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FINITE ELEMENT ANALYSIS Modeling & Analysis of A-Frame AKHIL KAPOOR Page 1

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Page 1: Final Project Finite Element Analysis

FINITE ELEMENT ANALYSIS

Modeling & Analysis of A-Frame

AKHIL KAPOOR Page 1

Page 2: Final Project Finite Element Analysis

FINITE ELEMENT ANALYSIS

Modeling & Analysis of A-Frame

Contents1) A Brief History of Computer Aided Engineering……………………………………. 32) Introduction to Finite Element Analysis………………………………………………4

a) A Brief History ……………………………………………………………………. 4b) What is Finite Element Analysis?............................................................................4c) How Does Finite Element Analysis Work?.............................................................5d) What is the importance of Finite Element Analysis?............................................6

3) Some Basics of the Engineering Strength of Material………………………………...7

4) Modeling & Analysis Of A- Frame……………………………………………………..8

a) Objective Of The Analysis On A- Frame………………………………………......9

b) Actually what is A- frame?...............................................................................10

c) Modeling of A-Frame on Solid Works…………………………………………..11

d) How we do modeling & simulation in SOLIDWORKS………………………..12

e) Analyzing of A-Frame on Solid Works…………………………………………....13

f) Material Properties………………………………………………………………..14

g) Load & Fixture……………………………………………………………………14

h) Meshing…………………………………………………………………………….15

i) Results………………………………………………………………………………16

5) Analyzing of A-Frame using Nauticus 3D Beam……………………………………...18

6) Second case Analysing solidworks....…………………………………………….…….23

7) Second case Analysing 3d beam………………………………………………………..28

8) Analysis of Foundation………………………………………………………………....34

9) Analysis of Bracket……………………………………………………………………..38

10) Result Comparison…………………………………………………………………....42

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FINITE ELEMENT ANALYSIS

Modeling & Analysis of A-Frame

A Brief History of Computer Aided Engineering

The classical period of Engineering relied on extensive testing and the development and use of fundamental principles. Galileo, Newton, Da Vinci, Hooke, and Michelangelo all contributed to the body of knowledge on mechanics and materials. Design Engineers were often asked to put their money where their mouth or pencils were. Early railroad bridge engineers often took first ride across a new structure to show confidence in their calculations. When the designer’s life was on the line, the importance of a sound understanding of the tools used was clear.

In the late 1800s Lord John William Strutt Rayleigh, known as Lord Rayleigh, developed a method for predicting the first natural frequency of simple structures. It assumed a deformed shape for a structure and then quantified this shape by minimizing the distributed energy in the structure. Walter Ritz then expanded this into a method now known as Rayleigh-Ritz method, for predicting the stress and displacement behavior of structures. The choice of assumed shape was critical to the accuracy of the results and boundary or interface condition had to be satisfied as well. Unfortunately, the method proved to be too difficult for complex shapes because the number of possible shapes increased exponentially as complexity increased, this predictive method was critical in the development of FEA algorithms in later years.

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Page 4: Final Project Finite Element Analysis

FINITE ELEMENT ANALYSIS

Modeling & Analysis of A-Frame

Introduction to Finite Element Analysis

A Brief History

Finite Element Analysis (FEA) was first developed in 1943 by R. Courant, who utilized the Ritz method of numerical analysis and minimization of variational calculus to obtain approximate solutions to vibration systems. Shortly thereafter, a paper published in 1956 by M. J. Turner, R. W. Clough, H. C. Martin, and L. J. Topp established a broader definition of numerical analysis. The paper centered on the "stiffness and deflection of complex structures".

By the early 70's, FEA was limited to expensive mainframe computers generally owned by the aeronautics, automotive, defense, and nuclear industries. Since the rapid decline in the cost of computers and the phenomenal increase in computing power, FEA has been developed to an incredible precision. Present day supercomputers are now able to produce accurate results for all kinds of parameters.

