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%).
Simulation of WaiLinnWin_Task06 Date: Thursday, 20 January 2022 Table of Contents |
Description No Data |
Assumptions |
Model Information
Model name: WaiLinnWin_Task06
Current Configuration: Default
Beam Bodies:
Document Name and Reference
Formulation
Properties
Document Path/Date Modified
SolidBody 1(Sb beam – configured 80 X 6(1)[2])
Beam – Uniform C/S
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
C:\Users\William Black\Downloads\SolidWorks FEA\Task 06\WaiLinnWin_Task06.SLDPRT
Jan 13 00:44:53 2022
SolidBody 2(Sb beam – configured 80 X 6(1)[1])
Beam – Uniform C/S
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
C:\Users\William Black\Downloads\SolidWorks FEA\Task 06\WaiLinnWin_Task06.SLDPRT
Jan 13 00:44:53 2022
SolidBody 3(Sb beam – configured 80 X 6(1)[3])
Beam – Uniform C/S
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
C:\Users\William Black\Downloads\SolidWorks FEA\Task 06\WaiLinnWin_Task06.SLDPRT
Jan 13 00:44:53 2022
Study Properties
Study name
Beam
Analysis type
Static
Mesh type
Beam Mesh
Solver type
Direct sparse solver
Inplane Effect:
Off
Soft Spring:
Off
Inertial Relief:
Off
Incompatible bonding options
Automatic
Large displacement
Off
Compute free body forces
On
Result folder
SOLIDWORKS document (C:\Users\William Black\Downloads\SolidWorks FEA\Task 06)
Units
Unit system:
SI (MKS)
Length/Displacement
mm
Temperature
Kelvin
Angular velocity
Rad/sec
Pressure/Stress
N/m^2
Material Properties
Model Reference
Properties
Components
Name:
ASTM A36 Steel
Model type:
Linear Elastic Isotropic
Default failure criterion:
Max von Mises Stress
Yield strength:
2.5e+08 N/m^2
Tensile strength:
4e+08 N/m^2
Elastic modulus:
2e+11 N/m^2
Poisson’s ratio:
0.26
Mass density:
7,850 kg/m^3
Shear modulus:
7.93e+10 N/m^2
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)
Curve Data:N/A
Loads and Fixtures
Fixture name
Fixture Image
Fixture Details
Fixed-1
Entities:
2 Joint(s)
Type:
Fixed Geometry
Load name
Load Image
Load Details
Force-1
Entities:
1 plane(s), 1 Point Load(s)
Reference:
Top Plane
Type:
Apply force
Values:
—, —, -7,000 N
Moments:
—, —, — N.m
Force-2
Entities:
1 plane(s), 1 Beam (s)
Reference:
Top Plane
Type:
Apply force
Values:
—, —, -5,000 N/m
Moments:
—, —, — N·m/m
Connector Definitions
No Data
Contact Information
No Data
Mesh information
Mesh type
Beam Mesh
Mesh information – Details
Total Nodes
211
Total Elements
207
Time to complete mesh(hh;mm;ss):
00:00:01
Computer name:
LIAMMY
Sensor Details
No Data
Resultant Forces
Reaction forces
Selection set
Units
Sum X
Sum Y
Sum Z
Resultant
Entire Model
N
0
14,500
2.71051e-20
14,500
Reaction Moments
Selection set
Units
Sum X
Sum Y
Sum Z
Resultant
Entire Model
N.m
-9.01827e-13
6.03828e-13
16,875
16,875
Free body forces
Selection set
Units
Sum X
Sum Y
Sum Z
Resultant
Entire Model
N
0
0
0
0
Free body moments
Selection set
Units
Sum X
Sum Y
Sum Z
Resultant
Entire Model
N.m
0
0
0
0
Beams
Beam Forces
Beam Name
Joints
Axial(N)
Shear1(N)
