyclone
10.19
Hopper - Part - 6
(Long Ribs-1):1
Cyclone Hopper
Assembly:1\Cyclone
10.38
Hopper - Part - 6
(Long Ribs-1):1
Subcase 1
Cyclone Hopper
Assembly:1\Cyclone
-6.183
Hopper - Part - 5
(Other Rings):1
Cyclone Hopper
Assembly:1\Cyclone
15.51
Hopper - Part - 5
(Other Rings):1
Cyclone Hopper
Assembly:1\Cyclone
12.01
Hopper - Part - 5
(Other Rings):1
Subcase 1
Cyclone Hopper
Assembly:1\Cyclone
-2.944
Hopper - Part - 4
(Stiff Rings):1
Cyclone Hopper
Assembly:1\Cyclone
2.764
Hopper - Part - 4
(Stiff Rings):1
Cyclone Hopper
Assembly:1\Cyclone
2.948
Hopper - Part - 4
(Stiff Rings):1
Subcase 1
Cyclone Hopper
Assembly:1\Cyclone
-13.52
Hopper - Part - 3
(Bottom Ring):1
Cyclone Hopper
Assembly:1\Cyclone
31.0
Hopper - Part - 3
(Bottom Ring):1
Cyclone Hopper
Assembly:1\Cyclone
32.89
Hopper - Part - 3
(Bottom Ring):1
Subcase 1
Cyclone Hopper
Assembly:1\Cyclone
-6.506
Hopper - Part - 2
(Top Ring):1
Cyclone Hopper
Assembly:1\Cyclone
4.765
Hopper - Part - 2
(Top Ring):1
Cyclone Hopper
Assembly:1\Cyclone
7.413
Hopper - Part - 2
(Top Ring):1
Subcase 1
Cyclone Hopper
Assembly:1\Cyclone
-10.11
Hopper - Part - 1
(Cone):1
Cyclone Hopper
Assembly:1\Cyclone
43.69
Hopper - Part - 1
(Cone):1
Cyclone Hopper
Assembly:1\Cyclone
39.29
Hopper - Part - 1
(Cone):1
Subcase 1
0.0
Cyclone Hopper
Assembly:1
0.0
Cyclone Hopper
Assembly:1
0.0
Cyclone Hopper
Assembly:1
Subcase 1
-36.56
Bottom Lifting
Device:1
72.65
Bottom Lifting
Device:1
59.02
Bottom Lifting
Device:1
Subcase 1
-36.56
72.65
59.02
Table 5.1.4 Solution Error Measure and the Relative Stress Error Summary
Subcase
SUBCASE 1
Solution Error Measure
6.634E-08
Shell Element Relative
Stress Error
n/a
Solid Element Relative
Stress Error
7.9E-02
Figure 5 - OUTPUT SET: SUBCASE 1 -- DEFORMED TOTAL: (MIN=0, MAX=1.01058) -- CONTOUR:
DISPLACEMENT (mm) (TOTAL)
Figure 6 - OUTPUT SET: SUBCASE 1 -- DEFORMED TOTAL: (MIN=0, MAX=1.01058) -- CONTOUR: SOLID VON
MISES STRESS (MPa)
Figure 7 - OUTPUT SET: SUBCASE 1 -- DEFORMED TOTAL: (MIN=0, MAX=1.01058) -- CONTOUR: SOLID
PRINCIPAL A STRESS (MPa)
Figure 8 - OUTPUT SET: SUBCASE 1 -- DEFORMED TOTAL: (MIN=0, MAX=1.01058) -- CONTOUR: SOLID
PRINCIPAL C STRESS (MPa)
6. Conclusion:
A linear static analysis was performed using the Autodesk Nastran Version 14.0.0.202 finite element solver on the
hnzt7o9o8 structure. The finite element model contained mainly Top Lifting Device:1 elements and consisted of
4162404 degrees of freedom.1 loading condition was analyzed.The maximum displacement was 1.011 mm (load case
Subcase 1)The maximum von Mises stress was 28.6 (load case Subcase 1).
Maximum Von Mises Stress (MPa) = 59.02 @ Bottom Lifting Device
Maximum Principal Stress (MPa) = 72.65 @ Bottom Lifting Device
As all induce stresses are within allowable stress limits one equipment in the lifting condition conclude that
the Cyclone Hopper would be safe during Lifting.
7. Glossary:
Aspect Ratio
Ratio of an element's longest side to its adjacent side.
Bi-Directional Slide
Prevents contacting regions from separating or closing but permits sliding (zero coefficient of friction
Bounding Box
A three-dimensional cube aligned to the global x,y and z axes that exactly contains a body or assembly.
Follower Force
Loads that follow the motion of the structure as it deforms.
General Contact
Models standard nonlinear surface contact with friction if specified.
Relative Stress Error
A measure of mesh convergence (values greater than 0.01 may indicate that further mesh refinement is required
in areas with large stress gradients over a few elements).
Rough Contact
Nonlinear contact that allows separation and closure but does not permit sliding (infinite friction).
Skew Angle
The angle between the lines that join opposite midsides of a quadrilateral face.
Solution Error Measure
A measure of solution quality (values less than 1.0E-07 are generally considered acceptable).
Taper Ratio
The ratio of the areas on the two sides of a diagonal of a quadrilateral face.
Warping Angle
The extent to which a quadrilateral face deviates from being planar.
Welded Contact
Prevents contacting regions from sliding, separating, or closing.
Case – 2
8. Model Definition
8.1 Group Definition
The model is divided into 1 property group(s). Details for each group are given in Table 3.1.1.
1. The bounding box for all positioned bodies in the model measures 7520.0 by 1.199E+04 by 1.562E+04mm along
the basic coordinate system x, y and z axes, respectively.
2. The total mass of the model is 10.73 t.
3. The model center of mass is located at (, , ) mm.
Table 8.1.1 Group Definition
Property Group
SOLID 2
Bounding Box
(mm)
Material
Mass
(t)
7520.0, 1.199E+04,
1.562E+04
MAT 1
Volume
(mm3)
10.73
Nodes
1.367E+09
1164165
Elements
612655
Table 8.1.2 Part Mass Properties
No Data
8.2 Contact Definition
The model contains 174 contact region(s).
- Adaptive stiffness scaling is enabled.
8.3 Material Properties
3.3.1 Isotropic Material Definition
Material
ID
1
E
2.1E+05
G
8.077E+04
NU
RHO
0.3
7.85E-09
ALPHA
1.2E-05
T-REF
0.0
8.4 Mesh
The finite element mesh is shown in the figure below. The model consists of a total of 1258076 nodes and 612655
elements.
Figure 2 - Finite Element Mesh
9. Environment
9.1 Structural Loading
The finite element environments are shown in the figures below. Applied structural loading is summarized in Table
4.1.1. Applied load vector resultants are defined in the basic coordinate system. Moments are summed about location
(0.0,0.0,0.0).
Table 9.1.1 Applied Load Vector Resultant
Resultant Force(N)
Subcase
SUBCASE 1
XT
YT
0.0
Resultant Moment(N mm)
ZT
0.0 1.577E+05
XR
YR
ZR
8.05E+08 3.657E+04
0.0
9.2 Structural Support
Reaction loads are summarized in Table 4.2.1. Reaction load vector resultants are defined in the basic coordinate
system. Moments are summed about location (0.0,0.0,0.0).
Table 9.2.1 Reaction Load Vector Resultant
Resultant Force (N)
Subcase
SUBCASE 1
XT
-9.345E-03
YT
Resultant Moment(N mm)
ZT
XR
YR
-1.008E-02 -1.577E+05 -8.041E+08 -2.395E+06
ZR
9.276E+05
Applied Loads
Load 1 (Gravity force)
Load 2 (Acting force)
Constrain 1 (trunnion -1)
Constrain 2 (trunnion -2)
Constrain 3 (Tailing Lug)
10. Solution
The solution to the Environment defined in Section 4 applied to the Model defined in Section 3 is given below. The
program selected the PCGLSS linear solver. Total solution time was 1307.3 seconds.The largest solution error
measure was 9.426E-09 for SUBCASE 1.The largest solid element relative stress error was 7.486E-02 for SUBCASE
1.The results are summarized in the table(s) and figure(s) below.
