Help me construct a lab report on beam analysis according to the instruction, including the calculation for direct stiffness using Excel. Necessary files and images are included below. F=7000 N W=5000 N/m.
Finite Element Analysis Coursework (v10)
10
Task 06 (10 marks)
Beam Analysis
The beam is made of ASTM A36 ISO sb beam 80 x 6 mm as shown in Figure 6.
• Crossed section area (As) = 768 mm2
• Modulus of Elasticity (E) = 200 GPa
• Moment of Inertia (I) = 775549 mm4
• Point Load (F) = 7th digit of Student ID × 1000 N
• Uniform Distribution Load (W) = 5th digit of Student ID × 1000 N/m
This is a linear static implicit FE analysis.
Figure 6 (Raoufi, 2015)
1. Create the FE model of the beam and name it YourFullName_Task06.sldprt, using the
Solidworks Simulation to
• determine the maximum displacement and rotation of the beam.
• determine the reaction force A and B.
• create the Shear Force and Bending Moment Diagram.
• determine the axial stress in the beam.
2. For the statically indeterminate beam, using the Direct Stiffness Method to
• determine the maximum displacement and rotation of the beam.
• determine the reaction force A and B.
• sketch the Shear Force and Bending Moment Diagram.
• determine the axial stress of the beam.
3. Tabulate, compare and discuss the results. Word count 500 words (+/– 10%).
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Simulation of WaiLinnWin_Task06
Date: Thursday, 20 January 2022 Designer: Solidworks
Study name: Beam
Analysis type: Static
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Table of Contents Description 1 Assumptions 2 Model Information 3 Study Properties 5 Units 5 Material Properties 6 Loads and Fixtures 6 Connector Definitions 7 Contact Information 7 Mesh information 8 Sensor Details 8 Resultant Forces 9 Beams 10 Study Results 11 Conclusion 19
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No Data
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Model name: WaiLinnWin_Task06
Current Configuration: Default<As Machined>
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Beam Bodies:
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Document Name and Reference
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Formulation
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Properties
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Document Path/Date Modified
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SolidBody 1(Sb beam – configured 80 X 6(1)[2])
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Beam – Uniform C/S
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Section Standard-weldment profiles/iso/sb beam
Section Area: 0.000767584m^2
Length:1,500mm
Volume:0.00115138m^3
Mass Density:7,850kg/m^3
Mass:9.03831kg
Weight:88.5754N
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C:UsersWilliam BlackDownloadsSolidWorks FEATask 06WaiLinnWin_Task06.SLDPRT
Jan 13 00:44:53 2022
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SolidBody 2(Sb beam – configured 80 X 6(1)[1])
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Beam – Uniform C/S
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Section Standard-weldment profiles/iso/sb beam
Section Area: 0.000767584m^2
Length:2,000mm
Volume:0.00153517m^3
Mass Density:7,850kg/m^3
Mass:12.0511kg
Weight:118.101N
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C:UsersWilliam BlackDownloadsSolidWorks FEATask 06WaiLinnWin_Task06.SLDPRT
Jan 13 00:44:53 2022
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SolidBody 3(Sb beam – configured 80 X 6(1)[3])
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Beam – Uniform C/S
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Section Standard-weldment profiles/iso/sb beam
Section Area: 0.000767584m^2
Length:1,500mm
Volume:0.00115138m^3
Mass Density:7,850kg/m^3
Mass:9.03831kg
Weight:88.5754N
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C:UsersWilliam BlackDownloadsSolidWorks FEATask 06WaiLinnWin_Task06.SLDPRT
Jan 13 00:44:53 2022
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Study name
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Beam
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Analysis type
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Static
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Mesh type
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Beam Mesh
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Solver type
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Direct sparse solver
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Inplane Effect:
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Off
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Soft Spring:
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Off
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Inertial Relief:
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Off
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Incompatible bonding options
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Automatic
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Large displacement
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Off
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Compute free body forces
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On
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Result folder
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SOLIDWORKS document (C:UsersWilliam BlackDownloadsSolidWorks FEATask 06)
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Unit system:
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SI (MKS)
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Length/Displacement
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mm
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Temperature
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Kelvin
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Angular velocity
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Rad/sec
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Pressure/Stress
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N/m^2
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Model Reference
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Properties
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Components
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Name:
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ASTM A36 Steel
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Model type:
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Linear Elastic Isotropic
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Default failure criterion:
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Max von Mises Stress
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Yield strength:
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2.5e+08 N/m^2
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Tensile strength:
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4e+08 N/m^2
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Elastic modulus:
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2e+11 N/m^2
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Poisson's ratio:
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0.26
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Mass density:
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7,850 kg/m^3
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Shear modulus:
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7.93e+10 N/m^2
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SolidBody 1(Sb beam – configured 80 X 6(1)[2])(WaiLinnWin_Task06),
SolidBody 2(Sb beam – configured 80 X 6(1)[1])(WaiLinnWin_Task06),
SolidBody 3(Sb beam – configured 80 X 6(1)[3])(WaiLinnWin_Task06)
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Curve Data:N/A
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Fixture name
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Fixture Image
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Fixture Details
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Fixed-1
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Entities:
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2 Joint(s)
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Type:
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Fixed Geometry
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Load name
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Load Image
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Load Details
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Force-1
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Entities:
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1 plane(s), 1 Point Load(s)
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Reference:
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Top Plane
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Type:
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Apply force
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Values:
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—, —, -7,000 N
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Moments:
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—, —, — N.m