What is Finite Element Analysis?

FEA consists of a computer model of a material or design that is stressed and analyzed for specific results. It is used in new product design, and existing product refinement. A company is able to verify a proposed design will be able to perform to the client's specifications prior to manufacturing or construction. Modifying an existing product or structure is utilized to qualify the product or structure for a new service condition. In case of structural failure, FEA may be used to help determine the design modifications to meet the new condition.

There are generally two types of analysis that are used in industry: 2-D modeling, and 3-D modeling. While 2-D modeling conserves simplicity and allows the analysis to be run on a relatively normal computer, it tends to yield less accurate results. 3-D modeling, however, produces more accurate results while sacrificing the ability to run on all but the fastest computers effectively. Within each of these modeling schemes, the programmer can insert numerous algorithms (functions) which may make the system behave linearly or non-linearly. Linear systems are far less complex and generally do not take into account plastic deformation. Non-linear systems do account for plastic deformation, and many also are capable of testing a material all the way to fracture.

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FINITE ELEMENT ANALYSIS

Modeling & Analysis of A-Frame

How Does Finite Element Analysis Work?

FEA uses a complex system of points called nodes which make a grid called a mesh (Figure 1). This mesh is programmed to contain the material and structural properties which define how the structure will react to certain loading conditions. Nodes are assigned at a certain density throughout the material depending on the anticipated stress levels of a particular area. Regions which will receive large amounts of stress usually have a higher node density than those which experience little or no stress. Points of interest may consist of: fracture point of previously tested material, fillets, corners, complex detail, and high stress areas. The mesh acts like a spider web in that from each node, there extends a mesh element to each of the adjacent nodes. This web of vectors is what carries the material properties to the object, creating many elements

Figure (1) Meshing of A-Frame

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FINITE ELEMENT ANALYSIS

Modeling & Analysis of A-Frame

What is the importance of Finite Element Analysis?

The awareness about Finite Element Analysis came into existence after The sinking of the Sleipner A platform on 23 Aug 1991.

The loss was caused by a failure in a cell wall, resulting in a serious crack and a leakage that the pumps were not able to cope with the wall failed as a result of a combination of a serious error in the finite element analysis which consequently lead to insufficient anchorage of the reinforcement in a critical zone.

The cell wall failure was traced to a tri cell, a triangular concrete frame placed where the cells meet, as indicated in the diagram below.

The post accident investigation traced the error to inaccurate finite element approximation of the linear elastic model of the tri cell.Due to wrong choice of element type, the shear stresses were underestimated by 47%, leading to insufficient design. In particular, certain concrete walls were not thick enough.More careful finite element analysis, made after the accident, predicted that failure would occur with this design at a depth of 62m, which matches well with the actual occurrence at 65m.

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FINITE ELEMENT ANALYSIS

Modeling & Analysis of A-Frame

Some Basics of the Engineering Strength of Material

Engineering Stress & Strain

Engineering Stress σ is defined as applied load P divided by orginal cross sectional area A0 to which load is applied.

Stress σ = Load/Area P/ A0

Engineering Strain ε is defined as the change in length at some instant, as reference to the original length.

Strain ε = Δl/l

Hooke’s Law σ = E ε

Stress Strain Curve

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FINITE ELEMENT ANALYSIS

Modeling & Analysis of A-Frame

Modeling & Analysis Of A- Frame

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FINITE ELEMENT ANALYSIS

Modeling & Analysis of A-Frame

With

& Nauticus 3D Beam

Objective Of The Analysis On A- Frame

An analysis of an A-Frame is conducted to understand the stress and deflection that is present under product loading. Two load cases are considered to understand the structural integrity of the frame which are as follows.

1) Stress and deflection due to vertical load of 25 tons on the A-Frame being supported on the side as shown in fig.