Table 10.1.1 Displacement Summary
Subcase
Subcase 1
Subcase 1
Minimum
Displacement (mm)
Property Group
0.0
Top Lifting Device:1
1.759E-02
Cyclone Hopper
Assembly:1\Cyclone
Hopper - Part - 7
(Long Ribs-2):1
Maxmium
Displacement (mm)
Property Group
0.733
Top Lifting Device:1
0.2147
Cyclone Hopper
Assembly:1\Cyclone
Hopper - Part - 7
(Long Ribs-2):1
6.662E-02
Cyclone Hopper
Assembly:1\Cyclone
Hopper - Part - 6
(Long Ribs-1):1
0.3954
Cyclone Hopper
Assembly:1\Cyclone
Hopper - Part - 6
(Long Ribs-1):1
5.849E-02
Cyclone Hopper
Assembly:1\Cyclone
Hopper - Part - 5
(Other Rings):1
0.2285
Cyclone Hopper
Assembly:1\Cyclone
Hopper - Part - 5
(Other Rings):1
0.1982
Cyclone Hopper
Assembly:1\Cyclone
Hopper - Part - 4
(Stiff Rings):1
0.3944
Cyclone Hopper
Assembly:1\Cyclone
Hopper - Part - 4
(Stiff Rings):1
1.512E-02
Cyclone Hopper
Assembly:1\Cyclone
Hopper - Part - 3
(Bottom Ring):1
0.1474
Cyclone Hopper
Assembly:1\Cyclone
Hopper - Part - 3
(Bottom Ring):1
0.1071
Cyclone Hopper
Assembly:1\Cyclone
Hopper - Part - 2
(Top Ring):1
0.3119
Cyclone Hopper
Assembly:1\Cyclone
Hopper - Part - 2
(Top Ring):1
1.483E-02
Cyclone Hopper
Assembly:1\Cyclone
Hopper - Part - 1
(Cone):1
0.3955
Cyclone Hopper
Assembly:1\Cyclone
Hopper - Part - 1
(Cone):1
Subcase 1
Subcase 1
0.0
Cyclone Hopper
Assembly:1
0.0
Cyclone Hopper
Assembly:1
Subcase 1
0.0
Bottom Lifting
Device:1
0.2122
Bottom Lifting
Device:1
Subcase 1
0.0
Subcase 1
Subcase 1
Subcase 1
Subcase 1
Subcase 1
0.733
Table 10.1.2 Peak Displacement Component Summary
Displacement Components (mm)
Subcase
SUBCASE 1
XT
YT
8.192E-02
ZT
0.3298
0.6588
Rotation Components (mm)
XR
YR
0.0
ZR
0.0
0.0
Table 10.1.3 Stress Results Summary
Subcase
Minimum
Principal
Property Group
Maximum
Principal
Property Group
Maximum
Von
Property Group
Stress
(MPa)
Stress
(MPa)
Mises
Stress
(MPa)
Subcase 1
-49.58 Top Lifting Device:1
66.59 Top Lifting Device:1
94.76 Top Lifting Device:1
Subcase 1
Cyclone Hopper
Assembly:1\Cyclone
-13.14
Hopper - Part - 7
(Long Ribs-2):1
Cyclone Hopper
Assembly:1\Cyclone
16.2
Hopper - Part - 7
(Long Ribs-2):1
Cyclone Hopper
Assembly:1\Cyclone
16.47
Hopper - Part - 7
(Long Ribs-2):1
Subcase 1
Cyclone Hopper
Assembly:1\Cyclone
-14.49
Hopper - Part - 6
(Long Ribs-1):1
Cyclone Hopper
Assembly:1\Cyclone
8.531
Hopper - Part - 6
(Long Ribs-1):1
Cyclone Hopper
Assembly:1\Cyclone
12.33
Hopper - Part - 6
(Long Ribs-1):1
Subcase 1
Cyclone Hopper
Assembly:1\Cyclone
-5.167
Hopper - Part - 5
(Other Rings):1
Cyclone Hopper
Assembly:1\Cyclone
12.81
Hopper - Part - 5
(Other Rings):1
Cyclone Hopper
Assembly:1\Cyclone
9.985
Hopper - Part - 5
(Other Rings):1
Subcase 1
Cyclone Hopper
Assembly:1\Cyclone
-3.332
Hopper - Part - 4
(Stiff Rings):1
Cyclone Hopper
Assembly:1\Cyclone
3.643
Hopper - Part - 4
(Stiff Rings):1
Cyclone Hopper
Assembly:1\Cyclone
4.914
Hopper - Part - 4
(Stiff Rings):1
Subcase 1
Cyclone Hopper
Assembly:1\Cyclone
-14.3
Hopper - Part - 3
(Bottom Ring):1
Cyclone Hopper
Assembly:1\Cyclone
22.44
Hopper - Part - 3
(Bottom Ring):1
Cyclone Hopper
Assembly:1\Cyclone
22.13
Hopper - Part - 3
(Bottom Ring):1
Subcase 1
Cyclone Hopper
Assembly:1\Cyclone
-7.408
Hopper - Part - 2
(Top Ring):1
Cyclone Hopper
Assembly:1\Cyclone
6.456
Hopper - Part - 2
(Top Ring):1
Cyclone Hopper
Assembly:1\Cyclone
6.842
Hopper - Part - 2
(Top Ring):1
Subcase 1
Cyclone Hopper
Assembly:1\Cyclone
-7.267
Hopper - Part - 1
(Cone):1
Cyclone Hopper
Assembly:1\Cyclone
24.8
Hopper - Part - 1
(Cone):1
Cyclone Hopper
Assembly:1\Cyclone
24.39
Hopper - Part - 1
(Cone):1
Subcase 1
0.0
Cyclone Hopper
Assembly:1
0.0
Cyclone Hopper
Assembly:1
0.0
Cyclone Hopper
Assembly:1
Subcase 1
-32.3
Bottom Lifting
Device:1
75.85
Bottom Lifting
Device:1
53.89
Bottom Lifting
Device:1
Subcase 1
-49.58
75.85
94.76
Table 10.1.4 Solution Error Measure and the Relative Stress Error Summary
Subcase
SUBCASE 1
Solution Error Measure
9.426E-09
Shell Element Relative
Stress Error
Solid Element Relative
Stress Error
n/a
Figure 5 - OUTPUT SET: SUBCASE 1 -- DEFORMED TOTAL: (MIN=0, MAX=0.733046) -- CONTOUR:
DISPLACEMENT (mm) (TOTAL)
7.486E-02
Figure 6 - OUTPUT SET: SUBCASE 1 -- DEFORMED TOTAL: (MIN=0, MAX=0.733046) -- CONTOUR: SOLID VON
MISES STRESS (MPa)
Figure 7 - OUTPUT SET: SUBCASE 1 -- DEFORMED TOTAL: (MIN=0, MAX=0.733046) -- CONTOUR: SOLID
PRINCIPAL A STRESS (MPa)
Figure 8 - OUTPUT SET: SUBCASE 1 -- DEFORMED TOTAL: (MIN=0, MAX=0.733046) -- CONTOUR: SOLID
PRINCIPAL C STRESS (MPa)
11. Conclusion:
A linear static analysis was performed using the Autodesk Nastran Version 14.0.0.202 finite element solver on the
hnzt7o9o8 structure. The finite element model contained mainly Top Lifting Device:1 elements and consisted of
4163505 degrees of freedom.1 loading condition was analyzed.The maximum displacement was 0.733 mm (load case
Subcase 1)The maximum von Mises stress was 94.76 (load case Subcase 1).
Maximum Von Mises Stress (MPa) = 94.76 @ Top Lifting Device (Tailing Lug)
As all induce stresses are within allowable stress limits one equipment in the lifting condition conclude that
the Cyclone Hopper would be safe during Lifting.
12. Glossary:
Aspect Ratio
Ratio of an element's longest side to its adjacent side.
Bi-Directional Slide
Prevents contacting regions from separating or closing but permits sliding (zero coefficient of friction
Bounding Box
A three-dimensional cube aligned to the global x,y and z axes that exactly contains a body or assembly.
Follower Force
Loads that follow the motion of the structure as it deforms.
General Contact
Models standard nonlinear surface contact with friction if specified.
Relative Stress Error
A measure of mesh convergence (values greater than 0.01 may indicate that further mesh refinement is required
in areas with large stress gradients over a few elements).
Rough Contact
Nonlinear contact that allows separation and closure but does not permit sliding (infinite friction).
Skew Angle
The angle between the lines that join opposite midsides of a quadrilateral face.
Solution Error Measure
A measure of solution quality (values less than 1.0E-07 are generally considered acceptable).
Taper Ratio
The ratio of the areas on the two sides of a diagonal of a quadrilateral face.
Warping Angle
The extent to which a quadrilateral face deviates from being planar.
Welded Contact
Prevents contacting regions from sliding, separating, or closing.
Case - 3
13. Model Definition
13.1 Group Definition
The model is divided into 1 property group(s). Details for each group are given in Table 3.1.1.
1. The bounding box for all positioned bodies in the model measures 7520.0 by 1.602E+04 by 9867.0mm along the
basic coordinate system x, y and z axes, respectively.
2. The total mass of the model is 10.73 t.
3. The model center of mass is located at (, , ) mm.
Table 13.1.1 Group Definition
Property Group
SOLID 2
Bounding Box
(mm)
Material
Mass
(t)
7520.0, 1.602E+04,
9867.0
MAT 1
Volume
(mm3)
10.73
Nodes
1.367E+09
1163083
Elements
612059
Table 13.1.2 Part Mass Properties
No Data
13.2 Contact Definition
The model contains 174 contact region(s).
- Adaptive stiffness scaling is enabled.
13.3 Material Properties
13.3.1 Isotropic Material Definition
Material
ID
1
E
2.1E+05
G
8.077E+04
NU
RHO
0.3
7.85E-09
ALPHA
1.2E-05
T-REF
0.0
13.4 Mesh
The finite element mesh is shown in the figure below. The model consists of a total of 1256983 nodes and 612059
elements.
14. Environment
14.1 Structural Loading
The finite element environments are shown in the figures below. Applied structural loading is summarized in Table
4.1.1. Applied load vector resultants are defined in the basic coordinate system. Moments are summed about location
(0.0,0.0,0.0).
Table 14.1.1 Applied Load Vector Resultant
Resultant Force(N)
Subcase
SUBCASE 1
XT
YT
0.0
Resultant Moment(N mm)
ZT
0.0
1.577E+05
XR
YR
1.426E+09 -2.914E+04
ZR
0.0
14.2 Structural Support
Reaction loads are summarized in Table 4.2.1. Reaction load vector resultants are defined in the basic coordinate
system. Moments are summed about location (0.0,0.0,0.0).
Table 14.2.1 Reaction Load Vector Resultant
Resultant Force (N)
Subcase
SUBCASE 1
XT
-1.646E-02
Applied Loads
YT
Resultant Moment(N mm)
ZT
XR
2.218E-03 -1.577E+05 -1.424E+09
YR
-8.56E+05
ZR
6.16E+05
Load 1 (Gravity force)
Load 2 (Acting force)
Constrain 1 (trunnion -1)
Constrain 2 (trunnion -2)
Constrain 3 (Tailing Lug)
15. Solution
The solution to the Environment defined in Section 4 applied to the Model defined in Section 3 is given below. The
program selected the PCGLSS linear solver. Total solution time was 1276.3 seconds.The largest solution error
measure was 6.121E-09 for SUBCASE 1.The largest solid element relative stress error was 6.446E-02 for SUBCASE
1.The results are summarized in the table(s) and figure(s) below.