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Force-2
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Entities:
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1 plane(s), 1 Beam (s)
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Reference:
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Top Plane
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Type:
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Apply force
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Values:
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—, —, -5,000 N/m
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Moments:
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—, —, — N·m/m
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Mesh information – Details
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Total Nodes
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211
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Total Elements
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207
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Time to complete mesh(hh;mm;ss):
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00:00:01
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Computer name:
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LIAMMY
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Reaction forces
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Selection set
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Units
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Sum X
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Sum Y
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Sum Z
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Resultant
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Entire Model
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N
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0
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14,500
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2.71051e-20
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14,500
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Reaction Moments
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Selection set
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Units
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Sum X
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Sum Y
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Sum Z
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Resultant
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Entire Model
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N.m
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-9.01827e-13
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6.03828e-13
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16,875
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16,875
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Selection set
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Units
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Sum X
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Sum Y
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Sum Z
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Resultant
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Entire Model
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N
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0
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0
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0
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0
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Free body moments
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Selection set
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Units
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Sum X
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Sum Y
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Sum Z
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Resultant
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Entire Model
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N.m
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0
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0
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0
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0
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Beam Forces
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Beam Name
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Joints
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Axial(N)
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Shear1(N)
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Shear2(N)
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Moment1(N.m)
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Moment2(N.m)
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Torque(N.m)
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Beam-1(Sb beam – configured 80 X 6(1)[2])
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1
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-1.09894e-13
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7,500
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2.62181e-11
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5.89907e-11
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-16,875
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-1.41096e-14
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2
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1.09905e-13
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-7,500
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-2.62181e-11
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-1.96636e-11
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5,625
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1.41103e-14
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Beam-2(Sb beam – configured 80 X 6(1)[1])
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1
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3.95394e-12
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3,500
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1.2537e-11
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6.31749e-12
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-1,750
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4.82e-13
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2
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-3.37995e-11
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3,500
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3.06163e-11
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-1.50552e-11
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1,750
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1.11079e-12
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Beam-3(Sb beam – configured 80 X 6(1)[3])
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1
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-2.88091e-23
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1.46743e-08
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-3.53013e-21
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5.41572e-23
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-8.18268e-09
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-1.37927e-25
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2
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6.09378e-11
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7,500
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3.31869e-11
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2.48902e-11
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-5,625
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4.26866e-13
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Beam Stresses
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Beam Name
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Joints
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Axial(N/m^2)
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Bending Dir1(N/m^2)
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Bending Dir2(N/m^2)
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Torsional (N/m^2)
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Upper bound axial and bending(N/m^2)
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Beam-1(Sb beam – configured 80 X 6(1)[2])
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1
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-1.43169e-10
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2.1264e-05
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8.7035e+08
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-6.33691e-08
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8.7035e+08
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2
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-1.43183e-10
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7.08798e-06
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2.90117e+08
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6.33725e-08
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2.90117e+08
