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ME 372 Final Project Submitted to: Dr. Jonathan D. Blotter 435Q CTB Provo, UT 84602 Daniel J. Ramos

ME 372 Final Project

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Page 1: ME 372 Final Project

ME 372 Final Project

Submitted to:

Dr. Jonathan D. Blotter

435Q CTB

Provo, UT 84602

Daniel J. Ramos

Page 2: ME 372 Final Project

i

April 19, 2016

435Q CTB

Provo, UT 84602

Dear Dr. Jonathan D. Blotter,

This report is being submitted in order to demonstrate our competency in machine

design as outlined in the scope of ME 372 at BYU. This paper is for the graders of the

assignment, for the professor of the class, and for individuals whom want to see an

example of a design report. The purpose of this report is to demonstrate our ability in

machine design by considering all possible modes of failure, using computer aided

engineering, and using the appropriate failure theory; our machine design project will

focus on the sizing of a truss member system and a bracket design. Our report

concludes with the lightest truss structure and the smallest safe bracket.

We believe that, after reading our report, individuals will see an example of a good

engineering design in order to rate our knowledge in machine design or use it for

educational purposes. We hope that this report may adequately fulfill this purpose.

Thank you for taking the time to read and consider our report.

Sincerely,

Daniel J. Ramos

Page 3: ME 372 Final Project

ii

Table of contents

Letter of Transmittal ............................................................................................ i

List of Figures .................................................................................................... iii

List of Tables ...................................................................................................... iv

Abstract ............................................................................................................... v

Introduction ........................................................................................................1

Methodology and Preliminary Results .............................................................2

Truss Member Sizing ...........................................................................................2

Bracket Design .....................................................................................................5

Analysis ............................................................................................................ 12

Truss Member Analysis ...................................................................................... 12

Bracket Design Analysis ..................................................................................... 16

Conclusion ........................................................................................................ 18

Appendix ........................................................................................................... 19

Page 4: ME 372 Final Project

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List of Figures

Figure 1 ................................................................................................................1

Figure 2 ................................................................................................................5

Figure 3 ................................................................................................................6

Figure 4 ................................................................................................................8

Figure 5 ................................................................................................................9

Figure 6 .............................................................................................................. 10

Figure 7 .............................................................................................................. 13

Figure 8 .............................................................................................................. 14

Figure 9 ............................................................................................................... 15

Figure 10 ............................................................................................................ 17

Figure 11 ............................................................................................................ 18

Page 5: ME 372 Final Project

iv

List of Tables

Table 1 .................................................................................................................3

Table 2 .................................................................................................................3

Table 3 .................................................................................................................7

Table 4 ............................................................................................................... 11

Page 6: ME 372 Final Project

v

Abstract

Design of the mounting brackets and sizing of the members of a specified truss system

with the minimum size safe bracket and the lightest truss that will carry the intended

loads with a safety factor of 2. The process of the design is explained and all possible

modes of failure considered.

Page 7: ME 372 Final Project

1

Introduction

The purpose of this report is to present the design and sizing of a truss system and

corresponding brackets. The process by which the designs came to be is explained in

detail in order to demonstrate that a thorough and complete analysis was performed for

a safe design in all possible modes of failure.

The truss and brackets designed are for a certain type of scaffolding that can be raised

and lowered by cables. The objective of the design is to specify the minimum size safe

bracket and the lightest truss that will carry the intended loads with a safety factor of 2.

Figure 1: Truss system with brackets to be designed and sized.

Page 8: ME 372 Final Project

2

As seen in Figure 1 the mounting system consists of 2 brackets mounted to the top of

the truss. Bolts will go through the 1 inch diameter holes of the brackets. The base of

the truss is a simple compression joint. The truss members are square tubing.

The loading on the truss consists of two 500 lb. point loads, where specified in Figure 1,

and a uniformly distributed load of 7.14 lbs./ft2 over the entire surface area on the top

platform of the truss.

Methodology & Preliminary Results

The design process is divided in two main parts one for the truss and another for the

bracket. Several iterations were made in each case which will be summarized in table

form.

Truss Member Sizing

The first step in the truss design was the material selection. Since the design called for

minimizing the weight we selected a titanium alloy with a high strength to weight ratio:

Ti-6Al-4V, with a specific strength of 1E6 psi/lbs/in3. We found that the Ti alloy (Alpha-

Beta alloy) we selected, if solution treated (900-955C) and aged (540C), had the

following properties shown in the following table (www.matweb.com).