Table 15.1.1 Displacement Summary
Subcase
Minimum
Displacement (mm)
Property Group
Maxmium
Displacement (mm)
Property Group
Subcase 1
0.0
Top Lifting Device:1
0.432
Top Lifting Device:1
Subcase 1
1.689E-02
Cyclone Hopper
Assembly:1\Cyclone
0.2141
Cyclone Hopper
Assembly:1\Cyclone
Hopper - Part - 7
(Long Ribs-2):1
Hopper - Part - 7
(Long Ribs-2):1
6.415E-02
Cyclone Hopper
Assembly:1\Cyclone
Hopper - Part - 6
(Long Ribs-1):1
0.5005
Cyclone Hopper
Assembly:1\Cyclone
Hopper - Part - 6
(Long Ribs-1):1
0.1188
Cyclone Hopper
Assembly:1\Cyclone
Hopper - Part - 5
(Other Rings):1
0.2322
Cyclone Hopper
Assembly:1\Cyclone
Hopper - Part - 5
(Other Rings):1
0.2802
Cyclone Hopper
Assembly:1\Cyclone
Hopper - Part - 4
(Stiff Rings):1
0.4986
Cyclone Hopper
Assembly:1\Cyclone
Hopper - Part - 4
(Stiff Rings):1
1.257E-02
Cyclone Hopper
Assembly:1\Cyclone
Hopper - Part - 3
(Bottom Ring):1
0.1274
Cyclone Hopper
Assembly:1\Cyclone
Hopper - Part - 3
(Bottom Ring):1
6.04E-02
Cyclone Hopper
Assembly:1\Cyclone
Hopper - Part - 2
(Top Ring):1
0.4274
Cyclone Hopper
Assembly:1\Cyclone
Hopper - Part - 2
(Top Ring):1
Subcase 1
1.255E-02
Cyclone Hopper
Assembly:1\Cyclone
Hopper - Part - 1
(Cone):1
0.5011
Cyclone Hopper
Assembly:1\Cyclone
Hopper - Part - 1
(Cone):1
Subcase 1
0.0
Cyclone Hopper
Assembly:1
0.0
Cyclone Hopper
Assembly:1
Subcase 1
0.0
Bottom Lifting
Device:1
0.191
Bottom Lifting
Device:1
Subcase 1
0.0
Subcase 1
Subcase 1
Subcase 1
Subcase 1
Subcase 1
0.5011
Table 15.1.2 Peak Displacement Component Summary
Displacement Components (mm)
Subcase
SUBCASE 1
XT
0.127
YT
ZT
0.2348
0.4921
Table 15.1.3 Stress Results Summary
Rotation Components (mm)
XR
YR
0.0
ZR
0.0
0.0
Subcase
Minimum
Principal
Stress
(MPa)
Property Group
Maximum
Principal
Stress
(MPa)
Property Group
Maximum
Von
Mises
Stress
(MPa)
Property Group
Subcase 1
-30.05 Top Lifting Device:1
70.03 Top Lifting Device:1
71.41 Top Lifting Device:1
Subcase 1
Cyclone Hopper
Assembly:1\Cyclone
-2.744
Hopper - Part - 7
(Long Ribs-2):1
Cyclone Hopper
Assembly:1\Cyclone
13.08
Hopper - Part - 7
(Long Ribs-2):1
Cyclone Hopper
Assembly:1\Cyclone
10.79
Hopper - Part - 7
(Long Ribs-2):1
Subcase 1
Cyclone Hopper
Assembly:1\Cyclone
-3.548
Hopper - Part - 6
(Long Ribs-1):1
Cyclone Hopper
Assembly:1\Cyclone
9.647
Hopper - Part - 6
(Long Ribs-1):1
Cyclone Hopper
Assembly:1\Cyclone
6.878
Hopper - Part - 6
(Long Ribs-1):1
Subcase 1
Cyclone Hopper
Assembly:1\Cyclone
-5.005
Hopper - Part - 5
(Other Rings):1
Cyclone Hopper
Assembly:1\Cyclone
7.534
Hopper - Part - 5
(Other Rings):1
Cyclone Hopper
Assembly:1\Cyclone
7.98
Hopper - Part - 5
(Other Rings):1
Subcase 1
Cyclone Hopper
Assembly:1\Cyclone
-2.856
Hopper - Part - 4
(Stiff Rings):1
Cyclone Hopper
Assembly:1\Cyclone
4.333
Hopper - Part - 4
(Stiff Rings):1
Cyclone Hopper
Assembly:1\Cyclone
4.923
Hopper - Part - 4
(Stiff Rings):1
Subcase 1
Cyclone Hopper
Assembly:1\Cyclone
-6.446
Hopper - Part - 3
(Bottom Ring):1
Cyclone Hopper
Assembly:1\Cyclone
13.04
Hopper - Part - 3
(Bottom Ring):1
Cyclone Hopper
Assembly:1\Cyclone
11.14
Hopper - Part - 3
(Bottom Ring):1
Subcase 1
Cyclone Hopper
Assembly:1\Cyclone
-8.433
Hopper - Part - 2
(Top Ring):1
Cyclone Hopper
Assembly:1\Cyclone
13.77
Hopper - Part - 2
(Top Ring):1
Cyclone Hopper
Assembly:1\Cyclone
12.29
Hopper - Part - 2
(Top Ring):1
Subcase 1
Cyclone Hopper
Assembly:1\Cyclone
-13.47
Hopper - Part - 1
(Cone):1
Cyclone Hopper
Assembly:1\Cyclone
13.05
Hopper - Part - 1
(Cone):1
Cyclone Hopper
Assembly:1\Cyclone
16.23
Hopper - Part - 1
(Cone):1
Subcase 1
0.0
Cyclone Hopper
Assembly:1
0.0
Cyclone Hopper
Assembly:1
0.0
Cyclone Hopper
Assembly:1
Subcase 1
-22.0
Bottom Lifting
Device:1
41.36
Bottom Lifting
Device:1
38.66
Bottom Lifting
Device:1
Subcase 1
-30.05
70.03
71.41
Table 15.1.4 Solution Error Measure and the Relative Stress Error Summary
Subcase
SUBCASE 1
Solution Error Measure
6.121E-09
Shell Element Relative
Stress Error
Solid Element Relative
Stress Error
n/a
Figure 5 - OUTPUT SET: SUBCASE 1 -- DEFORMED TOTAL: (MIN=0, MAX=0.501081) -- CONTOUR:
DISPLACEMENT (mm) (TOTAL)
6.446E-02
Figure 6 - OUTPUT SET: SUBCASE 1 -- DEFORMED TOTAL: (MIN=0, MAX=0.501081) -- CONTOUR: SOLID VON
MISES STRESS (MPa)
Figure 7 - OUTPUT SET: SUBCASE 1 -- DEFORMED TOTAL: (MIN=0, MAX=0.501081) -- CONTOUR: SOLID
PRINCIPAL A STRESS (MPa)
Figure 8 - OUTPUT SET: SUBCASE 1 -- DEFORMED TOTAL: (MIN=0, MAX=0.501081) -- CONTOUR: SOLID
PRINCIPAL C STRESS (MPa)
16. Conclusion:
A linear static analysis was performed using the Autodesk Nastran Version 14.0.0.202 finite element solver on the
hnzt7o9o8 structure. The finite element model contained mainly Top Lifting Device:1 elements and consisted of
4160187 degrees of freedom.1 loading condition was analyzed.The maximum displacement was 0.432 mm (load case
Subcase 1)The maximum von Mises stress was 71.41 (load case Subcase 1).
Maximum Von Mises Stress (MPa) = 71.41 @ Top Lifting Device (Tailing Lug)
As all induce stresses are within allowable stress limits one equipment in the lifting condition conclude that
the Cyclone Hopper would be safe during Lifting.
17. Glossary:
Aspect Ratio
Ratio of an element's longest side to its adjacent side.
Bi-Directional Slide
Prevents contacting regions from separating or closing but permits sliding (zero coefficient of friction
Bounding Box
A three-dimensional cube aligned to the global x,y and z axes that exactly contains a body or assembly.
Follower Force
Loads that follow the motion of the structure as it deforms.
General Contact
Models standard nonlinear surface contact with friction if specified.
Relative Stress Error
A measure of mesh convergence (values greater than 0.01 may indicate that further mesh refinement is required
in areas with large stress gradients over a few elements).
Rough Contact
Nonlinear contact that allows separation and closure but does not permit sliding (infinite friction).
Skew Angle
The angle between the lines that join opposite midsides of a quadrilateral face.
Solution Error Measure
A measure of solution quality (values less than 1.0E-07 are generally considered acceptable).
Taper Ratio
The ratio of the areas on the two sides of a diagonal of a quadrilateral face.
Warping Angle
The extent to which a quadrilateral face deviates from being planar.
Welded Contact
Prevents contacting regions from sliding, separating, or closing.
Case - 4
18. Model Definition
18.1 Group Definition
The model is divided into 1 property group(s). Details for each group are given in Table 3.1.1.
1. The bounding box for all positioned bodies in the model measures 7520.0 by 1.55E+04 by 6902.0mm along the
basic coordinate system x, y and z axes, respectively.
2. The total mass of the model is 10.73 t.
3. The model center of mass is located at (, , ) mm.
Table 18.1.1 Group Definition
Property Group
SOLID 2
Bounding Box
(mm)
Material
Mass
(t)
7520.0, 1.55E+04,
6902.0
MAT 1
Volume
(mm3)
10.73
Nodes
1.367E+09
1162832
Elements
612025
Table 18.1.2 Part Mass Properties
No Data
18.2 Contact Definition
The model contains 174 contact region(s).
- Adaptive stiffness scaling is enabled.
18.3 Material Properties
18.3.1 Isotropic Material Definition
Material
ID
1
E
2.1E+05
G
8.077E+04
NU
RHO
0.3
7.85E-09
ALPHA
1.2E-05
T-REF
0.0
18.4 Mesh
The finite element mesh is shown in the figure below. The model consists of a total of 1256898 nodes and 612025
elements.
19. Environment
19.1 Structural Loading
The finite element environments are shown in the figures below. Applied structural loading is summarized in Table
4.1.1. Applied load vector resultants are defined in the basic coordinate system. Moments are summed about location
(0.0,0.0,0.0).
Table 19.1.1 Applied Load Vector Resultant
Resultant Force(N)
Subcase
SUBCASE 1
XT
YT
0.0
Resultant Moment(N mm)
ZT
XR
0.0 1.577E+05 1.518E+09
YR
7.22E+04
ZR
0.0
19.2 Structural Support
Reaction loads are summarized in Table 4.2.1. Reaction load vector resultants are defined in the basic coordinate
system. Moments are summed about location (0.0,0.0,0.0).
Table 19.2.1 Reaction Load Vector Resultant
Resultant Force (N)
Subcase
SUBCASE 1
XT
-4.762E-03
Applied Loads
YT
Resultant Moment(N mm)
ZT
XR
YR
ZR
1.969E-02 -1.577E+05 -1.514E+09 -7.538E+05 -8.192E+05
Load 1 (Gravity force)
Load 2 (Acting force)
Constrain 1 (trunnion -1)
Constrain 2 (trunnion -2)
Constrain 3 (Tailing Lug)
20. Solution
The solution to the Environment defined in Section 4 applied to the Model defined in Section 3 is given below. The
program selected the PCGLSS linear solver. Total solution time was 1360.5 seconds.The largest solution error
measure was 1.512E-08 for SUBCASE 1.The largest solid element relative stress error was 6.674E-02 for SUBCASE
1.The results are summarized in the table(s) and figure(s) below.
