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IJRET: International Journal of Research in Engineering and Technology eISSN: 2319-1163 | pISSN: 2321-7308
__________________________________________________________________________________________
Volume: 03 Special Issue: 03 | May-2014 | NCRIET-2014, Available @ http://www.ijret.org 818
STRESS ANALYSIS AND FATIGUE LIFE PREDICTION OF WING-
FUSELAGE LUG JOINT ATTACHMENT BRACKET OF A TRANSPORT
AIRCRAFT
Sriranga B.k1
, Kumar .R2
1
M.Tech Scholar, Dept. Of Mech. Engg., M.S. Ramaiah Institute of Technology, Bangalore
2
Assistant Professor, Dept. Of Mech. Engg M.S. Ramaiah Institute of Technology, Bangalore
Abstract
Civil transport aircraft is used for ferrying passengers from one place to another. Aircraft is a highly complex flying structure.
Generally transport aircraft undergoes nominal maneuring flights. During the flight when the maximum lift is generated, the wings of
the aircraft will undergo highest bending moment. The bending moment will be maximum at the root of the wing which caused highest
stress at this location. Wings are attached to the fuselage structure through wing-fuselage attachment brackets. The bending moment
and shear loads from the wing are transferred to the fuselage through the attachment joints. In this project bending load transfer joint
is considered for the analysis. First one needs to ensure the static load carrying capability of the wing-fuselage attachment bracket.
Stress analysis will be carried out for the given geometry of the wing-fuselage attachment bracket. Finite element method is used for
the stress analysis. In the current project, an attempt will be made to predict the fatigue life of wing-fuselage attachment bracket in a
transport airframe. In a metallic structure fatigue manifests itself in the form of a crack which propagates. Fatigue cracks will appear
at the location of high tensile stress locations. These locations are invariably of high stress concentration. Fatigue life calculation will
be carried out for typical service loading condition using constant amplitude S-N data for various stress ratios and local stress history
at stress concentration. In this paper for modeling CATIA V5 software is used and for analysis tool MSC/ PATRAN and MSC/
NASTRAN 2010.
Keywords: Transport aircraft, Lift load, Bending moment, Wing-fuselage attachment, stress concentration, Fatigue-life,
S-N data, Stress ratio.
----------------------------------------------------------------------***------------------------------------------------------------------------
1. INTRODUCTION
1.1. Introduction to Lug Attachment Joints
Lugs are the primary structural elements in airframe structure
that are widely used in connecting different components of the
airframe. For ex. aircraft engine-pylon support fittings, wing
fuselage attachment, and landing gear links are some of the
typical applications where attachment lugs of various
configurations can be found. [1]
The catastrophic failure is occurring may lead to lug joint
bracket of the aircraft structure. Therefore, Finite element
analysis (static) and experimental (numerical) data helps the
designer to life of the structure from catastrophic failure.
Aircraft lug joint bracket is most fracture critical components
in aircraft wing-fuselage structure, and the consequences of
structural lug failure can be very severe (disastrous) (it is so
severe (disastrous) that quite a few times the fuselage and
wings of an aircraft gets separated). Therefore, it is important
to establish design criteria and analysis methods to ensure the
damage tolerance of aircraft attachment lugs. [4]
Advantages of lugs are as follows:
1) A lug has a simple geometry with a well defined load
transmission compared to bolted and riveted joints. In the
latter types of joints, load transmission occurs partly by
frictional forces between the plates which are clamped by the
fasteners.
2) Lugs occur at various locations in an aircraft structure,
either for easy assembling of major components, or for the
possibility of rotation (e.g. landing gears, control rods, for
joining wing and fuselage). In such cases crack in a lug can
lead Fail-Safe problems, and information of crack growth
behavior is important.
2. GEOMETRICAL CONFIGURATION
Fig a
IJRET: International Journal of Research in Engineering and Technology eISSN: 2319-1163 | pISSN: 2321-7308
__________________________________________________________________________________________
Volume: 03 Special Issue: 03 | May-2014 | NCRIET-2014, Available @ http://www.ijret.org 819
Fig b
Fig c
Fig.2.1 a, b, c, shows three views of wing fuselage lug Joint
bracket.
