3D beam truss subjected to a certain amount of force over its base. Using beam tools , the axial force , bending moments and shear force diagrams are drawn/calculated.

1. Project
First Saved Monday, October 17, 2016
Last Saved Monday, October 17, 2016
Product Version 16.0 Release
Save Project Before Solution No
Save Project After Solution No

2. Contents
 Units
 Model (A4)
o Geometry
 Parts
o Construction Geometry
 Path
o Coordinate Systems
o Connections
 Contacts
 Bonded - Line Body To Surface Body
o Mesh
o Named Selections
o Static Structural (A5)
 Analysis Settings
 Loads
 Solution (A6)
 Solution Information
 Results
 Beam Tool
 Results
 Results
 Stress Tool
 Safety Factor
 Material Data
o Structural Steel
Units
TABLE 1
Unit System Metric (mm, kg, N, s, mV, mA) Degrees RPM Celsius
Angle Degrees
Rotational Velocity RPM
Temperature Celsius
Model (A4)
Geometry
TABLE 2
Model (A4) > Geometry
Object Name Geometry
State Fully Defined
Definition
Source
C:UsersVishnu RajaranganAppDataLocalTempWB_VISHNU-PC_Vishnu
Rajarangan_10344_2unsaved_project_filesdp0SYSDMSYS.agdb
Type DesignModeler

3. Length Unit Meters
Element Control Program Controlled
Display Style Body Color
Bounding Box
Length X 8000. mm
Length Y 2000. mm
Length Z 2000. mm
Properties
Volume 1.7394e+009 mm³
Mass 13655 kg
Scale Factor
Value
1.
Statistics
Bodies 2
Active Bodies 2
Nodes 995
Elements 676
Mesh Metric None
Basic Geometry Options
Parameters Yes
Parameter Key DS
Attributes No
Named
Selections
No
Material
Properties
No
Advanced Geometry Options
Use Associativity Yes
Coordinate
Systems
No
Reader Mode
Saves Updated
File
No
Use Instances Yes
Smart CAD
Update
No
Compare Parts
On Update
No
Attach File Via
Temp File
Yes
Temporary
Directory
C:UsersVishnu RajaranganAppDataLocalTemp
Analysis Type 3-D
Decompose
Disjoint
Geometry
Yes
Enclosure and
Symmetry
Processing
Yes

4. TABLE 3
Model (A4) > Geometry > Parts
Object Name Line Body Surface Body
State Meshed
Graphics Properties
Visible Yes
Transparency 1
Definition
Suppressed No
Coordinate System Default Coordinate System
Reference Temperature By Environment
Offset Mode Refresh on Update
Offset Type Centroid Middle
Model Type Beam
Stiffness Behavior Flexible
Thickness 100. mm
Thickness Mode Refresh on Update
Material
Assignment Structural Steel
Nonlinear Effects Yes
Thermal Strain Effects Yes
Bounding Box
Length X 8000. mm
Length Y 2000. mm 0. mm
Length Z 2000. mm
Properties
Volume 1.3944e+008 mm³ 1.6e+009 mm³
Mass 1094.6 kg 12560 kg
Length 55777 mm
Cross Section Rect1
Cross Section Area 2500. mm²
Cross Section IYY 5.2083e+005 mm²·mm²
Cross Section IZZ 5.2083e+005 mm²·mm²
Centroid X 4000. mm
Centroid Y 0. mm
Centroid Z 1000. mm
Moment of Inertia Ip1 4.1867e+009 kg·mm²
Moment of Inertia Ip2 7.1173e+010 kg·mm²
Moment of Inertia Ip3 6.6987e+010 kg·mm²
Surface Area(approx.) 1.6e+007 mm²
Statistics
Nodes 544 451
Elements 276 400
Mesh Metric None
TABLE 4
Model (A4) > Construction Geometry
Object Name Construction Geometry
State Fully Defined