Table 20.1.1 Displacement Summary
Subcase
Subcase 1
Subcase 1
Minimum
Displacement (mm)
Property Group
0.0
Top Lifting Device:1
1.441E-02
Cyclone Hopper
Assembly:1\Cyclone
Hopper - Part - 7
(Long Ribs-2):1
Maxmium
Displacement (mm)
Property Group
0.4519
Top Lifting Device:1
0.1808
Cyclone Hopper
Assembly:1\Cyclone
Hopper - Part - 7
(Long Ribs-2):1
4.321E-02
Cyclone Hopper
Assembly:1\Cyclone
Hopper - Part - 6
(Long Ribs-1):1
0.5413
Cyclone Hopper
Assembly:1\Cyclone
Hopper - Part - 6
(Long Ribs-1):1
0.1372
Cyclone Hopper
Assembly:1\Cyclone
Hopper - Part - 5
(Other Rings):1
0.1983
Cyclone Hopper
Assembly:1\Cyclone
Hopper - Part - 5
(Other Rings):1
0.2479
Cyclone Hopper
Assembly:1\Cyclone
Hopper - Part - 4
(Stiff Rings):1
0.534
Cyclone Hopper
Assembly:1\Cyclone
Hopper - Part - 4
(Stiff Rings):1
1.287E-02
Cyclone Hopper
Assembly:1\Cyclone
Hopper - Part - 3
(Bottom Ring):1
9.711E-02
Cyclone Hopper
Assembly:1\Cyclone
Hopper - Part - 3
(Bottom Ring):1
4.174E-02
Cyclone Hopper
Assembly:1\Cyclone
Hopper - Part - 2
(Top Ring):1
0.4423
Cyclone Hopper
Assembly:1\Cyclone
Hopper - Part - 2
(Top Ring):1
1.278E-02
Cyclone Hopper
Assembly:1\Cyclone
Hopper - Part - 1
(Cone):1
0.542
Cyclone Hopper
Assembly:1\Cyclone
Hopper - Part - 1
(Cone):1
Subcase 1
Subcase 1
0.0
Cyclone Hopper
Assembly:1
0.0
Cyclone Hopper
Assembly:1
Subcase 1
0.0
Bottom Lifting
Device:1
0.1469
Bottom Lifting
Device:1
Subcase 1
0.0
Subcase 1
Subcase 1
Subcase 1
Subcase 1
Subcase 1
0.542
Table 20.1.2 Peak Displacement Component Summary
Displacement Components (mm)
Subcase
SUBCASE
1
XT
YT
ZT
0.1492
0.1467
0.5418
Table 20.1.3 Stress Results Summary
Rotation Components (mm)
XR
YR
0.0
ZR
0.0
0.0
Subcase
Minimum
Principal
Stress
(MPa)
Property Group
Maximum
Principal
Stress
(MPa)
Property Group
Maximum
Von
Mises
Stress
(MPa)
Property Group
Subcase 1
-38.61 Top Lifting Device:1
69.28 Top Lifting Device:1
77.01 Top Lifting Device:1
Subcase 1
Cyclone Hopper
Assembly:1\Cyclone
-8.243
Hopper - Part - 7
(Long Ribs-2):1
Cyclone Hopper
Assembly:1\Cyclone
6.053
Hopper - Part - 7
(Long Ribs-2):1
Cyclone Hopper
Assembly:1\Cyclone
7.432
Hopper - Part - 7
(Long Ribs-2):1
Subcase 1
Cyclone Hopper
Assembly:1\Cyclone
-4.115
Hopper - Part - 6
(Long Ribs-1):1
Cyclone Hopper
Assembly:1\Cyclone
16.87
Hopper - Part - 6
(Long Ribs-1):1
Cyclone Hopper
Assembly:1\Cyclone
11.85
Hopper - Part - 6
(Long Ribs-1):1
Subcase 1
Cyclone Hopper
Assembly:1\Cyclone
-3.881
Hopper - Part - 5
(Other Rings):1
Cyclone Hopper
Assembly:1\Cyclone
6.574
Hopper - Part - 5
(Other Rings):1
Cyclone Hopper
Assembly:1\Cyclone
5.573
Hopper - Part - 5
(Other Rings):1
Subcase 1
Cyclone Hopper
Assembly:1\Cyclone
-3.348
Hopper - Part - 4
(Stiff Rings):1
Cyclone Hopper
Assembly:1\Cyclone
3.99
Hopper - Part - 4
(Stiff Rings):1
Cyclone Hopper
Assembly:1\Cyclone
4.703
Hopper - Part - 4
(Stiff Rings):1
Subcase 1
Cyclone Hopper
Assembly:1\Cyclone
-7.577
Hopper - Part - 3
(Bottom Ring):1
Cyclone Hopper
Assembly:1\Cyclone
8.69
Hopper - Part - 3
(Bottom Ring):1
Cyclone Hopper
Assembly:1\Cyclone
9.017
Hopper - Part - 3
(Bottom Ring):1
Subcase 1
Cyclone Hopper
Assembly:1\Cyclone
-9.79
Hopper - Part - 2
(Top Ring):1
Cyclone Hopper
Assembly:1\Cyclone
13.94
Hopper - Part - 2
(Top Ring):1
Cyclone Hopper
Assembly:1\Cyclone
13.73
Hopper - Part - 2
(Top Ring):1
Subcase 1
Cyclone Hopper
Assembly:1\Cyclone
-17.55
Hopper - Part - 1
(Cone):1
Cyclone Hopper
Assembly:1\Cyclone
18.03
Hopper - Part - 1
(Cone):1
Cyclone Hopper
Assembly:1\Cyclone
17.14
Hopper - Part - 1
(Cone):1
Subcase 1
0.0
Cyclone Hopper
Assembly:1
0.0
Cyclone Hopper
Assembly:1
0.0
Cyclone Hopper
Assembly:1
Subcase 1
-19.71
Bottom Lifting
Device:1
18.52
Bottom Lifting
Device:1
33.3
Bottom Lifting
Device:1
Subcase 1
-38.61
69.28
77.01
Table 20.1.4 Solution Error Measure and the Relative Stress Error Summary
Subcase
SUBCASE 1
Solution Error Measure
1.512E-08
Shell Element Relative
Stress Error
Solid Element Relative
Stress Error
n/a
Figure 5 - OUTPUT SET: SUBCASE 1 -- DEFORMED TOTAL: (MIN=0, MAX=0.541958) -- CONTOUR:
DISPLACEMENT (mm) (TOTAL)
6.674E-02
Figure 6 - OUTPUT SET: SUBCASE 1 -- DEFORMED TOTAL: (MIN=0, MAX=0.541958) -- CONTOUR: SOLID VON
MISES STRESS (MPa)
Figure 7 - OUTPUT SET: SUBCASE 1 -- DEFORMED TOTAL: (MIN=0, MAX=0.541958) -- CONTOUR: SOLID
PRINCIPAL A STRESS (MPa)
Figure 8 - OUTPUT SET: SUBCASE 1 -- DEFORMED TOTAL: (MIN=0, MAX=0.541958) -- CONTOUR: SOLID
PRINCIPAL C STRESS (MPa)
21. Conclusion:
A linear static analysis was performed using the Autodesk Nastran Version 14.0.0.202 finite element solver on the
hnzt7o9o8 structure. The finite element model contained mainly Top Lifting Device:1 elements and consisted of
4160541 degrees of freedom.1 loading condition was analyzed.The maximum displacement was 0.4519 mm (load
case Subcase 1)The maximum von Mises stress was 77.01 (load case Subcase 1).
Maximum Von Mises Stress (MPa) = 77.01 @ Top Lifting Device (Tailing Lug)
As all induce stresses are within allowable stress limits one equipment in the lifting condition conclude that
the Cyclone Hopper would be safe during Lifting.
22. Glossary:
Aspect Ratio
Ratio of an element's longest side to its adjacent side.
Bi-Directional Slide
Prevents contacting regions from separating or closing but permits sliding (zero coefficient of friction
Bounding Box
A three-dimensional cube aligned to the global x,y and z axes that exactly contains a body or assembly.
Follower Force
Loads that follow the motion of the structure as it deforms.
General Contact
Models standard nonlinear surface contact with friction if specified.
Relative Stress Error
A measure of mesh convergence (values greater than 0.01 may indicate that further mesh refinement is required
in areas with large stress gradients over a few elements).
Rough Contact
Nonlinear contact that allows separation and closure but does not permit sliding (infinite friction).
Skew Angle
The angle between the lines that join opposite midsides of a quadrilateral face.
Solution Error Measure
A measure of solution quality (values less than 1.0E-07 are generally considered acceptable).
Taper Ratio
The ratio of the areas on the two sides of a diagonal of a quadrilateral face.
Warping Angle
The extent to which a quadrilateral face deviates from being planar.
Welded Contact
Prevents contacting regions from sliding, separating, or closing.
Case - 5
23. Model Definition
23.1 Group Definition
The model is divided into 1 property group(s). Details for each group are given in Table 3.1.1.
1. The bounding box for all positioned bodies in the model measures 7520.0 by 1.598E+04 by 6863.0mm along the
basic coordinate system x, y and z axes, respectively.
2. The total mass of the model is 10.73 t.
3. The model center of mass is located at (, , ) mm.
Table 23.1.1 Group Definition
Property Group
SOLID 2
Bounding Box
(mm)
Material
Mass
(t)
7520.0, 1.598E+04,
6863.0
MAT 1
Volume
(mm3)
10.73
Nodes
1.367E+09
1165734
Elements
613588
Table 23.1.2 Part Mass Properties
No Data
23.2 Contact Definition
The model contains 174 contact region(s).
- Adaptive stiffness scaling is enabled.
23.3 Material Properties
23.3.1 Isotropic Material Definition
Material
ID
1
E
2.1E+05
G
8.077E+04
NU
RHO
0.3
7.85E-09
ALPHA
1.2E-05
T-REF
0.0
23.4 Mesh
The finite element mesh is shown in the figure below. The model consists of a total of 1259997 nodes and 613588
elements.
24. Environment
24.1 Structural Loading
The finite element environments are shown in the figures below. Applied structural loading is summarized in Table
4.1.1. Applied load vector resultants are defined in the basic coordinate system. Moments are summed about location
(0.0,0.0,0.0).
Table 24.1.1 Applied Load Vector Resultant
Resultant Force(N)
Subcase
SUBCASE 1
XT
YT
0.0
Resultant Moment(N mm)
ZT
XR
YR
0.0 1.577E+05 1.501E+09 -1.17E+04
ZR
0.0
24.2 Structural Support
Reaction loads are summarized in Table 4.2.1. Reaction load vector resultants are defined in the basic coordinate
system. Moments are summed about location (0.0,0.0,0.0).
Table 24.2.1 Reaction Load Vector Resultant
Resultant Force (N)
Subcase
SUBCASE 1
XT
-9.064E-03
Applied Loads
YT
Resultant Moment(N mm)
ZT
XR
YR
ZR
-6.933E-03 -1.577E+05 -1.498E+09 -7.516E+05 -7.907E+05
Load 1 (Gravity force)
Load 2 (Acting force)
Constrain 1 (trunnion -1)
Constrain 2 (trunnion -2)
Constrain 3 (Tailing Lug)
25. Solution
The solution to the Environment defined in Section 4 applied to the Model defined in Section 3 is given below. The
program selected the PCGLSS linear solver. Total solution time was 1424.4 seconds.The largest solution error
measure was 3.224E-08 for SUBCASE 1.The largest solid element relative stress error was 7.082E-02 for SUBCASE
1.The results are summarized in the table(s) and figure(s) below.