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Beam-2(Sb beam – configured 80 X 6(1)[1])
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1
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5.15115e-09
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2.27722e-06
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9.02585e+07
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2.16476e-06
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9.02585e+07
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2
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4.40336e-08
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5.42685e-06
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9.02585e+07
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4.98881e-06
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9.02585e+07
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Beam-3(Sb beam – configured 80 X 6(1)[3])
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1
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3.75321e-20
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-1.95217e-17
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-0.000422033
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-6.19459e-19
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0.000422033
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2
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7.93891e-08
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8.97198e-06
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2.90117e+08
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1.91714e-06
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2.90117e+08
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Name
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Type
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Min
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Max
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Stress1
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Upper bound axial and bending
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75,474N/m^2
Element: 146
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870,350,208N/m^2
Element: 62
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WaiLinnWin_Task06-Beam-Stress-Stress1
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Name
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Type
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Min
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Max
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Displacement1
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URES: Resultant Displacement
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0.000000mm
Node: 63
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279.457825mm
Node: 147
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WaiLinnWin_Task06-Beam-Displacement-Displacement1
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Name
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Type
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Min
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Max
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Displacement2
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RZ: Rotation in Z Direction
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-0.126926rad
Node: 147
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0.002820rad
Node: 84
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WaiLinnWin_Task06-Beam-Displacement-Displacement2
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Name
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Type
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Min
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Max
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Displacement3
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RX: Rotation in X Direction
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-0.000000rad
Node: 1
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0.000000rad
Node: 104
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WaiLinnWin_Task06-Beam-Displacement-Displacement3
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Name
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Type
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Min
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Max
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Displacement4
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RY: Rotation in Y Direction
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-0.000000rad
Node: 147
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0.000000rad
Node: 83
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WaiLinnWin_Task06-Beam-Displacement-Displacement4
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Name
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Type
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Min
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Max
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Displacement5
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UX: X Displacement
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-0.000000mm
Node: 147
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0.000000mm
Node: 1
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WaiLinnWin_Task06-Beam-Displacement-Displacement5
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Name
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Type
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Min
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Max
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Displacement6
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UY: Y Displacement
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-279.457825mm
Node: 147
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0.000000mm
Node: 63
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WaiLinnWin_Task06-Beam-Displacement-Displacement6
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Name
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Type
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Min
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Max
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Displacement7
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UZ: Z Displacement
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0.000000mm
Node: 63
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0.000000mm
Node: 147
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WaiLinnWin_Task06-Beam-Displacement-Displacement7
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Name
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Type
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Min
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Max
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Displacement8
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RFRES: Resultant reaction force
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0N
Node: 1
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11,000N
Node: 63
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WaiLinnWin_Task06-Beam-Displacement-Displacement8
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Name
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Type
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Min
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Max
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Stress2
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Axial P/A
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-0N/m^2
Element: 4
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0N/m^2
Element: 207
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WaiLinnWin_Task06-Beam-Stress-Stress2
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Name
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Type
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Shear-Moment Plot1
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Shear Force in Dir1
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WaiLinnWin_Task06-Beam-Shear-Moment Plot-Shear-Moment Plot1
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Name
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Type
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Shear-Moment Plot2
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Moment about Dir2
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WaiLinnWin_Task06-Beam-Shear-Moment Plot-Shear-Moment Plot2
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Image-1
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Analyzed with SOLIDWORKS Simulation
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Simulation of WaiLinnWin_Task06
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1
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![]()
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Analyzed with SOLIDWORKS Simulation
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Simulation of WaiLinnWin_Task06
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16
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