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Modeling & Analysis of A-Frame

2) Stress and deflection due to different load condition in which the A-Frame adjusted into 35 degree angle being supported on the side as shown in fig.

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Modeling & Analysis of A-Frame

Actually what is A- frame?

A-Frame is commonly used in marine operations in Vessels and offshore ports for lifting heavy loads.So its construction is very typical for the safety of huge vessels and for the work force working on the ports .

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FINITE ELEMENT ANALYSIS

Modeling & Analysis of A-Frame

Modeling of A-Frame on Solid Works

Solidworks is a 3D Mechanical CAD software used for designing complex parts then assembling that complex parts into full model.

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FINITE ELEMENT ANALYSIS

Modeling & Analysis of A-Frame

How we do modeling & simulation in SOLIDWORKS

AKHIL KAPOOR Page 13

PARTS

SUB ASSEMBLY

MAIN ASSEMBLY

SIMULATION

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FINITE ELEMENT ANALYSIS

Modeling & Analysis of A-Frame

Analyzing of A-Frame on Solid Works

A-frame assembly is created using 2-D & 3-D solid works. Solid and plate elements are used to create the model. A-Frame is constructed by assembling different beams (foundation A-frame, vertical beams, horizontal beam and the hook) as shown in Fig1.2. The vertical beams are supported with the help of horizontal beams. Hook is made fixed on the horizontal beam. A-Frame is used as a crane used to lift heavy loads in ships. The application of load is on the hook.

Below figure shows 2D & 3D model of A-Frame on Solid Works and information about model.

Case 1 Stress and deflection due to vertical load of 25 tons on the A-Frame being supported on the side

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FINITE ELEMENT ANALYSIS

Modeling & Analysis of A-Frame

Material Properties

Property Value UnitsElastic modulus 21000 N/mm2

Poisson's ratio 0.28 constantMass density 7800 kg/m3

Tensile strength 480.83 N/mm2

Yield strength 355 N/mm2

Loads & Fixtures

Fixture name

Fixture Image Fixture Details

Fixed-1 Entities: 2 face(s)Type: Fixed Geometry

Resultant ForcesComponents X Y Z Resultant

Reaction force(N) -0.0356445 250000 -0.000488281 250000Reaction Moment(N-m) 0 0 0 0

Load name Load Image Load DetailsForce-1 Entities: 1 face(S)

Reference: Face<1> Type: Apply Force Values: 250000 N

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Modeling & Analysis of A-Frame

Meshing

Mesh type Solid MeshMesher Used: Curvature based meshJacobian points 4 PointsMaximum element size 289.987 mmMinimum element size 57.9974 mmMesh Quality HighTotal Nodes 116319Total Elements 58595Maximum Aspect Ratio 145.4% of elements with Aspect Ratio < 3 11.4% of elements with Aspect Ratio > 10 4.39

Results

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RIGID CONNECTORS

FIXED GEOMETRY

PIN

VERTICAL LOAD (250000 N)

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Modeling & Analysis of A-FrameName Type Min MaxStress1 VON: von Mises Stress 11576.9 N/m^2

Node: 768731.58873e+008 N/m^2Node: 48659

Study_1 Stress

Now the above results of analysis shows the maximum stress on A-Frame due to load 25 ton which is 158872576 N/m 2

Given Yield Strength is 355000000 N/m2

Now Factor of safety can be calculated as Yield Strength/Stressmax

= 355000000/158872576 N/m2

Therefore F.O.S = 2.234 which says our model is Perfect.