Page 9: ME 372 Final Project

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Table 1: Ti-6Al-4V (Alpha-Beta alloy) properties.

Density 0.160 lb/in³

Tensile Strength 160,000 psi

Modulus of Elasticity (Average of tension & compression) 16.5E6 psi

Poisson’s Ratio 0.33

After the selection of the material we modeled the truss system parametrically in

ANSYS using BEAM188 element type. We tested several different widths and thickness

combinations until we found the best size that had a factor of safety of at least 2 and

was as light as possible. The following table is a summary of our iterations.

Table 2: Truss size iterations.

Max. Deflection (in.)

Width (in.)

Thickness (in.)

Weight (lbs.)

Von Mises Stress (psi)

n (Safety Factor)

1 1.08255 10.00000 0.00200 33.82900 26264.00000 6.09199

2 0.06976 10.00000 0.04000 674.01000 1555.67000 102.84958

3 0.16114 5.00000 0.04000 335.65000 5088.00000 31.44654

4 0.63587 2.50000 0.04000 166.47000 19783.50000 8.08755

5 1.11019 2.00000 0.04000 132.64000 30980.20000 5.16459

6 8.07256 1.00000 0.04000 90.86800 129173.00000 1.23865

7 600.32300 0.25000 0.06250 19.82600 2460000.00000 0.06504

8 51.97350 0.50000 0.06250 46.26000 424722.00000 0.37672

9 5.52847 1.00000 0.06250 99.12800 88623.40000 1.80539

10 2.78437 1.25000 0.06250 125.56000 54888.30000 2.91501

11 5.16384 1.25000 0.03125 64.43300 101526.00000 1.57595

12 3.03803 1.50000 0.03125 77.65000 69935.20000 2.28783

First we chose an arbitrary width and thickness to see what results we would get to give

ourselves a baseline of what to change in order to achieve our design goals. Although

we started with a thickness of 0.002 inches we believed that to be unreasonably thin

and so decided to use a minimum thickness of around 0.04 inches. We decreased the

width of the members to see its effect on the weight and safety factor until we were

Page 10: ME 372 Final Project

4

below the allowable safety factor. Afterwards we increased the thickness rounding up to

the next standard size, 0.0625 inches (1/16 in.), and varied the width again slowly

increasing it until we obtained a safety factor above 2. Throughout our iterations we saw

that the thickness of the members had a greater impact on the weight of the truss than

the width and so decided to decrease the thickness rounding down to the next standard

size, 0.03125 inches (1/32 in.), which was as thin as we were possibly considering for

our design. We then increased the width by standard sizing until obtaining a safety

factor above 2.

Throughout the iterations we also made sure to observe the maximum deflection in the

truss in order to make sure it was rigid enough that it would serve its purpose as a

support structure for a scaffolding.

Our preliminary results were that the members would be 1.5 inches wide and 0.03125

inches (1/32 in.) thick. These dimensions resulted in a safety factor of 2.29, a weight of

77.65 lbs. and, a maximum deflection of 3.03803 inches. We then proceeded to further

analysis discussed later in this report.

Page 11: ME 372 Final Project

5

Figure 2: Preliminary design for members with a width of 1.5 inches and 0.03125 inches thick. The maximum Von Mises stress is shown, 69,935.2 psi.

Bracket design

For the bracket design we used the same Ti alloy because of its light weight and

strength. For the first 9 iterations we used a constant thickness of 1 inch and a diameter

size of 1.5 inches. The use of a 1.5 inch diameter instead of a 1 inch diameter as called

by in the specifications was due to human error while reading the instructions; however,

the information we obtained through these iterations were still useful to us to find the

best shape for the bracket and so are included as part of the design process.

All units shown in psi.

Page 12: ME 372 Final Project

6

Initially we used a simple rectangular bracket with a hole in the center to get an idea of

how the stresses were distributed throughout the part, labeled bracket 1. As seen in

Figure 3 below, the portion of the bracket furthest away from the weld and removed

from the hole area had very little stress within it.

Figure 3: Bracket1 stress distribution.