5. Display
Show Mesh No
TABLE 5
Model (A4) > Construction Geometry > Paths
Object Name Path
State Fully Defined
Definition
Path Type Edge
Suppressed No
Scope
Geometry 3 Edges
Coordinate Systems
TABLE 6
Model (A4) > Coordinate Systems > Coordinate System
Object Name Global Coordinate System
State Fully Defined
Definition
Type Cartesian
Coordinate System ID 0.
Origin
Origin X 0. mm
Origin Y 0. mm
Origin Z 0. mm
Directional Vectors
X Axis Data [ 1. 0. 0. ]
Y Axis Data [ 0. 1. 0. ]
Z Axis Data [ 0. 0. 1. ]
Connections
TABLE 7
Model (A4) > Connections
Object Name Connections
State Fully Defined
Auto Detection
Generate Automatic Connection On Refresh Yes
Transparency
Enabled Yes
TABLE 8
Model (A4) > Connections > Contacts
Object Name Contacts
State Fully Defined
Definition
Connection Type Contact

6. Scope
Scoping Method Geometry Selection
Geometry All Bodies
Auto Detection
Tolerance Type Slider
Tolerance Slider 0.
Tolerance Value 21.213 mm
Use Range No
Face/Face No
Face/Edge No
Edge/Edge No
Priority Include All
Group By Bodies
Search Across Bodies
Statistics
Connections 1
Active Connections 1
TABLE 9
Model (A4) > Connections > Contacts > Contact Regions
Object Name Bonded - Line Body To Surface Body
State Fully Defined
Scope
Scoping Method Geometry Selection
Contact 10 Vertices
Target 2 Edges
Contact Bodies Line Body
Target Bodies Surface Body
Shell Thickness Effect No
Definition
Type Bonded
Scope Mode Manual
Trim Contact Program Controlled
Suppressed No
Advanced
Formulation Program Controlled
Penetration Tolerance Program Controlled
Elastic Slip Tolerance Program Controlled
Normal Stiffness Program Controlled
Update Stiffness Program Controlled
Pinball Region Program Controlled
Mesh
TABLE 10
Model (A4) > Mesh
Object Name Mesh
State Solved

7. Display
Display Style Body Color
Defaults
Physics Preference Mechanical
Relevance 0
Sizing
Use Advanced Size Function On: Curvature
Use Fixed Size Function For Sheets No
Relevance Center Coarse
Initial Size Seed Active Assembly
Smoothing Medium
Span Angle Center Coarse
Curvature Normal Angle Default (30.0 °)
Min Size Default (100.0 mm)
Max Face Size 200.0 mm
Growth Rate Default
Minimum Edge Length 2000.0 mm
Inflation
Use Automatic Inflation None
Inflation Option Smooth Transition
Transition Ratio 0.272
Maximum Layers 2
Growth Rate 1.2
Inflation Algorithm Pre
View Advanced Options No
Patch Conforming Options
Triangle Surface Mesher Program Controlled
Patch Independent Options
Topology Checking No
Advanced
Number of CPUs for Parallel Part Meshing Program Controlled
Shape Checking Standard Mechanical
Element Midside Nodes Program Controlled
Straight Sided Elements No
Number of Retries Default (4)
Extra Retries For Assembly Yes
Rigid Body Behavior Dimensionally Reduced
Mesh Morphing Disabled
Defeaturing
Use Sheet Thickness for Pinch No
Pinch Tolerance Default (90.0 mm)
Generate Pinch on Refresh No
Sheet Loop Removal No
Automatic Mesh Based Defeaturing On
Defeaturing Tolerance Default (75.0 mm)
Statistics
Nodes 995
Elements 676

8. Mesh Metric None
Named Selections
Static Structural (A5)
TABLE 11
Model (A4) > Analysis
Object Name Static Structural (A5)
State Solved
Definition
Physics Type Structural
Analysis Type Static Structural
Solver Target Mechanical APDL
Options
Environment Temperature 22. °C
Generate Input Only No
TABLE 12
Model (A4) > Static Structural (A5) > Analysis Settings
Object Name Analysis Settings
State Fully Defined
Step Controls
Number Of Steps 1.
Current Step Number 1.
Step End Time 1. s
Auto Time Stepping Program Controlled
Solver Controls
Solver Type Program Controlled
Weak Springs Program Controlled
Solver Pivot Checking Program Controlled
Large Deflection Off
Inertia Relief Off
Restart Controls
Generate Restart Points Program Controlled
Retain Files After Full Solve No
Nonlinear Controls
Newton-Raphson Option Program Controlled
Force Convergence Program Controlled
Moment Convergence Program Controlled
Displacement Convergence Program Controlled
Rotation Convergence Program Controlled
Line Search Program Controlled
Stabilization Off
Output Controls
Stress Yes
Strain Yes
Nodal Forces No