Table 25.1.1 Displacement Summary
Subcase
Subcase 1
Subcase 1
Minimum
Displacement (mm)
Property Group
0.0
Top Lifting Device:1
1.358E-02
Cyclone Hopper
Assembly:1\Cyclone
Hopper - Part - 7
(Long Ribs-2):1
Maxmium
Displacement (mm)
Property Group
0.4335
Top Lifting Device:1
0.1736
Cyclone Hopper
Assembly:1\Cyclone
Hopper - Part - 7
(Long Ribs-2):1
4.422E-02
Cyclone Hopper
Assembly:1\Cyclone
Hopper - Part - 6
(Long Ribs-1):1
0.5487
Cyclone Hopper
Assembly:1\Cyclone
Hopper - Part - 6
(Long Ribs-1):1
0.1346
Cyclone Hopper
Assembly:1\Cyclone
Hopper - Part - 5
(Other Rings):1
0.1922
Cyclone Hopper
Assembly:1\Cyclone
Hopper - Part - 5
(Other Rings):1
0.2304
Cyclone Hopper
Assembly:1\Cyclone
Hopper - Part - 4
(Stiff Rings):1
0.5422
Cyclone Hopper
Assembly:1\Cyclone
Hopper - Part - 4
(Stiff Rings):1
1.237E-02
Cyclone Hopper
Assembly:1\Cyclone
Hopper - Part - 3
(Bottom Ring):1
8.472E-02
Cyclone Hopper
Assembly:1\Cyclone
Hopper - Part - 3
(Bottom Ring):1
4.306E-02
Cyclone Hopper
Assembly:1\Cyclone
Hopper - Part - 2
(Top Ring):1
0.4191
Cyclone Hopper
Assembly:1\Cyclone
Hopper - Part - 2
(Top Ring):1
1.226E-02
Cyclone Hopper
Assembly:1\Cyclone
Hopper - Part - 1
(Cone):1
0.5489
Cyclone Hopper
Assembly:1\Cyclone
Hopper - Part - 1
(Cone):1
Subcase 1
Subcase 1
0.0
Cyclone Hopper
Assembly:1
0.0
Cyclone Hopper
Assembly:1
Subcase 1
0.0
Bottom Lifting
Device:1
0.1209
Bottom Lifting
Device:1
Subcase 1
0.0
Subcase 1
Subcase 1
Subcase 1
Subcase 1
Subcase 1
0.5489
Table 25.1.2 Peak Displacement Component Summary
Displacement Components (mm)
Subcase
SUBCASE
1
XT
YT
ZT
0.1385
0.1817
0.5459
Table 25.1.3 Stress Results Summary
Rotation Components (mm)
XR
YR
0.0
ZR
0.0
0.0
Subcase
Minimum
Principal
Stress
(MPa)
Property Group
Maximum
Principal
Stress
(MPa)
Property Group
Maximum
Von
Mises
Stress
(MPa)
Property Group
Subcase 1
-45.88 Top Lifting Device:1
75.77 Top Lifting Device:1
83.34 Top Lifting Device:1
Subcase 1
Cyclone Hopper
Assembly:1\Cyclone
-4.7
Hopper - Part - 7
(Long Ribs-2):1
Cyclone Hopper
Assembly:1\Cyclone
8.383
Hopper - Part - 7
(Long Ribs-2):1
Cyclone Hopper
Assembly:1\Cyclone
7.283
Hopper - Part - 7
(Long Ribs-2):1
Subcase 1
Cyclone Hopper
Assembly:1\Cyclone
-4.287
Hopper - Part - 6
(Long Ribs-1):1
Cyclone Hopper
Assembly:1\Cyclone
23.83
Hopper - Part - 6
(Long Ribs-1):1
Cyclone Hopper
Assembly:1\Cyclone
16.11
Hopper - Part - 6
(Long Ribs-1):1
Subcase 1
Cyclone Hopper
Assembly:1\Cyclone
-4.932
Hopper - Part - 5
(Other Rings):1
Cyclone Hopper
Assembly:1\Cyclone
5.039
Hopper - Part - 5
(Other Rings):1
Cyclone Hopper
Assembly:1\Cyclone
4.751
Hopper - Part - 5
(Other Rings):1
Subcase 1
Cyclone Hopper
Assembly:1\Cyclone
-3.495
Hopper - Part - 4
(Stiff Rings):1
Cyclone Hopper
Assembly:1\Cyclone
3.819
Hopper - Part - 4
(Stiff Rings):1
Cyclone Hopper
Assembly:1\Cyclone
4.441
Hopper - Part - 4
(Stiff Rings):1
Subcase 1
Cyclone Hopper
Assembly:1\Cyclone
-5.194
Hopper - Part - 3
(Bottom Ring):1
Cyclone Hopper
Assembly:1\Cyclone
6.472
Hopper - Part - 3
(Bottom Ring):1
Cyclone Hopper
Assembly:1\Cyclone
7.02
Hopper - Part - 3
(Bottom Ring):1
Subcase 1
Cyclone Hopper
Assembly:1\Cyclone
-10.49
Hopper - Part - 2
(Top Ring):1
Cyclone Hopper
Assembly:1\Cyclone
14.82
Hopper - Part - 2
(Top Ring):1
Cyclone Hopper
Assembly:1\Cyclone
14.15
Hopper - Part - 2
(Top Ring):1
Subcase 1
Cyclone Hopper
Assembly:1\Cyclone
-14.29
Hopper - Part - 1
(Cone):1
Cyclone Hopper
Assembly:1\Cyclone
15.62
Hopper - Part - 1
(Cone):1
Cyclone Hopper
Assembly:1\Cyclone
18.96
Hopper - Part - 1
(Cone):1
Subcase 1
0.0
Cyclone Hopper
Assembly:1
0.0
Cyclone Hopper
Assembly:1
0.0
Cyclone Hopper
Assembly:1
Subcase 1
-16.8
Bottom Lifting
Device:1
17.63
Bottom Lifting
Device:1
30.06
Bottom Lifting
Device:1
Subcase 1
-45.88
75.77
83.34
Table 25.1.4 Solution Error Measure and the Relative Stress Error Summary
Subcase
SUBCASE 1
Solution Error Measure
3.224E-08
Shell Element Relative
Stress Error
Solid Element Relative
Stress Error
n/a
Figure 5 - OUTPUT SET: SUBCASE 1 -- DEFORMED TOTAL: (MIN=0, MAX=0.548935) -- CONTOUR:
DISPLACEMENT (mm) (TOTAL)
7.082E-02
Figure 6 - OUTPUT SET: SUBCASE 1 -- DEFORMED TOTAL: (MIN=0, MAX=0.548935) -- CONTOUR: SOLID VON
MISES STRESS (MPa)
Figure 7 - OUTPUT SET: SUBCASE 1 -- DEFORMED TOTAL: (MIN=0, MAX=0.548935) -- CONTOUR: SOLID
PRINCIPAL A STRESS (MPa)
Figure 8 - OUTPUT SET: SUBCASE 1 -- DEFORMED TOTAL: (MIN=0, MAX=0.548935) -- CONTOUR: SOLID
PRINCIPAL C STRESS (MPa)
26. Conclusion:
A linear static analysis was performed using the Autodesk Nastran Version 14.0.0.202 finite element solver on the
hnzt7o9o8 structure. The finite element model contained mainly Top Lifting Device:1 elements and consisted of
4170651 degrees of freedom.1 loading condition was analyzed.The maximum displacement was 0.4335 mm (load
case Subcase 1)The maximum von Mises stress was 83.34 (load case Subcase 1).
Maximum Von Mises Stress (MPa) = 83.34 @ Top Lifting Device (Tailing Lug)
As all induce stresses are within allowable stress limits one equipment in the lifting condition conclude that
the Cyclone Hopper would be safe during Lifting.
27. Glossary:
Aspect Ratio
Ratio of an element's longest side to its adjacent side.
Bi-Directional Slide
Prevents contacting regions from separating or closing but permits sliding (zero coefficient of friction
Bounding Box
A three-dimensional cube aligned to the global x,y and z axes that exactly contains a body or assembly.
Follower Force
Loads that follow the motion of the structure as it deforms.
General Contact
Models standard nonlinear surface contact with friction if specified.
Relative Stress Error
A measure of mesh convergence (values greater than 0.01 may indicate that further mesh refinement is required
in areas with large stress gradients over a few elements).
Rough Contact
Nonlinear contact that allows separation and closure but does not permit sliding (infinite friction).
Skew Angle
The angle between the lines that join opposite midsides of a quadrilateral face.
Solution Error Measure
A measure of solution quality (values less than 1.0E-07 are generally considered acceptable).
Taper Ratio
The ratio of the areas on the two sides of a diagonal of a quadrilateral face.
Warping Angle
The extent to which a quadrilateral face deviates from being planar.
Welded Contact
Prevents contacting regions from sliding, separating, or closing.
Case - 6
28. Model Definition
28.1 Group Definition
The model is divided into 1 property group(s). Details for each group are given in Table 3.1.1.
1. The bounding box for all positioned bodies in the model measures 7520.0 by 1.598E+04 by 6863.0mm along the
basic coordinate system x, y and z axes, respectively.
2. The total mass of the model is 10.73 t.
3. The model center of mass is located at (, , ) mm.
Table 28.1.1 Group Definition
Property Group
SOLID 2
Bounding Box
(mm)
Material
Mass
(t)
7520.0, 1.598E+04,
6863.0
MAT 1
Volume
(mm3)
10.73
Nodes
1.367E+09
1166060
Elements
613773
Table 28.1.2 Part Mass Properties
No Data
28.2 Contact Definition
The model contains 174 contact region(s).
- Adaptive stiffness scaling is enabled.
28.3 Material Properties
28.3.1 Isotropic Material Definition
Material
ID
1
E
2.1E+05
G
8.077E+04
NU
RHO
0.3
7.85E-09
ALPHA
1.2E-05
T-REF
0.0
28.4 Mesh
The finite element mesh is shown in the figure below. The model consists of a total of 1260281 nodes and 613773
elements.
29. Environment
29.1 Structural Loading
The finite element environments are shown in the figures below. Applied structural loading is summarized in Table
4.1.1. Applied load vector resultants are defined in the basic coordinate system. Moments are summed about location
(0.0,0.0,0.0).
Table 29.1.1 Applied Load Vector Resultant
Resultant Force(N)
Subcase
SUBCASE 1
XT
YT
0.0
Resultant Moment(N mm)
ZT
0.0
1.577E+05
XR
YR
1.501E+09 -1.237E+04
ZR
0.0
29.2 Structural Support
Reaction loads are summarized in Table 4.2.1. Reaction load vector resultants are defined in the basic coordinate
system. Moments are summed about location (0.0,0.0,0.0).
Table 29.2.1 Reaction Load Vector Resultant
Resultant Force (N)
Subcase
SUBCASE 1
XT
-1.121E-02
Applied Loads
YT
Resultant Moment(N mm)
ZT
XR
YR
ZR
-1.779E-02 -1.577E+05 -1.499E+09 -7.038E+05 -2.819E+05
Load 1 (Gravity force)
Load 2 (Acting force)
Constrain 1 (trunnion -1)
Constrain 2 (trunnion -2)
Constrain 3 (Tailing Lug)
30. Solution
The solution to the Environment defined in Section 4 applied to the Model defined in Section 3 is given below. The
program selected the PCGLSS linear solver. Total solution time was 1240.0 seconds.The largest solution error
measure was 8.4E-08 for SUBCASE 1.The largest solid element relative stress error was 6.508E-02 for SUBCASE
1.The results are summarized in the table(s) and figure(s) below.