Since we found that there was very little stress in the before mentioned portion of the

first bracket for the next iterations, up to Bracket6, we tried to distribute the stress more

evenly throughout the bracket. The following table (Table 3) shows the different

iterations for the bracket. Table 3 also includes the x-y plane area of the bracket, the

All units shown in psi.

Page 13: ME 372 Final Project

7

safety factor, and the result of dividing the safety factor by the area (done in order to

compare the relative strength of the bracket compared to its weight).

Table 3: Preliminary bracket iterations.

Area (in2) Von Mises Stress (psi) n (Safety Factor) n/A (1/in2)

Bracket1 10.73300 3574.62000 44.76000 4.17032

Bracket2 10.57700 2905.92000 55.06002 5.20564

Bracket3 7.24700 2704.17000 59.16788 8.16446

Bracket4 6.01000 2849.35000 56.15316 9.34329

Bracket5 4.88800 2778.64000 57.58213 11.78030

Bracket6 4.88400 2857.72000 55.98869 11.46370

Bracket7 3.76200 2893.42000 55.29788 14.69907

Bracket8 3.34500 8114.46000 19.71789 5.89473

Bracket9 3.51500 4042.42000 39.58025 11.26038

When we got to Bracket6 we observed that the portion of the bracket closest to the weld

in the center of the bracket had very little stress compared to the other portions of the

bracket, this can be observed in Figure 4.

Page 14: ME 372 Final Project

8

Figure 4: Bracket6 stress distribution.

Since we observed a lack of a significant amount of stress in the portion mentioned for

Bracket 6 we decided to remove that portion and see what results we would get. So for

Bracket 7 we had an open bracket as shown below in Figure 5. However Bracket7

design was flawed in that there would be friction between the bolt and the truss on the

open section.

All units shown in psi.

Page 15: ME 372 Final Project

9

Figure 5: Bracket7 stress distribution and open bracket design.

In order to avoid friction of the bolt with the truss whilst having an open section we

decided to leave a gap of 0.11 inches for the subsequent iterations. We modeled

Bracket8, Bracket9, and Bracket10 to determine what the best angle between the truss

wall and the bracket top edge would be. We tried an obtuse angle (123° Bracket8), a

right angle (Bracket9), and a slightly acute angle (80° Bracket10). We didn’t want to

have a very acute angle since this would inevitably increase the x-y plane surface area

of the bracket and thus the weight of the bracket. We found that a slight acute angle of

80° was the best angle of the three and given its nominal value easier to manufacture—

All units shown in psi.

Page 16: ME 372 Final Project

10

opposed to 75°, 78°, 81.3°, etc. Below you can observe the differences in Braket8,

Bracket9, and Bracket10 (Figure 6).

Figure 6: Comparison between angles for the bracket. Bracket8 (Top left), with an obtuse angle of 123°; Bracket9 (Top right), with a right angle; and Bracket10 (Bottom), with a slight acute angle of 80°.

We decided to use the geometric shape of Bracket10 for our design. We then

proceeded to find the smallest bracket we could create with our chosen design by

varying the hole diameter and thickness of the bracket. The following table summarizes

our iterations (Table 4).

All units shown in psi.

Page 17: ME 372 Final Project

11

Table 4: Bracket iterations with Bracket10 design.

Max. Deflection (inches)

Width (inches)

Thickness (inches)

Area (in2)

Von Mises Stress (psi)

Volume (in3)

n (Safety Factor)

n/Volume (1/in3)

