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fa
W
2⋅c⋅t
:= fa = 9.5× 108 Pa
RF
Ftu
fa
:= RF= 1.053
Integrated Solution - Mathcad
2nd Step, Intermediate Level Integration
Standard Section Properties
c(a,d) a
d
2
:= −
Reference:C:\home_work\lug_properties.xmcd
a:=20mm Lug Radius
d:=30mm Hole Diameter
t:=20mm Lug Thickness
W:= 190000N Applied Load
Ftu:= 1000MPa Ultimate Tensile Streng
fa
W
2⋅c(a,d)⋅t
:= fa = 9.5× 108 Pa
RF
Ftu
fa
:= RF= 1.053
Lug_properties.xcmd
Integrated Solution - Mathcad
2nd Step, Intermediate Level Integration
Standard Materials Database
Excel
Worksheet
(Locked
Database of
materials
properties)
Scripted
List Box
Material Strength
from Database
a:=20mm Lug Radius
d:=30mm Hole Diameter
t:=20mm Lug Thickness
W:= 190000N Applied Load
Material
300M [Forging]
300M [Bar Stock]
AISI 4340 [180ksi]
35NCD16THQ
Custom 465
15-5 PH [H1025]
7010-T74
7075-T73
7075-T73511 [75<a<100]
:Material Selection
Ftu = 4.55× 108 Pa Ultimate Tensile Streng
fa
W
2⋅c(a,d)⋅t
:= fa = 9.5× 108 Pa
RF
Ftu
fa
:= RF= 0.479
Integrated Solution - Mathcad
3rd step High Level Integration
Currently an on-going development process
Create Link to structural loads (FEA results)
Calculate results for all cases
Summarise worst case, etc.
Load Case Description FX (N) Fy (N) Fz (N)
1 Airborne 0 0 0
2 Spin-Up 53333.33 0 66666.67
3 Spring-Back -53333.3 0 100000
4 Max Vertical 25000 50000 100000
5 Braking 40000 0 50000
6 Turning 0 25000 75000
… ….. … … …
Applied Ground Loads Fx
Fy
Fz
Structural Loads (FEA)
Model
Component Loading
R2
P
R1
P
Load Case Description P (N) R1(N) R2(N)
1 Airborne 0 0 0
2 Spin-Up 50000 100000 100000
3 Spring-Back -40000 -80000 -80000
4 Max Vertical 25000 50000 50000
5 Braking 45000 90000 90000
6 Turning 5000 10000 10000
… ….. … … …
Integrated Solution - Mathcad
3rd step High Level Integration
Basic vector approach, simple starting point
Loads extraction by Excel, worksheet referenced by
Mathcad
Limited flexibility, not a very neat solution!
Preferred option programming or scripting to access
individual array element(s)
Direct access to FEA results files?
R2
P
R1
P
W loads⟨1⟩
:= N Applied Load(s)
Material
300M [Forging]
300M [Bar Stock]
AISI 4340 [180ksi]
35NCD16THQ
Custom 465
15-5 PH [H1025]
7010-T74
7075-T73
7075-T73511 [75<a<100]
:Material Selection
Ftu = 1.942× 109 Pa
fa
W
2⋅c(a,d)⋅t
:= fa
5·10-3
5·108
4·108
2.5·108
4.5·108
5·107
= Pa
RF
Ftu
fa
:=
RF
3.884·1011
3.884
4.855
7.768
4.316
38.84
=
RFmin:=min(RF) RFmin= 3.884
P (N) R1(N) R2(N)
0 0 0
50000 100000 100000
40000 80000 80000
25000 50000 50000
45000 90000 90000
5000 10000 10000
… … …
Loads :=
Excel Data Reference
Result
s
Vector
Vector Input
Summary
Integrated Solution - Mathcad
Problems Encountered
It’s not Microsoft Excel
– Training!!
– Introductory course very beneficial, 1 day only
– Online support effective
Multiple cases
– Programming/Scripting, vectors/array manipulation possible, but limited in
flexibility, options still being tested
Links
– Maintaining across servers/sites
Page format
– Limitations to header and footer format
Future Developments
Drive towards CATIA integrated solutions
CATIA – Design/Manufacturing models already integrated
Partial Engineering Software integration within CATIA
FEA-CATIA (GPS solution, Abaqus for CATIA, MSC Gateways)
Dynamics-CATIA (MSC Sim-Designer)
Fatigue-FEA-CATIA (nCode, MSC Fatigue gateways)
Next Step Mathcad-CATIA Integration?
Future Developments
Mathcad-CATIA Integration
Automatic geometry input to calculation
Automatic model updates (new geometry out)
– CATIA v5 links to Excel worksheets for
　
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