Table 30.1.1 Displacement Summary
Subcase
Subcase 1
Minimum
Displacement (mm)
Property Group
0.0
Top Lifting Device:1
0.1285
Cyclone Hopper
Assembly:1\Cyclone
Hopper - Part - 7
(Long Ribs-2):1
1.179E-02
Cyclone Hopper
Assembly:1\Cyclone
Hopper - Part - 6
(Long Ribs-1):1
0.2441
Cyclone Hopper
Assembly:1\Cyclone
Hopper - Part - 5
(Other Rings):1
0.1938
Cyclone Hopper
Assembly:1\Cyclone
Hopper - Part - 4
(Stiff Rings):1
0.1249
Cyclone Hopper
Assembly:1\Cyclone
Hopper - Part - 3
(Bottom Ring):1
1.036E-02
Cyclone Hopper
Assembly:1\Cyclone
Hopper - Part - 2
(Top Ring):1
Subcase 1
Maxmium
Displacement (mm)
Property Group
0.2474
Top Lifting Device:1
0.2666
Cyclone Hopper
Assembly:1\Cyclone
Hopper - Part - 7
(Long Ribs-2):1
0.4957
Cyclone Hopper
Assembly:1\Cyclone
Hopper - Part - 6
(Long Ribs-1):1
0.2804
Cyclone Hopper
Assembly:1\Cyclone
Hopper - Part - 5
(Other Rings):1
0.4922
Cyclone Hopper
Assembly:1\Cyclone
Hopper - Part - 4
(Stiff Rings):1
0.1832
Cyclone Hopper
Assembly:1\Cyclone
Hopper - Part - 3
(Bottom Ring):1
0.2281
Cyclone Hopper
Assembly:1\Cyclone
Hopper - Part - 2
(Top Ring):1
9.861E-03
Cyclone Hopper
Assembly:1\Cyclone
Hopper - Part - 1
(Cone):1
0.4957
Cyclone Hopper
Assembly:1\Cyclone
Hopper - Part - 1
(Cone):1
Subcase 1
0.0
Cyclone Hopper
Assembly:1
0.0
Cyclone Hopper
Assembly:1
Subcase 1
0.0
Bottom Lifting
Device:1
0.1931
Bottom Lifting
Device:1
Subcase 1
Subcase 1
Subcase 1
Subcase 1
Subcase 1
Subcase 1
Subcase 1
0.0
0.4957
Table 30.1.2 Peak Displacement Component Summary
Displacement Components (mm)
Subcase
SUBCASE
1
XT
YT
ZT
0.1094
0.2209
0.4951
Rotation Components (mm)
XR
YR
0.0
ZR
0.0
0.0
Table 30.1.3 Stress Results Summary
Subcase
Minimum
Principal
Stress
(MPa)
Property Group
Maximum
Principal
Stress
(MPa)
Property Group
Maximum
Von
Mises
Stress
(MPa)
Property Group
Subcase 1
-19.75 Top Lifting Device:1
22.75 Top Lifting Device:1
27.62 Top Lifting Device:1
Subcase 1
Cyclone Hopper
Assembly:1\Cyclone
-38.73
Hopper - Part - 7
(Long Ribs-2):1
Cyclone Hopper
Assembly:1\Cyclone
9.802
Hopper - Part - 7
(Long Ribs-2):1
Cyclone Hopper
Assembly:1\Cyclone
32.09
Hopper - Part - 7
(Long Ribs-2):1
Subcase 1
Cyclone Hopper
Assembly:1\Cyclone
-4.835
Hopper - Part - 6
(Long Ribs-1):1
Cyclone Hopper
Assembly:1\Cyclone
6.027
Hopper - Part - 6
(Long Ribs-1):1
Cyclone Hopper
Assembly:1\Cyclone
8.03
Hopper - Part - 6
(Long Ribs-1):1
Subcase 1
Cyclone Hopper
Assembly:1\Cyclone
-5.08
Hopper - Part - 5
(Other Rings):1
Cyclone Hopper
Assembly:1\Cyclone
6.498
Hopper - Part - 5
(Other Rings):1
Cyclone Hopper
Assembly:1\Cyclone
5.372
Hopper - Part - 5
(Other Rings):1
Subcase 1
Cyclone Hopper
Assembly:1\Cyclone
-3.981
Hopper - Part - 4
(Stiff Rings):1
Cyclone Hopper
Assembly:1\Cyclone
4.063
Hopper - Part - 4
(Stiff Rings):1
Cyclone Hopper
Assembly:1\Cyclone
5.169
Hopper - Part - 4
(Stiff Rings):1
Subcase 1
Cyclone Hopper
Assembly:1\Cyclone
-20.6
Hopper - Part - 3
(Bottom Ring):1
Cyclone Hopper
Assembly:1\Cyclone
12.6
Hopper - Part - 3
(Bottom Ring):1
Cyclone Hopper
Assembly:1\Cyclone
19.55
Hopper - Part - 3
(Bottom Ring):1
Subcase 1
-8.088
Cyclone Hopper
Assembly:1\Cyclone
10.55
Cyclone Hopper
Assembly:1\Cyclone
10.48
Cyclone Hopper
Assembly:1\Cyclone
Subcase 1
Hopper - Part - 2
(Top Ring):1
Hopper - Part - 2
(Top Ring):1
Hopper - Part - 2
(Top Ring):1
Cyclone Hopper
Assembly:1\Cyclone
-10.5
Hopper - Part - 1
(Cone):1
Cyclone Hopper
Assembly:1\Cyclone
17.69
Hopper - Part - 1
(Cone):1
Cyclone Hopper
Assembly:1\Cyclone
24.57
Hopper - Part - 1
(Cone):1
Subcase 1
0.0
Cyclone Hopper
Assembly:1
0.0
Cyclone Hopper
Assembly:1
0.0
Cyclone Hopper
Assembly:1
Subcase 1
-78.88
Bottom Lifting
Device:1
80.48
Bottom Lifting
Device:1
72.68
Bottom Lifting
Device:1
Subcase 1
-78.88
80.48
72.68
Table 30.1.4 Solution Error Measure and the Relative Stress Error Summary
Subcase
SUBCASE 1
Solution Error Measure
8.4E-08
Shell Element Relative
Stress Error
Solid Element Relative
Stress Error
n/a
Figure 5 - OUTPUT SET: SUBCASE 1 -- DEFORMED TOTAL: (MIN=0, MAX=0.495746) -- CONTOUR:
DISPLACEMENT (mm) (TOTAL)
6.508E-02
Figure 6 - OUTPUT SET: SUBCASE 1 -- DEFORMED TOTAL: (MIN=0, MAX=0.495746) -- CONTOUR: SOLID VON
MISES STRESS (MPa)
Figure 7 - OUTPUT SET: SUBCASE 1 -- DEFORMED TOTAL: (MIN=0, MAX=0.495746) -- CONTOUR: SOLID
PRINCIPAL A STRESS (MPa)
Figure 8 - OUTPUT SET: SUBCASE 1 -- DEFORMED TOTAL: (MIN=0, MAX=0.495746) -- CONTOUR: SOLID
PRINCIPAL C STRESS (MPa)
31. Conclusion:
A linear static analysis was performed using the Autodesk Nastran Version 14.0.0.202 finite element solver on the
hnzt7o9o8 structure. The finite element model contained mainly Top Lifting Device:1 elements and consisted of
4171344 degrees of freedom.1 loading condition was analyzed.The maximum displacement was 0.2474 mm (load
case Subcase 1)The maximum von Mises stress was 27.62 (load case Subcase 1).
Maximum Von Mises Stress (MPa) = 72.68 @ Bottom Lifting Device (Tailing Lug)
Maximum Principal Stress (MPa) = 80.48 @ Bottom Lifting Device (Tailing Lug)
As all induce stresses are within allowable stress limits one equipment in the lifting condition conclude that
the Cyclone Hopper would be safe during Lifting.
32. Glossary:
Aspect Ratio
Ratio of an element's longest side to its adjacent side.
Bi-Directional Slide
Prevents contacting regions from separating or closing but permits sliding (zero coefficient of friction
Bounding Box
A three-dimensional cube aligned to the global x,y and z axes that exactly contains a body or assembly.
Follower Force
Loads that follow the motion of the structure as it deforms.
General Contact
Models standard nonlinear surface contact with friction if specified.
Relative Stress Error
A measure of mesh convergence (values greater than 0.01 may indicate that further mesh refinement is required
in areas with large stress gradients over a few elements).
Rough Contact
Nonlinear contact that allows separation and closure but does not permit sliding (infinite friction).
Skew Angle
The angle between the lines that join opposite midsides of a quadrilateral face.
Solution Error Measure
A measure of solution quality (values less than 1.0E-07 are generally considered acceptable).
Taper Ratio
The ratio of the areas on the two sides of a diagonal of a quadrilateral face.
Warping Angle
The extent to which a quadrilateral face deviates from being planar.
Welded Contact
Prevents contacting regions from sliding, separating, or closing.
Case - 7
33. Model Definition
33.1 Group Definition
The model is divided into 1 property group(s). Details for each group are given in Table 3.1.1.
1. The bounding box for all positioned bodies in the model measures 7520.0 by 1.094E+04 by 1.585E+04mm along
the basic coordinate system x, y and z axes, respectively.
2. The total mass of the model is 10.73 t.
3. The model center of mass is located at (, , ) mm.
Table 33.1.1 Group Definition
Property Group
SOLID 2
Bounding Box
(mm)
Material
Mass
(t)
7520.0, 1.094E+04,
1.585E+04
MAT 1
Volume
(mm3)
10.73
Nodes
1.367E+09
1162424
Elements
611770
Table 33.1.2 Part Mass Properties
No Data
33.2 Contact Definition
The model contains 174 contact region(s).
- Adaptive stiffness scaling is enabled.
33.3 Material Properties
3.3.1 Isotropic Material Definition
Material
ID
1
E
2.1E+05
G
8.077E+04
NU
RHO
0.3
7.85E-09
ALPHA
1.2E-05
T-REF
0.0
33.4 Mesh
The finite element mesh is shown in the figure below. The model consists of a total of 1256488 nodes and 611770
elements.
Figure 2 - Finite Element Mesh
34. Environment
34.1 Structural Loading
The finite element environments are shown in the figures below. Applied structural loading is summarized in Table
4.1.1. Applied load vector resultants are defined in the basic coordinate system. Moments are summed about location
(0.0,0.0,0.0).