%Thickness / Max. Deflection

%Width / Max. Deflection

Bracket10 0.00023 1.50 1.00 3.682 3047.14 3.6820 52.51 14.26080 0.02330 0.01553

Bracket10-1

0.00038 0.50 1.50 0.467 18841.80 0.7005 8.49 12.12242 0.02540 0.07620

Bracket10-2

0.00079 0.25 1.50 0.137 57631.70 0.2055 2.78 13.50973 0.05273 0.31640

Bracket10-3

0.00037 1.50 1.00 3.682 4952.75 3.6820 32.31 8.77384 0.03740 0.02493

Bracket10-4

0.00063 1.50 0.50 3.682 10343.10 1.8410 15.47 8.40263 0.12540 0.04180

Bracket10-5

0.00125 1.50 0.25 3.682 13997.80 0.9205 11.43 12.41756 0.49880 0.08313

Bracket10-6

0.00856 1.50 0.10 3.682 33814.00 0.3682 4.73 12.85108 8.56400 0.57093

Bracket10-7

0.00030 1.00 1.00 1.696 7419.89 1.6960 21.56 12.71442 0.03020 0.03020

Bracket10-8

0.00063 0.50 0.50 0.467 26651.10 0.2335 6.00 25.71094 0.12640 0.12640

Bracket10-9

0.00044 0.50 1.00 0.467 23003.30 0.4670 6.96 14.89406 0.04440 0.08880

Bracket10-9-1

0.00045 0.50 1.00 0.467 23246.30 0.4670 6.88 14.73836 0.04500 0.09000

Bracket10-9-2

0.00041 1.00 1.00 1.056 7751.41 1.0560 20.64 19.54679 0.04130 0.04130

Bracket10-9-3

0.00083 1.00 0.50 1.056 14860.00 0.5280 10.77 20.39235 0.16660 0.08330

Bracket10-9-4

0.00052 1.00 0.75 1.056 11377.90 0.7920 14.06 17.75549 0.06880 0.05160

Page 18: ME 372 Final Project

12

Table 4 includes several categories which we took into consideration while finding the

best design for the bracket. We used the safety factor over the volume as a relative

comparison of strength per weight for each iteration. We also have %thickness over

maximum deflection and %inner diameter over maximum deflection; each of these

measurements are relative deflections compared to the thickness of the bracket and the

hole diameter respectively. Since we wanted to have sufficiently stiff brackets we only

considered brackets with relative deflections less than 0.1%. Table 4 also has

highlighted the criteria why each iteration was rejected. Only 4 iterations met all the

criteria (including the 1 inch hole diameter specification): Bracket10-7, Bracket10-9-1,

Bracket10-9-2, Bracket10-9-3, and Bracket10-9-4; out of which Bracket10-9-4 was the

lightest of them all.

Analysis

In this section we analyze possible failure modes for our preliminary designs for the

truss system and the bracket in order to make any necessary modifications, if any.

Truss Member Analysis

We first used theoretical analysis to find the reaction forces under the assumption of a

rigid structure, shown in Figure 7.

Page 19: ME 372 Final Project

13

Figure 7: Reaction forces on the truss system.

Page 20: ME 372 Final Project

14

After finding the reaction forces we found the forces in each member of the truss system

shown in Figure 8 shown below; a table of all the member forces are included in the

Appendix.

Figure 8: Internal member forces of the truss system.

Page 21: ME 372 Final Project

15

From the internal member forces we found that the largest compressive forces felt by

the members were members EI and FJ both of 1,088.60 lbs., neglecting weight or

1,144.07 lbs.with the weight included. We then proceeded to test for buckling of these

members shown below in Figure 9.

Figure 9: Checking for buckling.

Page 22: ME 372 Final Project

16

We first found the allowable critical buckling load and then compared it to the actual

loads of members EI and FJ; we made sure that the members indeed followed the Euler

buckling failure and not the Johnson buckling failure. We found that EI and FJ were

above the allowable buckling load given the safety factor of 2. We then proceeded to

increase the member width up until the next standard size, 1.75 inches, and reevaluate

the allowable buckling load. We found that the allowable buckling load would be

1,196.63 lbs which is less than 1,176.28 lbs., the new member force given the

increased width size. Finally we checked the validity of our ANSYS model by comparing

the reaction forces in the y direction from the theoretical analysis (with the weight

included) and the ANSYS model. We found that there was a difference of 1.6 lbs. which

we attributed to round off error and the size of our elements; we found the ANSYS

model to be fairly accurate.

The best sizing for the truss members that would have the lightest structure and would

be safe with a safety factor of at least 2 is 1.75 inch wide Ti-6Al-4V square tubing with

0.03125 inches (1/32 inches) wall thickness. The weight of the truss structure ended up

being 90.868 lbs.

Bracket Design Analysis

We continued our analysis with the bracket accounting for all possible failure modes

shown below in Figure 10: bolt bearing, bracket bearing, bolt shear, edge shearing,

tensile yielding, bolt bending.

Page 23: ME 372 Final Project

17

Figure 10: Checking different modes of bracket failure: bolt bearing, bracket bearing, bolt shear, edge shearing, tensile yielding, bolt bending.

The bracket was sufficiently strong in all modes of failure. The best design for the

smallest safe bracket is outlined in the following engineering drawing shown in Figure

11.