Fig.2.2: Isometric view of the lug joint bracket
The geometric dimensions of the lug attachment bracket are
shown in the figure below. Three views of wing fuselage lug
attachment bracket are shown in the Figure 2.1. A three
dimensional view of the lug attachment bracket is shown in
the figure 2.2.
3. MATERIAL SPECIFICATION
 Density (weight)
 Stiffness (young’s modulus)
 Strength (ultimate and yield strengths)
Durability (fatigue)
 Damage tolerance (fracture toughness and crack
growth)
 Corrosion
Seldom is a single material able to deliver all desired
properties in all components of the aircraft structure. A
combination of various materials is often necessary.
3.1 Alloy Steel, Heat Treated AISI-4340
The material considered for the lug joint bracket of the
structure is steel alloy AISI4340.
The following properties
1. Young’s Modulus, E = 2.1E5N/mm2
2. Density = 7800 kg/mm3
3. Poison's Ratio, μ = 0.3
4. Yield Strength, бy = 1014.3N/mm2
.
5. Ultimate Strength, бu = 1035N/mm2
3.2 Aluminum Alloy – 2024-T351
The material considered for the I section wing spar and rivets
joint of the wing structure is aluminum alloy-2024T351.
1. Density = 2800kg/mm3
2. Young’s Modulus, E = 70000N/mm2
3. Poison's Ratio, μ = 0.3
4. Yield Strength, бy = 378N/mm2
.
5. Ultimate Strength, бu = 485N/mm2
4. LOADS ON THE WING FUSELAGE LUG
ATTACHMENT BRACKET
The aircraft wing is carried out bending moment by the spars
in the wing structure. The maximum bending moment occurs
at the root of the spar where wing and fuselage components
will be attached to each other. The load calculation for the
wing fuselage lug attachment bracket is described in the next
section.
4.1 Load calculation for the wing fuselage lug joint
Bracket.
1) Aircraft category=medium size of fighter aircraft
2) Total weight of the aircraft=6500kg=63765 N
3) Load factor considered in design=3g.
4) Design limit load on the structure=3*63765=1.9129*E5N
5) Design ultimate load=1.9129*E5*1.5=2.8694*E5N
7) Distribution of lift load on fuselage and wing= 20% and
80%.
8) Total Load acting on the
Wings=2.8694*E5N*0.8=229.554*E3N
9) Load acting on the each Wing=
(229.554*E3)/2=114.777*E3 N
10) Number of spar in the wing=3
IJRET: International Journal of Research in Engineering and Technology eISSN: 2319-1163 | pISSN: 2321-7308
__________________________________________________________________________________________
Volume: 03 Special Issue: 03 | May-2014 | NCRIET-2014, Available @ http://www.ijret.org 820
11) Load sharing by spars is a) spar 1=15%
b) Spar 2=40%
c) Spar 3=45%
12) The wing fuselage attachment considered for the current
analysis is at spar. Therefore, load acting on the spare
3=114.777*E3 *0.15=17.216*E3 N.
Total bending momentum acting at the root of the beam =
17.216*E3 N *750mm=12.912*E6 N/mm2
To simulate the equivalent bending moment by applying the
load at a distance of 480mm which is free end of the beam
considered in the analysis is=(12.912*E6
N/mm2))/480=26.9*E3 N.
5. FINITE ELEMENT MODEL OF THE WING
FUSELAGE LUG JOINT HOLE (ROOT)
BRACKET
A finite element model is the complete idealization of the
entire structural problem including the node location, the
element, physical and material properties, loads and boundary
conditions.
Fig.5.1 Finite element model of the wing fuselage Lug joint
bracket
Fig.5.2 The 2-D mesh display in 3-D form to visualize the
thickness of the wing fuselage lug joint model.