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Modeling & Analysis of A-Frame

Displacement

Name Type Min MaxDisplacement1 URES: Resultant Displacement 0 mm

Node: 542.59658 mmNode: 49089

Study 1-Displacement

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Modeling & Analysis of A-Frame

Analyzing of A-Frame using Nauticus 3D Beam

After applying Load of 250000 on centre node deflection can be seen

Beam Information

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Modeling & Analysis of A-Frame

Beam StartNode

EndNode

ElasticLength[mm]

Mass[kg]

Profile

1 1 7 5000 1117 22 3 8 5000 1117 23 4 5 1450 324 24 2 6 1450 324 25 2 11 2750 615 26 7 2 1250 279 27 8 4 1250 279 28 7 9 4590,7 2 39 8 10 4590,7 2 310 11 4 2750 615 2

Nodes Information

Node

No

X[mm]

Y[mm]

Z[mm]

Boundary Conditions

X transl

Y transl

Z transl

X rot Y rot Z rot

1 -2750 0 0 Fixed Fixed Fixed Free Fixed Fixed

2 -2750 0 6250

3 2750 0 0 Fixed Fixed Fixed Free Fixed Fixed

4 2750 0 6250

5 4200 0 6250

6 -4200 0 6250

7 -2750 0 5000

8 2750 0 5000

9 -2750 1950 844 Fixed Fixed Fixed Free Fixed Fixed

10 2750 1950 844 Fixed Fixed Fixed Free Fixed Fixed

11 0 0 6250

Material Information

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Modeling & Analysis of A-Frame

Material Material Name

E[N/mm2]

Density[kg/m3]

Poisson Thermal Coefficient

[mm/mm/C]

Yield Stress

[N/mm2]

Ultimate Strength [N/mm2]

2 S355j2G3 210000 7800,0 0,30 1,1e-005 355 4701 Steel 210000 7800,0 0,30 1,26e-005 235 360

Node Loads in global coordinate system

Node Deflections, Reaction Forces and Moments, Signed values

Node No.

x

[mm]y

[mm]z

[mm]rx

[deg]ry

[deg]Px

[N]Py

[N]Pz

[N]My

[Nmm]Mz

[Nmm]

1 0 0 0 0,002537 0 25304 -0 125000 50721331 2

2 0,011566 -0,27676 -0,12985 0,002537 0,04338 0 0 0 0 0

3 0 0 0 0,002537 0 -25304 -0 125000 -50721331 -2

4 -0,011566 -0,27676 -0,12985 0,002537 -0,04338 0 0 0 0 0

5 -0,011566 -0,27676 0,96807 0,002537 -0,04338 0 0 0 0 0

6 0,011566 -0,27676 0,96807 0,002537 0,04338 0 0 0 0 0

7 -0,5805 -0,2214 -0,10388 0,002537 0,01535 0 0 0 0 0

8 0,5805 -0,2214 -0,10388 0,002537 -0,01535 0 0 0 0 0

9 0 0 0 0,00331 0 0 0 0 10 6

10 0 0 0 0,00331 0 -0 0 0 -10 -6

11 0 -0,27676 -2,4335 0,002537 0 0 0 0 0 0

Beam Stresses

Beam No.

Nx

[N/mm2]Qy

[N/mm2]Qz

[N/mm2]Mx

[N/mm2]My

[N/mm2]Mz

[N/mm2]

1 -4 0 -2 0 17 02 -4 0 2 0 17 03 0 0 0 0 0 04 0 0 0 0 0 0

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Node No Px[N]

Py[N]

Pz[N]

Mx[Nmm]

My[Nmm]

Mz[Nmm]

11 0 0 -250000 0 0 0

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FINITE ELEMENT ANALYSIS

Modeling & Analysis of A-Frame5 -1 0 10 0 53 06 -4 0 -2 0 24 07 -4 0 2 0 24 08 0 -0 0 -0 0 09 0 0 0 0 0 010 -1 0 -10 0 53 0

Combined Element stresses

Beam No. Ny (min)[N/mm2]

Ny (max)[N/mm2]

Nz (min)[N/mm2]

Nz (max)[N/mm2]

1 -21 13 -4 -42 -21 13 -4 -43 0 0 0 04 0 0 0 05 -54 52 -1 -16 -28 20 -4 -47 -28 20 -4 -48 -0 0 -0 09 -0 0 -0 010 -54 52 -1 -1