Page 24: ME 372 Final Project

18

Figure 11: Engineering drawing for smallest safe bracket.

Conclusion

We found that for the truss member sizing the critical failure mode was buckling which

we accounted for in the analysis portion of this report. For the bracket, the stiffness was

the most limiting constraint factor. In conclusion, we found that the best sizing for the

truss members for the lightest structure and the smallest safe bracket given a safety

factor of 2 had a combined weight of 90.99472 lbs.

Page 25: ME 372 Final Project

19

Appendix

ANSYS code

!Truss Sizing

FINISH

/clear

! FINAL PROJECT

!

/CWD,'C:\Users\djramos'

!

WPSTYLE,,,,,,,,0

/PREP7

/UI,BEAM,OFF

ET,1,BEAM188

MPTEMP,,,,,,,,

MPTEMP,1,0

!

!PARAMETERS--------------------------

!

!Sy=160000 psi

!Sy-shear=110000 psi

*SET,E,16500e3

*SET,P,0.33

*SET,d,0.160

*SET,OD,1.75

*SET,t,1/32

!

!Area of distributed load

A=2*OD*20*12+2*OD*(7*12-OD)

!Distributed load in psi

Dload=7.14/144

!Equivalent force

F=Dload*A

!

!# of nodes 69

!

!MATERIAL PROPERTIES------------------

!

MPDATA,EX,1,,E

MPDATA,PRXY,1,,P

MPDATA,DENS,1,,d

!

!KEY POINTS---------------------------

!

K,1,0,0,0,

K,2,10*12,0,0,

K,3,20*12,0,0,

K,4,0,0,7*12,

K,5,10*12,0,7*12,

K,6,20*12,0,7*12,

Page 26: ME 372 Final Project

20

K,7,0,7*12,0,

K,8,10*12,7*12,0,

K,9,20*12,7*12,0,

K,10,0,7*12,7*12,

K,11,10*12,7*12,7*12,

K,12,20*12,7*12,7*12,

!

!Lines-------------------------------

!

LSTR,1,2

LSTR,2,3

LSTR,3,6

LSTR,6,5

LSTR,5,4

LSTR,4,1

LSTR,1,7

LSTR,7,8

LSTR,8,9

LSTR,9,12

LSTR,12,11

LSTR,11,10

LSTR,10,7

LSTR,8,11

LSTR,5,2

LSTR,4,10

LSTR,5,11

LSTR,2,8

LSTR,6,12

LSTR,3,9

LSTR,10,2

LSTR,7,5

LSTR,5,9

LSTR,2,12

!

!CROSS SECTION SPECIFICATION----------

!

SECTYPE, 1, BEAM, HREC, , 0

SECOFFSET, CENT

SECDATA,OD,OD,t,t,t,t,0,0,0,0,0,0

!

!OVERLAP LINES-------------------------

!

FLST,2,2,4,ORDE,2

FITEM,2,21

FITEM,2,-22

LOVLAP,P51X

FLST,2,2,4,ORDE,2

FITEM,2,23

FITEM,2,-24

LOVLAP,P51X

!

!GLUE ALL LINES-------------------------

!

FLST,2,28,4,ORDE,4

Page 27: ME 372 Final Project

21

FITEM,2,1

FITEM,2,-22

FITEM,2,25

FITEM,2,-30

LGLUE,P51X

!

!MESH ALL LINES------------------------

!

!Mesh size

LESIZE,ALL, , ,10, ,1, , ,1,

!

FLST,2,28,4,ORDE,4

FITEM,2,1

FITEM,2,-22

FITEM,2,25

FITEM,2,-30

LMESH,P51X

! (SEE MESHED ELEMENTS)

/SHRINK,0

/ESHAPE,1.0

/EFACET,1

/RATIO,1,1,1

/CFORMAT,32,0

/REPLOT

!

!PLOT----------------------------------

!

GPLOT

/VIEW,1,1,2,3

/ANG,1

/REP,FAST

!

!DISPLACEMENT CONSTRAINTS

!

FLST,2,2,3,ORDE,2

FITEM,2,1

FITEM,2,4

!*

/GO

DK,P51X, , , ,0,UX, , , , , ,

!

FLST,2,2,3,ORDE,2

FITEM,2,7

FITEM,2,10

!*

/GO

DK,P51X, , , ,0,UX,UY,UZ,ROTX,ROTY, ,

!