9. Contact Miscellaneous No
General Miscellaneous No
Store Results At All Time Points
Analysis Data Management
Solver Files Directory D:New folderBeam Analysis_filesdp0SYSMECH
Future Analysis None
Scratch Solver Files Directory
Save MAPDL db No
Delete Unneeded Files Yes
Nonlinear Solution No
Solver Units Active System
Solver Unit System nmm
TABLE 13
Model (A4) > Static Structural (A5) > Loads
Object Name Fixed Support Displacement Pressure
State Fully Defined
Scope
Scoping Method Geometry Selection
Geometry 1 Edge 1 Face
Definition
Type Fixed Support Displacement Pressure
Suppressed No
Define By Components Normal To
Coordinate System Global Coordinate System
X Component Free
Y Component 0. mm (ramped)
Z Component Free
Magnitude 0.2 MPa (ramped)
FIGURE 1
Model (A4) > Static Structural (A5) > Displacement

10. FIGURE 2
Model (A4) > Static Structural (A5) > Pressure

11. Solution (A6)
TABLE 14
Model (A4) > Static Structural (A5) > Solution
Object Name Solution (A6)
State Solved
Adaptive Mesh Refinement
Max Refinement Loops 1.
Refinement Depth 2.
Information
Status Done
Post Processing
Calculate Beam Section Results No
TABLE 15
Model (A4) > Static Structural (A5) > Solution (A6) > Solution Information
Object Name Solution Information
State Solved
Solution Information
Solution Output Solver Output
Newton-Raphson Residuals 0
Update Interval 2.5 s
Display Points All
FE Connection Visibility
Activate Visibility Yes
Display All FE Connectors
Draw Connections Attached To All Nodes
Line Color Connection Type
Visible on Results No
Line Thickness Single
Display Type Lines
TABLE 16
Model (A4) > Static Structural (A5) > Solution (A6) > Results
Object Name Equivalent Stress Total Deformation
State Solved
Scope
Scoping Method Geometry Selection
Geometry All Bodies
Position Top/Bottom
Definition
Type Equivalent (von-Mises) Stress Total Deformation
By Time
Display Time Last
Calculate Time History Yes
Identifier
Suppressed No
Integration Point Results
Display Option Averaged

12. Average Across Bodies No
Results
Minimum 9.1792 MPa 0. mm
Maximum 123.12 MPa 16.238 mm
Minimum Occurs On Surface Body
Maximum Occurs On Surface Body
Information
Time 1. s
Load Step 1
Substep 1
Iteration Number 1
FIGURE 3
Model (A4) > Static Structural (A5) > Solution (A6) > Equivalent Stress
TABLE 17
Model (A4) > Static Structural (A5) > Solution (A6) > Equivalent Stress
Time [s] Minimum [MPa] Maximum [MPa]
1. 9.1792 123.12
FIGURE 4
Model (A4) > Static Structural (A5) > Solution (A6) > Equivalent Stress > Figure

13. FIGURE 5
Model (A4) > Static Structural (A5) > Solution (A6) > Total Deformation

14. TABLE 18
Model (A4) > Static Structural (A5) > Solution (A6) > Total Deformation
Time [s] Minimum [mm] Maximum [mm]
1. 0. 16.238
FIGURE 6
Model (A4) > Static Structural (A5) > Solution (A6) > Total Deformation > Figure