Effective Stresses

Beam No.

eff

[N/mm2]

Usage x-pos[mm]

y-pos[mm]

z-pos[mm]

Nx [N/mm2]

My

[N/mm2]Mz

[N/mm2]Mx

[N/mm2]Qy

[N/mm2]Qz

[N/mm2]

1 21 0,06 5000 -242,5 -242,5 -4 -16 0 0 0 1

2 21 0,06 5000 -242,5 242,5 -4 -16 0 0 0 -1

3 0 0,00 1450 242,5 -242,5 0 0 0 0 0 0

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Modeling & Analysis of A-Frame4 0 0,00 0 242,5 -242,5 0 0 0 0 0 0

5 54 0,15 2750 242,5 242,5 -1 -51 0 0 0 -7

6 28 0,08 1250 242,5 -242,5 -4 -23 0 0 0 1

7 28 0,08 1250 242,5 242,5 -4 -23 0 0 0 -1

8 0 0,00 0 2 -0,03121 0 0 0 -0 -0 -0

9 0 0,00 0 -2 -0,03121 0 0 0 0 0 0

10 54 0,15 0 242,5 242,5 -1 -51 0 0 0 7

Second case Stress and deflection due to different load condition in which the A-Frame adjusted into 35 degree angle being supported on the side.

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Modeling & Analysis of A-Frame

Study Properties

Study name Study 2Analysis type StaticMesh type Solid MeshThermal Effect: OnThermal option Include temperature loadsZero strain temperature 298 Kelvin

Loads & Fixtures

Fixture name Fixture Image Fixture Details

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Modeling & Analysis of A-FrameFixed-1 Entities: 2 face(s)

Type: Fixed Geometry

Resultant ForcesComponents X Y Z Resultant

Reaction force(N) 0.00537109 250000 0.00793457 250000Reaction Moment(N-m) 0 0 0 0

Load name Load Image Load DetailsForce-1 Entities: 1 face(s)

Reference: Face< 1 >Type: Apply force

Values: ---, ---, 250000 N

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Modeling & Analysis of A-Frame

Meshing

Mesh type Solid MeshMesher Used: Curvature based meshJacobian points 4 PointsMaximum element size 235.921 mmMinimum element size 47.1843 mmMesh Quality HighTotal Nodes 146201Total elements 73669Maximum Aspect Ratio 59.474% of elements with Aspect Ratio < 3 18.2% of elements with Aspect Ratio > 10 3.5

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Pin connectorsRigid connectors

Vertical load 250000

Fixed geomerty

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Modeling & Analysis of A-Frame

Results

Name Type Min MaxStress1 VON: von Mises Stress 37328.4 N/m^2

Node: 447782.05345e+008 N/m^2Node: 66244

Study_2Stress

Now the above results of analysis shows the maximum stress on A-Frame due to load 25 ton which is 205344880 N/m 2

Given Yield Strength is 355000000 N/m2

Now Factor of safety can be calculated as Yield Strength/Stressmax

= 355000000/158872576 N/m2

Therefore F.O.S = 1.728 which says our model is Perfect.

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Modeling & Analysis of A-Frame

Displacement

Name Type Min MaxDisplacement1 URES: Resultant Displacement 0 mm

Node: 1387132.77015 mmNode: 85958

Study_2-Study 1-Displacement-Displacement1

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FINITE ELEMENT ANALYSIS

Modeling & Analysis of A-Frame

Analysis of A-Frame using Nauticus 3D Beam

After applying Load of 250000 on centre node deflection can be seen

Beam Information

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FINITE ELEMENT ANALYSIS

Modeling & Analysis of A-Frame

Beam StartNode

EndNode

ElasticLength[mm]

Mass[kg]