5.1 The different structural members of the wing
fuselage Lug joint bracket are
 Lug joint (Root section).
 I-spar (Top and bottom flanges section).
 Top and bottom flanges of the lug joint bracket.
 Riveted holes.
The corresponding mesh generated for each of the above
mentioned members are shown in the figure below.
Fig.5.3 Finite Element Model of the Lug hole (Root section).
Fig.5.4 Finite Element Model of the I section Spar in wing
fuselage.
Fig.5.5 Finite Element Model of the different Thickness of the
Lug Plate.
Fig.5.6 FEA Model of the Rivets jointed in the I-spar & lug
plate
6. THE LOADS AND BOUNDARY CONDITIONS
OF THE LUG JOINT IN WING FUSELAGE
STRUCTURE.
The loads and boundary conditions along with the finite
element model are shown in the figure 6.1. A load 26.9E3 N
of is applied at one end of the I section spar beam. This load
will essentially create the required bending moment at the root
section.
IJRET: International Journal of Research in Engineering and Technology eISSN: 2319-1163 | pISSN: 2321-7308
__________________________________________________________________________________________
Volume: 03 Special Issue: 03 | May-2014 | NCRIET-2014, Available @ http://www.ijret.org 821
Fig.6.1 Load and Boundary conditions applied to the wing
Fuselage Lug joint bracket.
7. THE FINITE ELEMENTS OF THE
MODELLING AND STATIC STRESS ANALYSIS
IN WING FUSELAGE LUG JOINT BRACKET.
The stress values at the root section of the lug hole and the
displacement contours occurring are shown in the figures 7.1.
A maximum stress of 919N/mm2 is observed at the midpoint
of the root section. The maximum stress value obtained from
the analysis is used as the input for the fatigue life prediction
calculations.
Fig 7.1 Figure Showing Maximum Stresses of Wing Fuselage
Lug joint Bracket.
Table: 7.1 The Convergence criteria of the lug joint bracket
Fig.7.2 Max Stress(N/mm2) V/S No. Elements
Table 7.2: Several Iteration of Using Max Stress and Min
Stress with loads
load(N) σ(N/mm2)
26900.86 919
46900.86 1602.22
66900.86 2285.45
86900.86 2968.68
106900.9 3651.92
8. RESULTS AND DISCUSSIONS
Fig 8.1 Max Stress in I-Sectional Spar Z1=3.13*E2N/mm2
NO. Of iterations σmax (N/mm2)
0 0
1 390.7
2 546.4
3 918.51
4 919
5 919
IJRET: International Journal of Research in Engineering and Technology eISSN: 2319-1163 | pISSN: 2321-7308
__________________________________________________________________________________________
Volume: 03 Special Issue: 03 | May-2014 | NCRIET-2014, Available @ http://www.ijret.org 822
Fig.8.2 Max Stress I-Sectional Spar Z2=2.9* E2N/mm2
Fig.8.3 Displacement Contour of wing fuselage Lug joint
Bracket. (2.64mm)
9. CONCLUSIONS
 Damage tolerance design philosophy is generally
used in the aircraft structural design to reduce the
weight of the structure.
 Stress analysis of the wing fuselage lug attachment
bracket is carried out and maximum tensile stress is
identified at one of the lug-holes.
 FEM approach is followed for the stress analysis of
the wing fuselage lug attachment bracket.
 Maximum tensile stress of 919 N/mm2
is observed in
the lug.
 Several iterations are carried out to obtain a mesh
independent value for the maximum stress.
 A fatigue crack normally initiates from the location
maximum tensile stress in the structure.
10. SCOPE FOR FUTURE WORK
 Fatigue crack growth analysis can be carried out on
the wing fuselage lug attachment bracket in the
bottom skin of the wing.
 Damage tolerance evaluation for the lug can be
carried out for given load spectrum.
 A structural testing of the wing fuselage lug
attachment bracket can be carried out for the
complete validation of all theoretical calculations.
 Introduce an anti-corrosion layer for lugs and pin
surface.