!APPLIED LOADS

!

!APPLIED LOADS---------------------------

!

!Distributed Load

!

Page 28: ME 372 Final Project

22

FLST,2,69,1,ORDE,3

FITEM,2,61

FITEM,2,71

FITEM,2,-138

!*

/GO

F,P51X,FY,-F/69

!

!Point loads

!

F,node(10*12,7*12,3.5*12),FY,-500

F,node(20*12,7*12,3.5*12),FY,-500

!

!Weight-----------------------------------

!

ACEL,0,1,0,

!

FINISH

!

!SOLVE-------------------------------------

!

/SOL

/STATUS,SOLU

SOLVE

FINISH

!POSTPROCESS--------------------------------

/POST1

!*

!PRRSOL, !Reaction solution

!

!Von Mises Nodal Solution--------------------

/EFACET,1

PLNSOL, S,EQV, 0,1.0

!

/EDGE,1,1,45

/GLINE,1,-1

/REPLOT

!*

_____________________________________________________________________

!Bracket Design

FINISH

/clear

! FINAL PROJECT

!

/CWD,'C:\Users\djramos'

!

!Assign Element type for Cylinder

!

/PREP7

MPTEMP,,,,,,,,

MPTEMP,1,0

ET,1,SOLID185

!Sy=160000 psi

Page 29: ME 372 Final Project

23

!Sy-shear=110000 psi

*SET,E,16500e3

*SET,P,0.33

*SET,d,0.160

*SET,f,0.36

MPDATA,EX,1,,E

MPDATA,PRXY,1,,P

MPDATA,DENS,1,,d

!

FINISH

!Import Bracket------------------------

!

/AUX15

!*

IOPTN,IGES,SMOOTH

IOPTN,MERGE,YES

IOPTN,SOLID,YES

IOPTN,SMALL,YES

IOPTN,GTOLER,FILE

IGESIN,'Bracket10-9-4','igs','J:\ME 372 Mech Sys. Design\Final

Project\Bracket10-9'

APLOT

!*

FINISH

!

/PREP7

!Convert to Volumes----------------------

!

FLST,2,10,5,ORDE,2

FITEM,2,11

FITEM,2,-20

VA,P51X

!

!Create Cylinder------------------------

!

CYLIND,1/2, ,-1,1.75,0,360,

!

!*

!Mesh-------------------------------------

!

FLST,2,2,5,ORDE,2

FITEM,2,19

FITEM,2,-20

AESIZE,P51X,0.05,

FLST,2,1,5,ORDE,1

FITEM,2,14

AESIZE,P51X,0.025,

!

FLST,5,2,6,ORDE,2

FITEM,5,1

FITEM,5,-2

CM,_Y,VOLU

VSEL, , , ,P51X

Page 30: ME 372 Final Project

24

CM,_Y1,VOLU

CHKMSH,'VOLU'

CMSEL,S,_Y

!*

VSWEEP,_Y1

!*

CMDELE,_Y

CMDELE,_Y1

CMDELE,_Y2

!*

!Constrain---------------------------------

!

FLST,2,476,1,ORDE,10

FITEM,2,1273

FITEM,2,-1288

FITEM,2,1291

FITEM,2,1413

FITEM,2,-1428

FITEM,2,1444

FITEM,2,1664

FITEM,2,-1884

FITEM,2,3484

FITEM,2,-3704

/GO

D,P51X, , , , , ,ALL, , , , ,

!

VSEL,S, , , 2

NSEL,ALL

NSLV,S,1

D,node(,,2),UZ

!

!Apply Reactions----------------------------

!

!nodes 1344

*SET,n,1344

!F,P51X,FX,-1159.7/n

!F,P51X,FY,562.12/n

!F,P51X,FZ,-543.39/n

!