Profile

1 1 11 5404,5 1208 32 3 8 5404,5 1208 33 4 5 1450 324 34 2 6 1450 324 35 11 7 6764,3 265 26 8 9 6764,3 265 27 2 10 2750 615 38 10 4 2750 615 39 8 4 755,41 169 310 11 2 755,41 169 3

Node Information

Node No

X[mm]

Y[mm]

Z[mm]

Boundary Conditions

X transl Y transl Z transl X rot Y rot Z rot

1 -2750 0 0 Fixed Fixed Fixed Fixed Fixed Fixed

2 -2750 -5046 3533

3 2750 0 0 Fixed Fixed Fixed Fixed Fixed Fixed

4 2750 -5046 3533

5 4200 -5046 3533

6 -4200 -5046 3533

7 -2750 1950 844 Fixed Fixed Fixed Fixed Fixed Fixed

8 2750 -4427 3100

9 2750 1950 844 Fixed Fixed Fixed Fixed Fixed Fixed

10 0 -5046 3533

11 -2750 -4427 3100

Profiles

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Modeling & Analysis of A-Frame

Profile Profile Name

Type Material Shear factor fy

Shear factor fz

Profile parameters

2 Circular Tube

10: Circular Tube

2 S355j2G3 1,00 1,00 Outer Diameter=80 [mm], Thickness=40 [mm]

3 Hollow box with

constant Thickness and corner

radius

12: Hollow box with constant

Thickness and corner radius

2 S355j2G3 1,00 1,00 Box profile Height=500 [mm], Box profile Width=500 [mm],

Plate Thickness=15 [mm], Outside Corner radius=25 [mm]

Node Loads

Node No

Px[N]

Py[N]

Pz[N]

Mx[Nmm]

My[Nmm]

Mz[Nmm]

10 0 0 -250000 0 0 0

Forces, Moments And Deflections, Signed Values

Beam No.

Nx

[N]Qy

[N]Qz

[N]Mx

[Nmm]My

[Nmm]Mz

[Nmm]

[mm]x

[mm]y

[mm]z

[mm]

1 -377680 -14785 -17444 -29357178 171411737 -50736116 8,8369 -0,38135 -4,7854 -7,4253

2 -377680 14785 -17444 29357178 171411737 50736116 8,8369 0,38135 -4,7854 -7,4253

3 0 0 0 0 0 0 11,139 -0,006758 -6,1001 -9,3204

4 0 0 0 0 0 0 11,139 0,006758 -6,1001 -9,3204

5 317553 0 18 -56307 240518 -4699 8,8369 -0,23637 -4,7854 -7,4253

6 317553 -0 18 56307 240518 4699 8,8369 0,23637 -4,7854 -7,4253

7 -14785 0 125000 -0 -284146595 -33850113 14,066 0,006758 -6,6469 -12,397

8 -14785 0 -125000 -0 -284146595 -33850113 14,066 -0,006758 -6,6469 -12,397

9 -71649 14785 -102427 29437388 77375000 61901827 11,139 0,23637 -6,1001 -9,3204

10 -71649 -14785 -102427 -29437388 77375000 -61901827 11,139 -0,23637 -6,1001 -9,3204

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Modeling & Analysis of A-Frame

Node Deflections, Reaction Forces And Moments, Signed Values

Node No.

x

[mm]y

[mm]z

[mm]rx

[deg]ry

[deg]rz

[deg]Px

[N]Py

[N]Pz

[N]Mx

[Nmm]My

[Nmm]Mz

[Nmm]