 Introduce an intermediate sleeve to reduce the local
stress concentration in the wing lug
REFERENCES
[1]. Stress and fatigue analysis of modified wing-fuselage
connector for Agricultural aircrafts, Lujan witek, P 773-778,
Volume: 43, Issue 3, Journal of Aircraft (2006).
[2]. Failure analysis of wing-fuselage connector of an
agricultural aircrafts, Lujan witek, P 572-581, Volume 13,
Issue 4, Engineering Failure Analysis (2006).
[3]. Damage tolerance assessment of aircraft attachment lugs .
T.R. Brussat, K. Kathiresan and J.L. Rudd, Lockheed-
California Company, Burbank, CA 91520, U.S.A., AT&T Bell
Laboratories, Marietta GA 30071, U.S.A., AFWAL/FIBEC,
Wright-Patterson Air Force Base, OH 45433, U.S.A.
[4]. Stress intensity factors for cracks at attachment lugs. R.
Rigby and M. H. Aliabadi, British Aerospace, Filton, Bristol
BS99 7AR, U.K., Wessex Institute of Technology, Ashurst
Lodge, Ashurst, Southampton S040 7AA, U.K.
[5]. Failure in lug joints and plates with holes . J. Vogwell and
J. M. Minguez School of Mechanical Engineering, University
of Bath, Bath BA2 7AY, U.K., Facultad de Ciencias,
Universidad Del Pais Vasco, Bilbao, Spain.
[6]. Jaap Schijve, “Fatigue damage in aircraft structures, not
wanted, but tolerated?” International journal of fatigue,
Volume 31, Issue 6, June 2009, Pages 998-1011

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Stress analysis and fatigue life prediction of wing fuselage lug joint attachment bracket of a transport aircraft

  • 1. IJRET: International Journal of Research in Engineering and Technology eISSN: 2319-1163 | pISSN: 2321-7308 __________________________________________________________________________________________ Volume: 03 Special Issue: 03 | May-2014 | NCRIET-2014, Available @ http://www.ijret.org 818 STRESS ANALYSIS AND FATIGUE LIFE PREDICTION OF WING- FUSELAGE LUG JOINT ATTACHMENT BRACKET OF A TRANSPORT AIRCRAFT Sriranga B.k1 , Kumar .R2 1 M.Tech Scholar, Dept. Of Mech. Engg., M.S. Ramaiah Institute of Technology, Bangalore 2 Assistant Professor, Dept. Of Mech. Engg M.S. Ramaiah Institute of Technology, Bangalore Abstract Civil transport aircraft is used for ferrying passengers from one place to another. Aircraft is a highly complex flying structure. Generally transport aircraft undergoes nominal maneuring flights. During the flight when the maximum lift is generated, the wings of the aircraft will undergo highest bending moment. The bending moment will be maximum at the root of the wing which caused highest stress at this location. Wings are attached to the fuselage structure through wing-fuselage attachment brackets. The bending moment and shear loads from the wing are transferred to the fuselage through the attachment joints. In this project bending load transfer joint is considered for the analysis. First one needs to ensure the static load carrying capability of the wing-fuselage attachment bracket. Stress analysis will be carried out for the given geometry of the wing-fuselage attachment bracket. Finite element method is used for the stress analysis. In the current project, an attempt will be made to predict the fatigue life of wing-fuselage attachment bracket in a transport airframe. In a metallic structure fatigue manifests itself in the form of a crack which propagates. Fatigue cracks will appear at the location of high tensile stress locations. These locations are invariably of high stress concentration. Fatigue life calculation will be carried out for typical service loading condition using constant amplitude S-N data for various stress ratios and local stress history at stress concentration. In this paper for modeling CATIA V5 software is used and for analysis tool MSC/ PATRAN and MSC/ NASTRAN 2010. Keywords: Transport aircraft, Lift load, Bending moment, Wing-fuselage attachment, stress concentration, Fatigue-life, S-N data, Stress ratio. ----------------------------------------------------------------------***------------------------------------------------------------------------ 1. INTRODUCTION 