15. TABLE 19
Model (A4) > Static Structural (A5) > Solution (A6) > Beam Tool
Object Name Beam Tool
State Solved
Scope
Geometry All Line Bodies
TABLE 20
Model (A4) > Static Structural (A5) > Solution (A6) > Beam Tool > Results
Object Name Direct Stress Minimum Combined Stress Maximum Combined Stress
State Solved
Definition
Type Direct Stress Minimum Combined Stress Maximum Combined Stress
By Time
Display Time Last
Calculate Time History Yes
Identifier
Suppressed No
Integration Point Results

16. Display Option Averaged
Results
Minimum -299.19 MPa -312.91 MPa -295.69 MPa
Maximum 258.06 MPa 256.27 MPa 286.39 MPa
Information
Time 1. s
Load Step 1
Substep 1
Iteration Number 1
FIGURE 7
Model (A4) > Static Structural (A5) > Solution (A6) > Beam Tool > Direct Stress
TABLE 21
Model (A4) > Static Structural (A5) > Solution (A6) > Beam Tool > Direct Stress
Time [s] Minimum [MPa] Maximum [MPa]
1. -299.19 258.06
FIGURE 8
Model (A4) > Static Structural (A5) > Solution (A6) > Beam Tool > Direct Stress > Figure

17. FIGURE 9
Model (A4) > Static Structural (A5) > Solution (A6) > Beam Tool > Minimum Combined Stress

18. TABLE 22
Model (A4) > Static Structural (A5) > Solution (A6) > Beam Tool > Minimum Combined Stress
Time [s] Minimum [MPa] Maximum [MPa]
1. -312.91 256.27
FIGURE 10
Model (A4) > Static Structural (A5) > Solution (A6) > Beam Tool > Minimum Combined Stress >
Figure

19. FIGURE 11
Model (A4) > Static Structural (A5) > Solution (A6) > Beam Tool > Maximum Combined Stress

20. TABLE 23
Model (A4) > Static Structural (A5) > Solution (A6) > Beam Tool > Maximum Combined Stress
Time [s] Minimum [MPa] Maximum [MPa]
1. -295.69 286.39
FIGURE 12
Model (A4) > Static Structural (A5) > Solution (A6) > Beam Tool > Maximum Combined Stress >
Figure

21. TABLE 24
Model (A4) > Static Structural (A5) > Solution (A6) > Results
Object Name Axial Force
Total Bending
Moment
Total Shear-
Moment Diagram
Total Shear-
Moment
Diagram 2
Total Shear-
Moment Diagram
3
State Solved
Scope
Scoping
Method
Geometry Selection Path
Geometry All Line Bodies
Path Path
Definition
Type
Directional Axial
Force
Total Bending
Moment
Total Shear-Moment Diagram
By Time
Display Time Last
Coordinate
System
Solution
Coordinate
System

22. Calculate
Time History
Yes
Identifier
Suppressed No
Graphics
Display
Total Bending
Moment
Total Shear
Force
Total
Displacement
Integration Point Results
Display Option Unaveraged
Results
Minimum -7.4797e+005 N 23353 N·mm 91.831 N 4.6396 mm
Maximum 6.4516e+005 N
1.136e+006
N·mm
5.5668e+005
N·mm
524.02 N 12.494 mm
Information
Time 1. s
Load Step 1
Substep 1
Iteration
Number
1
Graph Controls
X-Axis S
FIGURE 13
Model (A4) > Static Structural (A5) > Solution (A6) > Axial Force
TABLE 25
Model (A4) > Static Structural (A5) > Solution (A6) > Axial Force
Time [s] Minimum [N] Maximum [N]

23. 1. -7.4797e+005 6.4516e+005
FIGURE 14
Model (A4) > Static Structural (A5) > Solution (A6) > Axial Force > Figure
FIGURE 15
Model (A4) > Static Structural (A5) > Solution (A6) > Total Bending Moment

24. TABLE 26
Model (A4) > Static Structural (A5) > Solution (A6) > Total Bending Moment
Time [s] Minimum [N·mm] Maximum [N·mm]
1. 23353 1.136e+006
FIGURE 16
Model (A4) > Static Structural (A5) > Solution (A6) > Total Bending Moment > Figure