1 0 0 0 0 0 0 14785 -299365 230926 -17141173

7

-7317136

40731328

2 0,006758

-6,1001 -9,3204 0,1716 0,07558 -0,02279 0 0 0 0 0 0

3 0 0 0 0 0 0 -14785 -299365 230926 -17141173

7

7317136 -407313

28

4 -0,00675

8

-6,1001 -9,3204 0,1716 -0,07558 0,02279 0 0 0 0 0 0

5 -0,00675

8

-5,5234 -7,4077 0,1716 -0,07558 0,02279 0 0 0 0 0 0

6 0,006758

-5,5234 -7,4077 0,1716 0,07558 -0,02279 0 0 0 0 0 0

7 0 0 0 0 0 0 0 299365 -105926 -117727 -51516 23209

8 0,23637 -4,7854 -7,4253 0,1644 -0,06206 0,02604 0 0 0 0 0 0

9 0 0 0 0 0 0 -0 299365 -105926 -117727 51516 -23209

10 0 -6,6469 -12,397 0,1716 0 0 0 0 0 0 0 0

11 -0,23637 -4,7854 -7,4253 0,1644 0,06206 -0,02604 0 0 0 0 0 0

Beam Stresses

Beam No.

Nx

[N/mm2]Qy

[N/mm2]Qz

[N/mm2]Mx

[N/mm2]My

[N/mm2]Mz

[N/mm2]

1 -13 -1 -1 -4 38 112 -13 1 -1 4 38 113 0 0 0 0 0 04 0 0 0 0 0 05 63 0 0 -1 5 06 63 -0 0 1 5 07 -1 0 10 0 64 88 -1 0 -10 0 64 89 -3 1 -8 4 17 1410 -3 -1 -8 -4 17 14

Combined Element Stresses

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Modeling & Analysis of A-Frame

Beam No.

Ny (min)[N/mm2]

Ny (max)[N/mm2]

Nz (min)[N/mm2]

Nz (max)[N/mm2]

1 -52 25 -25 -22 -52 25 -25 -23 0 0 0 04 0 0 0 05 58 68 63 636 58 68 63 637 -64 63 -8 78 -64 63 -8 79 -20 15 -16 1110 -20 15 -16 11

Effective Stress

Beam No.

eff

[N/mm2]

Usage

x-pos[mm]

y-pos[mm]

z-pos[mm]

Nx [N/mm

2]

My

[N/mm2]

Mz

[N/mm2]

Mx

[N/mm2]

Qy

[N/mm2]

Qz

[N/mm2]

1 57 0,16 0 -242,5 -242,5 -13 -37 -6 -0 1 1

2 57 0,16 0 242,5 -242,5 -13 -37 -6 0 1 1

3 0 0,00 1450 -242,5 -242,5 0 0 0 0 0 0

4 0 0,00 1450 -242,5 -242,5 0 0 0 0 0 0

5 66 0,18 0 -0,3068 20 63 2 0 -0 -0 0

6 66 0,18 0 0,3068 20 63 2 0 0 0 -0

7 71 0,20 2750 242,5 242,5 -1 -62 -7 0 0 -7

8 71 0,20 0 242,5 242,5 -1 -62 -7 0 0 7

9 31 0,09 0 -242,5 -242,5 -3 -17 -11 0 -1 5

10 31 0,09 0 242,5 -242,5 -3 -17 -11 -0 -1 5

Analysis of Foundation

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Modeling & Analysis of A-Frame

Model name: FOUNDATION

Current Configuration: Default

Solid BodiesDocument Name and

ReferenceTreated As Volumetric Properties

Boss-Extrude14 Solid Body Mass:928.21 lbVolume:3293.94 in^3

Density:0.281793 lb/in^3Weight:927.581 lbf

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FINITE ELEMENT ANALYSIS

Modeling & Analysis of A-Frame

Study PropertiesStudy name Study 1Analysis type StaticMesh type Solid MeshThermal Effect: OnThermal option Include temperature loadsZero strain temperature 298 Kelvin

Loads & Fixture

Fixture name Fixture Image Fixture DetailsFixed-1 Entities: 1 face(s)

Type: Fixed Geometry

Resultant ForcesComponents X Y Z Resultant

Reaction force(N) 1.43751 300000 0.170727 300000Reaction Moment(N-m) 0 0 0 0

Load name Load Image Load DetailsForce-1 Entities: 2 face(s)