Shear2(N)
Moment1(N.m)
Moment2(N.m)
Torque(N.m)
Beam-1(Sb beam – configured 80 X 6(1)[2])
1
-1.09894e-13
7,500
2.62181e-11
5.89907e-11
-16,875
-1.41096e-14
2
1.09905e-13
-7,500
-2.62181e-11
-1.96636e-11
5,625
1.41103e-14
Beam-2(Sb beam – configured 80 X 6(1)[1])
1
3.95394e-12
3,500
1.2537e-11
6.31749e-12
-1,750
4.82e-13
2
-3.37995e-11
3,500
3.06163e-11
-1.50552e-11
1,750
1.11079e-12
Beam-3(Sb beam – configured 80 X 6(1)[3])
1
-2.88091e-23
1.46743e-08
-3.53013e-21
5.41572e-23
-8.18268e-09
-1.37927e-25
2
6.09378e-11
7,500
3.31869e-11
2.48902e-11
-5,625
4.26866e-13
Beam Stresses
Beam Name
Joints
Axial(N/m^2)
Bending Dir1(N/m^2)
Bending Dir2(N/m^2)
Torsional (N/m^2)
Upper bound axial and bending(N/m^2)
Beam-1(Sb beam – configured 80 X 6(1)[2])
1
-1.43169e-10
2.1264e-05
8.7035e+08
-6.33691e-08
8.7035e+08
2
-1.43183e-10
7.08798e-06
2.90117e+08
6.33725e-08
2.90117e+08
Beam-2(Sb beam – configured 80 X 6(1)[1])
1
5.15115e-09
2.27722e-06
9.02585e+07
2.16476e-06
9.02585e+07
2
4.40336e-08
5.42685e-06
9.02585e+07
4.98881e-06
9.02585e+07
Beam-3(Sb beam – configured 80 X 6(1)[3])
1
3.75321e-20
-1.95217e-17
-0.000422033
-6.19459e-19
0.000422033
2
7.93891e-08
8.97198e-06
2.90117e+08
1.91714e-06
2.90117e+08
Study Results
Name
Type
Min
Max
Stress1
Upper bound axial and bending
75,474N/m^2
Element: 146
870,350,208N/m^2
Element: 62
WaiLinnWin_Task06-Beam-Stress-Stress1
Name
Type
Min
Max
Displacement1
URES: Resultant Displacement
0.000000mm
Node: 63
279.457825mm
Node: 147
WaiLinnWin_Task06-Beam-Displacement-Displacement1
Name
Type
Min
Max
Displacement2
RZ: Rotation in Z Direction
-0.126926rad
Node: 147
0.002820rad
Node: 84
WaiLinnWin_Task06-Beam-Displacement-Displacement2
Name
Type
Min
Max
Displacement3
RX: Rotation in X Direction
-0.000000rad
Node: 1
0.000000rad
Node: 104
WaiLinnWin_Task06-Beam-Displacement-Displacement3
Name
Type
Min
Max
Displacement4
RY: Rotation in Y Direction
-0.000000rad
Node: 147
0.000000rad
Node: 83
WaiLinnWin_Task06-Beam-Displacement-Displacement4
Name
Type
Min
Max
Displacement5
UX: X Displacement
-0.000000mm
Node: 147
0.000000mm
Node: 1
WaiLinnWin_Task06-Beam-Displacement-Displacement5
Name
Type
Min
Max
Displacement6
UY: Y Displacement
-279.457825mm
Node: 147
0.000000mm
Node: 63
WaiLinnWin_Task06-Beam-Displacement-Displacement6
Name
Type
Min
Max
Displacement7
UZ: Z Displacement
0.000000mm
Node: 63
0.000000mm
Node: 147
WaiLinnWin_Task06-Beam-Displacement-Displacement7
Name
Type
Min
Max
Displacement8
RFRES: Resultant reaction force
0N
Node: 1
11,000N
Node: 63
WaiLinnWin_Task06-Beam-Displacement-Displacement8
Name
Type
Min
Max
Stress2
Axial P/A
-0N/m^2
Element: 4
0N/m^2
Element: 207
WaiLinnWin_Task06-Beam-Stress-Stress2
Name
Type
Shear Force in Dir1
WaiLinnWin_Task06-Beam-Shear-Moment Plot-Shear-Moment Plot1
Name
Type
Moment about Dir2
WaiLinnWin_Task06-Beam-Shear-Moment Plot-Shear-Moment Plot2
Image-1
Conclusion
Analyzed with SOLIDWORKS Simulation
Simulation of WaiLinnWin_Task06
1
Analyzed with SOLIDWORKS Simulation
Simulation of WaiLinnWin_Task06
16