25. FIGURE 17
Model (A4) > Static Structural (A5) > Solution (A6) > Total Shear-Moment Diagram

26. TABLE 27
Model (A4) > Static Structural (A5) > Solution (A6) > Total Shear-Moment Diagram
Length [mm] Total Shear Force [N] Total Bending Moment [N·mm] Total Displacement [mm]
0.
396.02
3.1402e+005 4.6396
200. 2.351e+005 5.2926
400. 1.5647e+005 6.033
600. 79001 6.8306
800. 23353 7.6553
1000. 86001 8.4772
1200. 1.6369e+005 9.2664
1400. 2.4236e+005 9.9928
1600. 3.2129e+005 10.626
1800. 4.0033e+005 11.137
2000.
4.7943e+005
11.495
91.831
60647
2200. 75687 11.754

27. 2400. 91944 11.985
2600. 1.0887e+005 12.181
2800. 1.2621e+005 12.336
3000. 1.4379e+005 12.443
3200. 1.6156e+005 12.494
3400. 1.7944e+005 12.483
3600. 1.9741e+005 12.403
3800. 2.1545e+005 12.248
4000.
2.3354e+005
12.01
524.02
5.5668e+005
4200. 4.5212e+005 11.628
4400. 3.4771e+005 11.073
4600. 2.4363e+005 10.385
4800. 1.4065e+005 9.603
5000. 46639 8.7675
5200. 80852 7.9182
5400. 1.8129e+005 7.0946
5600. 2.8489e+005 6.3363
5800. 3.8914e+005 5.6832
6000. 4.9362e+005 5.1757
FIGURE 18
Model (A4) > Static Structural (A5) > Solution (A6) > Total Shear-Moment Diagram > Figure

28. FIGURE 19
Model (A4) > Static Structural (A5) > Solution (A6) > Total Shear-Moment Diagram 2

29. TABLE 28
Model (A4) > Static Structural (A5) > Solution (A6) > Total Shear-Moment Diagram 2
Length [mm] Total Shear Force [N] Total Bending Moment [N·mm] Total Displacement [mm]
0.
396.02
3.1402e+005 4.6396
200. 2.351e+005 5.2926
400. 1.5647e+005 6.033
600. 79001 6.8306
800. 23353 7.6553
1000. 86001 8.4772
1200. 1.6369e+005 9.2664
1400. 2.4236e+005 9.9928
1600. 3.2129e+005 10.626
1800. 4.0033e+005 11.137
2000.
4.7943e+005
11.495
91.831
60647
2200. 75687 11.754

30. 2400. 91944 11.985
2600. 1.0887e+005 12.181
2800. 1.2621e+005 12.336
3000. 1.4379e+005 12.443
3200. 1.6156e+005 12.494
3400. 1.7944e+005 12.483
3600. 1.9741e+005 12.403
3800. 2.1545e+005 12.248
4000.
2.3354e+005
12.01
524.02
5.5668e+005
4200. 4.5212e+005 11.628
4400. 3.4771e+005 11.073
4600. 2.4363e+005 10.385
4800. 1.4065e+005 9.603
5000. 46639 8.7675
5200. 80852 7.9182
5400. 1.8129e+005 7.0946
5600. 2.8489e+005 6.3363
5800. 3.8914e+005 5.6832
6000. 4.9362e+005 5.1757
FIGURE 20
Model (A4) > Static Structural (A5) > Solution (A6) > Total Shear-Moment Diagram 2 > Figure

31. FIGURE 21
Model (A4) > Static Structural (A5) > Solution (A6) > Total Shear-Moment Diagram 3

32. TABLE 29
Model (A4) > Static Structural (A5) > Solution (A6) > Total Shear-Moment Diagram 3
Length [mm] Total Shear Force [N] Total Bending Moment [N·mm] Total Displacement [mm]
0.
396.02
3.1402e+005 4.6396
200. 2.351e+005 5.2926
400. 1.5647e+005 6.033
600. 79001 6.8306
800. 23353 7.6553
1000. 86001 8.4772
1200. 1.6369e+005 9.2664
1400. 2.4236e+005 9.9928
1600. 3.2129e+005 10.626
1800. 4.0033e+005 11.137
2000.
4.7943e+005
11.495
91.831
60647
2200. 75687 11.754