Table 34.1.1 Applied Load Vector Resultant
Resultant Force(N)
Subcase
SUBCASE 1
XT
YT
0.0
Resultant Moment(N mm)
ZT
XR
YR
ZR
0.0 1.577E+05 6.405E+08 3.157E+04
0.0
34.2 Structural Support
Reaction loads are summarized in Table 4.2.1. Reaction load vector resultants are defined in the basic coordinate
system. Moments are summed about location (0.0,0.0,0.0).
Table 34.2.1 Reaction Load Vector Resultant
Resultant Force (N)
Subcase
SUBCASE 1
XT
-6.585E-03
YT
Resultant Moment(N mm)
ZT
XR
YR
1.901E-02 -1.577E+05 -6.392E+08 -1.234E+05
ZR
2.854E+05
Applied Loads
Load 1 (Gravity force)
Load 2 (Acting force)
Constrain 1 (trunnion -1)
Constrain 2 (trunnion -2)
Constrain 3 (Tailing Lug)
35. Solution
The solution to the Environment defined in Section 4 applied to the Model defined in Section 3 is given below. The
program selected the PCGLSS linear solver. Total solution time was 1318.1 seconds.The largest solution error
measure was 7.983E-09 for SUBCASE 1.The largest solid element relative stress error was 0.1178 for SUBCASE
1.The results are summarized in the table(s) and figure(s) below.
Table 35.1.1 Displacement Summary
Subcase
Subcase 1
Subcase 1
Subcase 1
Minimum
Displacement (mm)
Property Group
0.0
Top Lifting Device:1
0.1617
Cyclone Hopper
Assembly:1\Cyclone
Hopper - Part - 7
(Long Ribs-2):1
6.727E-03
Cyclone Hopper
Assembly:1\Cyclone
Hopper - Part - 6
(Long Ribs-1):1
Maxmium
Displacement (mm)
Property Group
0.3449
Top Lifting Device:1
0.2435
Cyclone Hopper
Assembly:1\Cyclone
Hopper - Part - 7
(Long Ribs-2):1
0.4915
Cyclone Hopper
Assembly:1\Cyclone
Hopper - Part - 6
(Long Ribs-1):1
0.207
Cyclone Hopper
Assembly:1\Cyclone
Hopper - Part - 5
(Other Rings):1
0.2539
Cyclone Hopper
Assembly:1\Cyclone
Hopper - Part - 5
(Other Rings):1
0.1102
Cyclone Hopper
Assembly:1\Cyclone
Hopper - Part - 4
(Stiff Rings):1
0.4892
Cyclone Hopper
Assembly:1\Cyclone
Hopper - Part - 4
(Stiff Rings):1
0.1608
Cyclone Hopper
Assembly:1\Cyclone
Hopper - Part - 3
(Bottom Ring):1
0.2254
Cyclone Hopper
Assembly:1\Cyclone
Hopper - Part - 3
(Bottom Ring):1
6.214E-03
Cyclone Hopper
Assembly:1\Cyclone
Hopper - Part - 2
(Top Ring):1
0.2946
Cyclone Hopper
Assembly:1\Cyclone
Hopper - Part - 2
(Top Ring):1
6.122E-03
Cyclone Hopper
Assembly:1\Cyclone
Hopper - Part - 1
(Cone):1
0.4926
Cyclone Hopper
Assembly:1\Cyclone
Hopper - Part - 1
(Cone):1
Subcase 1
Subcase 1
0.0
Cyclone Hopper
Assembly:1
0.0
Cyclone Hopper
Assembly:1
Subcase 1
0.0
Bottom Lifting
Device:1
0.2361
Bottom Lifting
Device:1
Subcase 1
0.0
Subcase 1
Subcase 1
Subcase 1
Subcase 1
0.4926
Table 35.1.2 Peak Displacement Component Summary
Displacement Components (mm)
Subcase
SUBCASE 1
XT
0.291
YT
ZT
0.3507
0.3596
Rotation Components (mm)
XR
YR
0.0
ZR
0.0
0.0
Table 35.1.3 Stress Results Summary
Subcase
Minimum
Principal
Stress
(MPa)
Property Group
Maximum
Principal
Stress
(MPa)
Property Group
Maximum
Von
Mises
Stress
(MPa)
Property Group
Subcase 1
-24.68 Top Lifting Device:1
22.05 Top Lifting Device:1
22.41 Top Lifting Device:1
Subcase 1
Cyclone Hopper
Assembly:1\Cyclone
-18.25
Hopper - Part - 7
(Long Ribs-2):1
Cyclone Hopper
Assembly:1\Cyclone
3.682
Hopper - Part - 7
(Long Ribs-2):1
Cyclone Hopper
Assembly:1\Cyclone
15.25
Hopper - Part - 7
(Long Ribs-2):1
Subcase 1
Cyclone Hopper
Assembly:1\Cyclone
-3.16
Hopper - Part - 6
(Long Ribs-1):1
Cyclone Hopper
Assembly:1\Cyclone
14.9
Hopper - Part - 6
(Long Ribs-1):1
Cyclone Hopper
Assembly:1\Cyclone
15.28
Hopper - Part - 6
(Long Ribs-1):1
Subcase 1
Cyclone Hopper
Assembly:1\Cyclone
-2.691
Hopper - Part - 5
(Other Rings):1
Cyclone Hopper
Assembly:1\Cyclone
4.288
Hopper - Part - 5
(Other Rings):1
Cyclone Hopper
Assembly:1\Cyclone
3.133
Hopper - Part - 5
(Other Rings):1
Subcase 1
Cyclone Hopper
Assembly:1\Cyclone
-5.646
Hopper - Part - 4
(Stiff Rings):1
Cyclone Hopper
Assembly:1\Cyclone
5.363
Hopper - Part - 4
(Stiff Rings):1
Cyclone Hopper
Assembly:1\Cyclone
5.624
Hopper - Part - 4
(Stiff Rings):1
Subcase 1
Cyclone Hopper
Assembly:1\Cyclone
-6.364
Hopper - Part - 3
(Bottom Ring):1
Cyclone Hopper
Assembly:1\Cyclone
4.931
Hopper - Part - 3
(Bottom Ring):1
Cyclone Hopper
Assembly:1\Cyclone
8.133
Hopper - Part - 3
(Bottom Ring):1
Subcase 1
Cyclone Hopper
Assembly:1\Cyclone
-6.704
Hopper - Part - 2
(Top Ring):1
Cyclone Hopper
Assembly:1\Cyclone
14.98
Hopper - Part - 2
(Top Ring):1
Cyclone Hopper
Assembly:1\Cyclone
15.81
Hopper - Part - 2
(Top Ring):1
Subcase 1
Cyclone Hopper
Assembly:1\Cyclone
-7.448
Hopper - Part - 1
(Cone):1
Cyclone Hopper
Assembly:1\Cyclone
17.54
Hopper - Part - 1
(Cone):1
Cyclone Hopper
Assembly:1\Cyclone
18.26
Hopper - Part - 1
(Cone):1
Subcase 1
0.0
Cyclone Hopper
Assembly:1
0.0
Cyclone Hopper
Assembly:1
0.0
Cyclone Hopper
Assembly:1
Subcase 1
-29.05
Bottom Lifting
Device:1
41.85
Bottom Lifting
Device:1
49.19
Bottom Lifting
Device:1
Subcase 1
-29.05
41.85
49.19
Table 35.1.4 Solution Error Measure and the Relative Stress Error Summary
Subcase
SUBCASE 1
Solution Error Measure
7.983E-09
Shell Element Relative
Stress Error
n/a
Solid Element Relative
Stress Error
0.1178
Figure 5 - OUTPUT SET: SUBCASE 1 -- DEFORMED TOTAL: (MIN=0, MAX=0.492643) -- CONTOUR:
DISPLACEMENT (mm) (TOTAL)
Figure 6 - OUTPUT SET: SUBCASE 1 -- DEFORMED TOTAL: (MIN=0, MAX=0.492643) -- CONTOUR: SOLID VON
MISES STRESS (MPa)
Figure 7 - OUTPUT SET: SUBCASE 1 -- DEFORMED TOTAL: (MIN=0, MAX=0.492643) -- CONTOUR: SOLID
PRINCIPAL A STRESS (MPa)
Figure 8 - OUTPUT SET: SUBCASE 1 -- DEFORMED TOTAL: (MIN=0, MAX=0.492643) -- CONTOUR: SOLID
PRINCIPAL C STRESS (MPa)
36. Conclusion:
A linear static analysis was performed using the Autodesk Nastran Version 14.0.0.202 finite element solver on the
hnzt7o9o8 structure. The finite element model contained mainly Top Lifting Device:1 elements and consisted of
4159356 degrees of freedom.1 loading condition was analyzed.The maximum displacement was 0.3449 mm (load
case Subcase 1)The maximum von Mises stress was 22.41 (load case Subcase 1).
Maximum Von Mises Stress (MPa) = 49.49 @ Bottom Lifting Device (Tailing Lug)
As all induce stresses are within allowable stress limits one equipment in the lifting condition conclude that
the Cyclone Hopper would be safe during Lifting.
37. Glossary:
Aspect Ratio
Ratio of an element's longest side to its adjacent side.
Bi-Directional Slide
Prevents contacting regions from separating or closing but permits sliding (zero coefficient of friction
Bounding Box
A three-dimensional cube aligned to the global x,y and z axes that exactly contains a body or assembly.
Follower Force
Loads that follow the motion of the structure as it deforms.
General Contact
Models standard nonlinear surface contact with friction if specified.
Relative Stress Error
A measure of mesh convergence (values greater than 0.01 may indicate that further mesh refinement is required
in areas with large stress gradients over a few elements).
Rough Contact
Nonlinear contact that allows separation and closure but does not permit sliding (infinite friction).
Skew Angle
The angle between the lines that join opposite midsides of a quadrilateral face.
Solution Error Measure
A measure of solution quality (values less than 1.0E-07 are generally considered acceptable).
Taper Ratio
The ratio of the areas on the two sides of a diagonal of a quadrilateral face.
Warping Angle
The extent to which a quadrilateral face deviates from being planar.
Welded Contact
Prevents contacting regions from sliding, separating, or closing.
Case - 8
38. Model Definition
38.1 Group Definition
The model is divided into 1 property group(s). Details for each group are given in Table 3.1.1.
1. The bounding box for all positioned bodies in the model measures 7520.0 by 6902.0 by 1.55E+04mm along the
basic coordinate system x, y and z axes, respectively.
2. The total mass of the model is 10.73 t.
3. The model center of mass is located at (, , ) mm.
Table 38.1.1 Group Definition
Property Group
SOLID 2
Bounding Box
(mm)
Material
Mass
(t)
7520.0, 6902.0,
1.55E+04
MAT 1
Volume
(mm3)
10.73
Nodes
1.367E+09
1165035
Elements
613149
Table 38.1.2 Part Mass Properties
No Data
38.2 Contact Definition
The model contains 174 contact region(s).
- Adaptive stiffness scaling is enabled.