FLST,2,1344,1,ORDE,8

FITEM,2,549

FITEM,2,-608

FITEM,2,1157

FITEM,2,-1216

FITEM,2,1445

FITEM,2,-1468

FITEM,2,4433

FITEM,2,-5632

!*

/GO

F,P51X,FX,-1174.5/n

FLST,2,1344,1,ORDE,8

FITEM,2,549

FITEM,2,-608

Page 31: ME 372 Final Project

25

FITEM,2,1157

FITEM,2,-1216

FITEM,2,1445

FITEM,2,-1468

FITEM,2,4433

FITEM,2,-5632

!*

/GO

F,P51X,FY,572.59/n

FLST,2,1344,1,ORDE,8

FITEM,2,549

FITEM,2,-608

FITEM,2,1157

FITEM,2,-1216

FITEM,2,1445

FITEM,2,-1468

FITEM,2,4433

FITEM,2,-5632

!*

/GO

F,P51X,FZ,-550.41/n

!

!Contact Pair---------------------------

!

CM,_NODECM,NODE

CM,_ELEMCM,ELEM

CM,_KPCM,KP

CM,_LINECM,LINE

CM,_AREACM,AREA

CM,_VOLUCM,VOLU

/GSAV,cwz,gsav,,temp

MP,MU,1,.36

MAT,1

MP,EMIS,1,7.88860905221e-031

R,3

REAL,3

ET,2,170

ET,3,174

R,3,,,1.0,0.1,0,

RMORE,,,1.0E20,0.0,1.0,

RMORE,0.0,0,1.0,,1.0,0.5

RMORE,0,1.0,1.0,0.0,,1.0

KEYOPT,3,4,0

KEYOPT,3,5,1

KEYOPT,3,7,0

KEYOPT,3,8,0

KEYOPT,3,9,0

KEYOPT,3,10,2

KEYOPT,3,11,0

KEYOPT,3,12,0

KEYOPT,3,2,0

KEYOPT,2,5,0

! Generate the target surface

ASEL,S,,,14

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26

CM,_TARGET,AREA

TYPE,2

NSLA,S,1

ESLN,S,0

ESLL,U

ESEL,U,ENAME,,188,189

NSLE,A,CT2

ESURF

CMSEL,S,_ELEMCM

! Generate the contact surface

ASEL,S,,,3

ASEL,A,,,4

CM,_CONTACT,AREA

TYPE,3

NSLA,S,1

ESLN,S,0

NSLE,A,CT2 ! CZMESH patch (fsk qt-40109 8/2008)

ESURF

!* Create Companion Pair - Start

R,4

REAL,4

ET,4,170

ET,5,174

R,4,,,1.0,0.1,0,

RMORE,,,1.0E20,0.0,1.0,

RMORE,0.0,0,1.0,,1.0,0.5

RMORE,0,1.0,1.0,0.0,,1.0

KEYOPT,5,4,0

KEYOPT,5,5,1

KEYOPT,5,7,0

KEYOPT,5,8,0

KEYOPT,5,9,0

KEYOPT,5,10,2

KEYOPT,5,11,0

KEYOPT,5,12,0

KEYOPT,5,2,0

KEYOPT,4,1,0

KEYOPT,4,3,0

KEYOPT,4,5,0

TYPE,4

ESEL,S,TYPE,,3

NSLE,S

ESLN,S,0

ESURF

TYPE,5

ESEL,S,TYPE,,2

NSLE,S

ESLN,S,0

ESURF

!* Create Companion Pair - End

ALLSEL

ESEL,ALL

ESEL,S,TYPE,,2

ESEL,A,TYPE,,3

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27

ESEL,R,REAL,,3

/PSYMB,ESYS,1

/PNUM,TYPE,1

/NUM,1

EPLOT

ESEL,ALL

ESEL,S,TYPE,,2

ESEL,A,TYPE,,3

ESEL,R,REAL,,3

ESEL,A,TYPE,,4

ESEL,A,TYPE,,5

CMSEL,A,_NODECM

CMDEL,_NODECM

CMSEL,A,_ELEMCM

CMDEL,_ELEMCM

CMSEL,S,_KPCM

CMDEL,_KPCM

CMSEL,S,_LINECM

CMDEL,_LINECM

CMSEL,S,_AREACM

CMDEL,_AREACM

CMSEL,S,_VOLUCM

CMDEL,_VOLUCM

/GRES,cwz,gsav

CMDEL,_TARGET

CMDEL,_CONTACT

/MREP,EPLOT

!

FINISH

!

!Solve-------------------------------

!

/SOLU

/STATUS,SOLU

SOLVE

FINISH

!

/POST1

!*

/EFACET,1

PLNSOL, S,EQV, 0,1.0

VSEL,S, , , 1

ESLV,S

/replot