33. 2400. 91944 11.985
2600. 1.0887e+005 12.181
2800. 1.2621e+005 12.336
3000. 1.4379e+005 12.443
3200. 1.6156e+005 12.494
3400. 1.7944e+005 12.483
3600. 1.9741e+005 12.403
3800. 2.1545e+005 12.248
4000.
2.3354e+005
12.01
524.02
5.5668e+005
4200. 4.5212e+005 11.628
4400. 3.4771e+005 11.073
4600. 2.4363e+005 10.385
4800. 1.4065e+005 9.603
5000. 46639 8.7675
5200. 80852 7.9182
5400. 1.8129e+005 7.0946
5600. 2.8489e+005 6.3363
5800. 3.8914e+005 5.6832
6000. 4.9362e+005 5.1757
FIGURE 22
Model (A4) > Static Structural (A5) > Solution (A6) > Total Shear-Moment Diagram 3 > Image

34. TABLE 30
Model (A4) > Static Structural (A5) > Solution (A6) > Stress Safety Tools
Object Name Stress Tool
State Solved
Definition
Theory Max Equivalent Stress
Stress Limit Type Tensile Yield Per Material
TABLE 31
Model (A4) > Static Structural (A5) > Solution (A6) > Stress Tool > Results
Object Name Safety Factor
State Solved
Scope
Scoping Method Geometry Selection
Geometry All Bodies
Definition
Type Safety Factor
By Time
Display Time Last
Calculate Time History Yes
Identifier
Suppressed No
Integration Point Results
Display Option Averaged
Average Across Bodies No
Results
Minimum 2.0306
Minimum Occurs On Surface Body
Information

35. Time 1. s
Load Step 1
Substep 1
Iteration Number 1
FIGURE 23
Model (A4) > Static Structural (A5) > Solution (A6) > Stress Tool > Safety Factor
TABLE 32
Model (A4) > Static Structural (A5) > Solution (A6) > Stress Tool > Safety Factor
Time [s] Minimum Maximum
1. 2.0306 15.
Material Data
Structural Steel
TABLE 33
Structural Steel > Constants
Density 7.85e-006 kg mm^-3
Coefficient of Thermal Expansion 1.2e-005 C^-1
Specific Heat 4.34e+005 mJ kg^-1 C^-1
Thermal Conductivity 6.05e-002 W mm^-1 C^-1
Resistivity 1.7e-004 ohm mm

36. TABLE 34
Structural Steel > Compressive Ultimate Strength
Compressive Ultimate Strength MPa
0
TABLE 35
Structural Steel > Compressive Yield Strength
Compressive Yield Strength MPa
250
TABLE 36
Structural Steel > Tensile Yield Strength
Tensile Yield Strength MPa
250
TABLE 37
Structural Steel > Tensile Ultimate Strength
Tensile Ultimate Strength MPa
460
TABLE 38
Structural Steel > Isotropic Secant Coefficient of Thermal Expansion
Reference Temperature C
22
TABLE 39
Structural Steel > Alternating Stress Mean Stress
Alternating Stress MPa Cycles Mean Stress MPa
3999 10 0
2827 20 0
1896 50 0
1413 100 0
1069 200 0
441 2000 0
262 10000 0
214 20000 0
138 1.e+005 0
114 2.e+005 0
86.2 1.e+006 0
TABLE 40
Structural Steel > Strain-Life Parameters
Strength
Coefficient MPa
Strength
Exponent
Ductility
Coefficient
Ductility
Exponent
Cyclic Strength
Coefficient MPa
Cyclic Strain
Hardening Exponent
920 -0.106 0.213 -0.47 1000 0.2
TABLE 41
Structural Steel > Isotropic Elasticity
Temperature C Young's Modulus MPa Poisson's Ratio Bulk Modulus MPa Shear Modulus MPa
2.e+005 0.3 1.6667e+005 76923

37. TABLE 42
Structural Steel > Isotropic Relative Permeability
Relative Permeability
10000