38.3 Material Properties
38.3.1 Isotropic Material Definition
Material
ID
1
E
2.1E+05
G
8.077E+04
NU
RHO
0.3
7.85E-09
ALPHA
1.2E-05
T-REF
0.0
38.4 Mesh
The finite element mesh is shown in the figure below. The model consists of a total of 1259186 nodes and 613149
elements.
Figure 2 - Finite Element Mesh
39. Environment
39.1 Structural Loading
The finite element environments are shown in the figures below. Applied structural loading is summarized in Table
4.1.1. Applied load vector resultants are defined in the basic coordinate system. Moments are summed about location
(0.0,0.0,0.0).
Table 39.1.1 Applied Load Vector Resultant
Resultant Force(N)
Subcase
SUBCASE 1
XT
YT
0.0
0.0
Resultant Moment(N mm)
ZT
XR
YR
1.577E+05
-1.12E+06
ZR
3955.0
0.0
39.2 Structural Support
Reaction loads are summarized in Table 4.2.1. Reaction load vector resultants are defined in the basic coordinate
system. Moments are summed about location (0.0,0.0,0.0).
Table 39.2.1 Reaction Load Vector Resultant
Resultant Force (N)
Subcase
SUBCASE 1
XT
-5.234E-03
YT
Resultant Moment(N mm)
ZT
2.392E-02 -1.577E+05
XR
YR
9.836E+05 -3.679E+04
ZR
9.757E+04
Applied Loads
Load 1 (Gravity force)
Load 2 (Acting force)
Constrain 1 (trunnion -1)
Constrain 2 (trunnion -2)
40. Solution
The solution to the Environment defined in Section 4 applied to the Model defined in Section 3 is given below. The
program selected the PCGLSS linear solver. Total solution time was 1433.9 seconds.The largest solution error
measure was 6.225E-08 for SUBCASE 1.The largest solid element relative stress error was 0.1387 for SUBCASE
1.The results are summarized in the table(s) and figure(s) below.
Table 40.1.1 Displacement Summary
Subcase
Subcase 1
Minimum
Displacement (mm)
Property Group
0.0
Top Lifting Device:1
0.2003
Cyclone Hopper
Assembly:1\Cyclone
Hopper - Part - 7
(Long Ribs-2):1
3.96E-04
Cyclone Hopper
Assembly:1\Cyclone
Hopper - Part - 6
(Long Ribs-1):1
0.1951
Cyclone Hopper
Assembly:1\Cyclone
Hopper - Part - 5
(Other Rings):1
0.1686
Cyclone Hopper
Assembly:1\Cyclone
Hopper - Part - 4
(Stiff Rings):1
0.2258
Cyclone Hopper
Assembly:1\Cyclone
Hopper - Part - 3
(Bottom Ring):1
1.047E-03
Cyclone Hopper
Assembly:1\Cyclone
Hopper - Part - 2
(Top Ring):1
Subcase 1
Maxmium
Displacement (mm)
Property Group
0.3866
Top Lifting Device:1
0.2561
Cyclone Hopper
Assembly:1\Cyclone
Hopper - Part - 7
(Long Ribs-2):1
0.3954
Cyclone Hopper
Assembly:1\Cyclone
Hopper - Part - 6
(Long Ribs-1):1
0.2579
Cyclone Hopper
Assembly:1\Cyclone
Hopper - Part - 5
(Other Rings):1
0.3914
Cyclone Hopper
Assembly:1\Cyclone
Hopper - Part - 4
(Stiff Rings):1
0.2516
Cyclone Hopper
Assembly:1\Cyclone
Hopper - Part - 3
(Bottom Ring):1
0.2771
Cyclone Hopper
Assembly:1\Cyclone
Hopper - Part - 2
(Top Ring):1
4.235E-03
Cyclone Hopper
Assembly:1\Cyclone
Hopper - Part - 1
(Cone):1
0.3991
Cyclone Hopper
Assembly:1\Cyclone
Hopper - Part - 1
(Cone):1
Subcase 1
0.0
Cyclone Hopper
Assembly:1
0.0
Cyclone Hopper
Assembly:1
Subcase 1
0.2231
Bottom Lifting
Device:1
0.2517
Bottom Lifting
Device:1
Subcase 1
Subcase 1
Subcase 1
Subcase 1
Subcase 1
Subcase 1
Subcase 1
0.0
0.3991
Table 40.1.2 Peak Displacement Component Summary
Displacement Components (mm)
Subcase
SUBCASE
1
XT
YT
ZT
0.3306
0.3485
0.3866
Rotation Components (mm)
XR
YR
0.0
ZR
0.0
0.0
Table 40.1.3 Stress Results Summary
Subcase
Minimum
Principal
Stress
(MPa)
Property Group
Maximum
Principal
Stress
(MPa)
Property Group
Maximum
Von
Mises
Stress
(MPa)
Property Group
Subcase 1
-25.81 Top Lifting Device:1
25.76 Top Lifting Device:1
22.97 Top Lifting Device:1
Subcase 1
Cyclone Hopper
Assembly:1\Cyclone
-1.073
Hopper - Part - 7
(Long Ribs-2):1
Cyclone Hopper
Assembly:1\Cyclone
1.481
Hopper - Part - 7
(Long Ribs-2):1
Cyclone Hopper
Assembly:1\Cyclone
1.243
Hopper - Part - 7
(Long Ribs-2):1
Subcase 1
Cyclone Hopper
Assembly:1\Cyclone
-2.458
Hopper - Part - 6
(Long Ribs-1):1
Cyclone Hopper
Assembly:1\Cyclone
15.17
Hopper - Part - 6
(Long Ribs-1):1
Cyclone Hopper
Assembly:1\Cyclone
15.36
Hopper - Part - 6
(Long Ribs-1):1
Subcase 1
Cyclone Hopper
Assembly:1\Cyclone
-1.412
Hopper - Part - 5
(Other Rings):1
Cyclone Hopper
Assembly:1\Cyclone
1.35
Hopper - Part - 5
(Other Rings):1
Cyclone Hopper
Assembly:1\Cyclone
1.404
Hopper - Part - 5
(Other Rings):1
Subcase 1
Cyclone Hopper
Assembly:1\Cyclone
-6.362
Hopper - Part - 4
(Stiff Rings):1
Cyclone Hopper
Assembly:1\Cyclone
6.075
Hopper - Part - 4
(Stiff Rings):1
Cyclone Hopper
Assembly:1\Cyclone
6.333
Hopper - Part - 4
(Stiff Rings):1
Subcase 1
Cyclone Hopper
Assembly:1\Cyclone
-2.089
Hopper - Part - 3
(Bottom Ring):1
Cyclone Hopper
Assembly:1\Cyclone
1.019
Hopper - Part - 3
(Bottom Ring):1
Cyclone Hopper
Assembly:1\Cyclone
1.601
Hopper - Part - 3
(Bottom Ring):1
Subcase 1
-10.33
Cyclone Hopper
Assembly:1\Cyclone
16.33
Cyclone Hopper
Assembly:1\Cyclone
18.29
Cyclone Hopper
Assembly:1\Cyclone
Subcase 1
Hopper - Part - 2
(Top Ring):1
Hopper - Part - 2
(Top Ring):1
Hopper - Part - 2
(Top Ring):1
Cyclone Hopper
Assembly:1\Cyclone
-7.754
Hopper - Part - 1
(Cone):1
Cyclone Hopper
Assembly:1\Cyclone
21.23
Hopper - Part - 1
(Cone):1
Cyclone Hopper
Assembly:1\Cyclone
22.07
Hopper - Part - 1
(Cone):1
Subcase 1
0.0
Cyclone Hopper
Assembly:1
0.0
Cyclone Hopper
Assembly:1
0.0
Cyclone Hopper
Assembly:1
Subcase 1
-1.486
Bottom Lifting
Device:1
3.495
Bottom Lifting
Device:1
3.436
Bottom Lifting
Device:1
Subcase 1
-25.81
25.76
22.97
Table 40.1.4 Solution Error Measure and the Relative Stress Error Summary
Subcase
SUBCASE 1
Solution Error Measure
6.225E-08
Shell Element Relative
Stress Error
Solid Element Relative
Stress Error
n/a
Figure 5 - OUTPUT SET: SUBCASE 1 -- DEFORMED TOTAL: (MIN=0, MAX=0.399069) -- CONTOUR:
DISPLACEMENT (mm) (TOTAL)
0.1387
Figure 6 - OUTPUT SET: SUBCASE 1 -- DEFORMED TOTAL: (MIN=0, MAX=0.399069) -- CONTOUR: SOLID VON
MISES STRESS (MPa)
Figure 7 - OUTPUT SET: SUBCASE 1 -- DEFORMED TOTAL: (MIN=0, MAX=0.399069) -- CONTOUR: SOLID
PRINCIPAL A STRESS (MPa)
Figure 8 - OUTPUT SET: SUBCASE 1 -- DEFORMED TOTAL: (MIN=0, MAX=0.399069) -- CONTOUR: SOLID
PRINCIPAL C STRESS (MPa)
41. Conclusion:
A linear static analysis was performed using the Autodesk Nastran Version 14.0.0.202 finite element solver on the
hnzt7o9o8 structure. The finite element model contained mainly Top Lifting Device:1 elements and consisted of
4167828 degrees of freedom.1 loading condition was analyzed.The maximum displacement was 0.3866 mm (load
case Subcase 1)The maximum von Mises stress was 22.97 (load case Subcase 1).
Maximum Von Mises Stress (MPa) = 22.97 @ Bottom Lifting Device (Tailing Lug)
Maximum Principal Stress (MPa) = 25.76 @ Bottom Lifting Device (Tailing Lug)
As all induce stresses are within allowable stress limits one equipment in the lifting condition conclude that
the Cyclone Hopper would be safe during Lifting.
42. Glossary:
Aspect Ratio
Ratio of an element's longest side to its adjacent side.
Bi-Directional Slide
Prevents contacting regions from separating or closing but permits sliding (zero coefficient of friction
Bounding Box
A three-dimensional cube aligned to the global x,y and z axes that exactly contains a body or assembly.
Follower Force
Loads that follow the motion of the structure as it deforms.
General Contact
Models standard nonlinear surface contact with friction if specified.
Relative Stress Error
A measure of mesh convergence (values greater than 0.01 may indicate that further mesh refinement is required
in areas with large stress gradients over a few elements).
Rough Contact
Nonlinear contact that allows separation and closure but does not permit sliding (infinite friction).
Skew Angle
The angle between the lines that join opposite midsides of a quadrilateral face.
Solution Error Measure
A measure of solution quality (values less than 1.0E-07 are generally considered acceptable).
Taper Ratio
The ratio of the areas on the two sides of a diagonal of a quadrilateral face.
Warping Angle
The extent to which a quadrilateral face deviates from being planar.
Welded Contact
Prevents contacting regions from sliding, separating, or closing.