Reference: Face< 1 >Type: Apply force

Values: ---, ---, 150000 N

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Page 36: Final Project Finite Element Analysis

FINITE ELEMENT ANALYSIS

Modeling & Analysis of A-Frame

Mesh Information

Results

Name Type Min MaxStress1 VON: von Mises Stress 13.3897 N/m^2

Node: 76583.36384e+007 N/m^2Node: 8323

Assem1-Study 1-Stress-Stress1

AKHIL KAPOOR Page 36

Mesh type Solid MeshMesher Used: Curvature based meshJacobian points 4 PointsMaximum element size 73.8217 mmMinimum element size 14.7643 mmMesh Quality HighTotal Nodes 13577Total Elements 6667Maximum Aspect Ratio 22.107% of elements with Aspect Ratio < 3 16.6

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FINITE ELEMENT ANALYSIS

Modeling & Analysis of A-FrameName Type Min MaxDisplacement1 URES: Resultant Displacement 0 mm

Node: 540.0496353 mmNode: 2874

Assem1-Study 1-Displacement-Displacement1

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Page 38: Final Project Finite Element Analysis

FINITE ELEMENT ANALYSIS

Modeling & Analysis of A-Frame

Analysis of Bracket

Model name: A-Frame Bracket Block

Current Configuration: Default

Solid BodiesDocument Name and Reference Treated As Volumetric Properties

Split Line1 Solid Body Mass:175.226 lbVolume:621.825 in^3

Density:0.281793 lb/in^3Weight:175.107 lbf

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Page 39: Final Project Finite Element Analysis

FINITE ELEMENT ANALYSIS

Modeling & Analysis of A-Frame

Study Properties

Study name BracketAnalysis type StaticMesh type Solid MeshThermal Effect: OnThermal option Include temperature loadsZero strain temperature 298 Kelvin

Load & Fixtures

Fixture name Fixture Image Fixture DetailsFixed-1 Entities: 1 face(s)

Type: Fixed Geometry

Components X Y Z ResultantReaction force(N) -1.12795 249998 -0.366346 249998

Reaction Moment(N-m) 0 0 0 0

Resultant Forces

Load name Load Image Load DetailsForce-1 Entities: 1 face(s)

Reference: Face< 1 >Type: Apply force

Values: ---, ---, 250000 N

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Page 40: Final Project Finite Element Analysis

FINITE ELEMENT ANALYSIS

Modeling & Analysis of A-Frame

Mesh Information

Mesh type Solid MeshMesher Used: Curvature based meshJacobian points 4 PointsMaximum element size 13.0099 mmMinimum element size 4.33659 mmMesh Quality HighTotal Nodes 76706Total Elements 49221Maximum Aspect Ratio 4.5885% of elements with Aspect Ratio < 3 99.6% of elements with Aspect Ratio > 10 0% of distorted elements(Jacobian) 0

Results

Name Type Min MaxStress1 VON: von Mises Stress 2251.7 N/m^2

Node: 155631.091e+008 N/m^2Node: 11021

A-Frame Bracket Block-Study 2-Stress-Stress1

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Page 41: Final Project Finite Element Analysis

FINITE ELEMENT ANALYSIS

Modeling & Analysis of A-Frame

Displacement

Name Type Min MaxDisplacement1 URES: Resultant Displacement 0 mm

Node: 460.0664566 mmNode: 23294

A-Frame Bracket Block-Study 2-Displacement-Displacement1

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Page 42: Final Project Finite Element Analysis

FINITE ELEMENT ANALYSIS

Modeling & Analysis of A-Frame

Result Comparisons Of Displacement

AKHIL KAPOOR Page 42

Displac

emen

t

Solid

work 90 deg

3D Beam 90 deg

Solid

work 35 deg

3D Beam 35 deg

02468

101214

Displacement

Displacement