1.1. Introduction to Lug Attachment Joints Lugs are the primary structural elements in airframe structure that are widely used in connecting different components of the airframe. For ex. aircraft engine-pylon support fittings, wing fuselage attachment, and landing gear links are some of the typical applications where attachment lugs of various configurations can be found. [1] The catastrophic failure is occurring may lead to lug joint bracket of the aircraft structure. Therefore, Finite element analysis (static) and experimental (numerical) data helps the designer to life of the structure from catastrophic failure. Aircraft lug joint bracket is most fracture critical components in aircraft wing-fuselage structure, and the consequences of structural lug failure can be very severe (disastrous) (it is so severe (disastrous) that quite a few times the fuselage and wings of an aircraft gets separated). Therefore, it is important to establish design criteria and analysis methods to ensure the damage tolerance of aircraft attachment lugs. [4] Advantages of lugs are as follows: 1) A lug has a simple geometry with a well defined load transmission compared to bolted and riveted joints. In the latter types of joints, load transmission occurs partly by frictional forces between the plates which are clamped by the fasteners. 2) Lugs occur at various locations in an aircraft structure, either for easy assembling of major components, or for the possibility of rotation (e.g. landing gears, control rods, for joining wing and fuselage). In such cases crack in a lug can lead Fail-Safe problems, and information of crack growth behavior is important. 2. GEOMETRICAL CONFIGURATION Fig a
  • 2. IJRET: International Journal of Research in Engineering and Technology eISSN: 2319-1163 | pISSN: 2321-7308 __________________________________________________________________________________________ Volume: 03 Special Issue: 03 | May-2014 | NCRIET-2014, Available @ http://www.ijret.org 819 Fig b Fig c Fig.2.1 a, b, c, shows three views of wing fuselage lug Joint bracket. Fig.2.2: Isometric view of the lug joint bracket The geometric dimensions of the lug attachment bracket are shown in the figure below. Three views of wing fuselage lug attachment bracket are shown in the Figure 2.1. A three dimensional view of the lug attachment bracket is shown in the figure 2.2. 3. MATERIAL SPECIFICATION  Density (weight)  Stiffness (young’s modulus)  Strength (ultimate and yield strengths) Durability (fatigue)  Damage tolerance (fracture toughness and crack growth)  Corrosion Seldom is a single material able to deliver all desired properties in all components of the aircraft structure. A combination of various materials is often necessary. 3.1 Alloy Steel, Heat Treated AISI-4340 The material considered for the lug joint bracket of the structure is steel alloy AISI4340. The following properties 1. Young’s Modulus, E = 2.1E5N/mm2 2. Density = 7800 kg/mm3 3. Poison's Ratio, μ = 0.3 4. Yield Strength, бy = 1014.3N/mm2 . 5. Ultimate Strength, бu = 1035N/mm2 3.2 Aluminum Alloy – 2024-T351 The material considered for the I section wing spar and rivets joint of the wing structure is aluminum alloy-2024T351. 1. Density = 2800kg/mm3 2. Young’s Modulus, E = 70000N/mm2 3. Poison's Ratio, μ = 0.3 4. Yield Strength, бy = 378N/mm2 . 5. Ultimate Strength, бu = 485N/mm2 4. LOADS ON THE WING FUSELAGE LUG ATTACHMENT BRACKET The aircraft wing is carried out bending moment by the spars in the wing structure. The maximum bending moment occurs at the root of the spar where wing and fuselage components will be attached to each other. The load calculation for the wing fuselage lug attachment bracket is described in the next section. 4.1 Load calculation for the wing fuselage lug joint Bracket. 1) Aircraft category=medium size of fighter aircraft 2) Total weight of the aircraft=6500kg=63765 N 3) Load factor considered in design=3g. 4) Design limit load on the structure=3*63765=1.9129*E5N 5) Design ultimate load=1.9129*E5*1.5=2.8694*E5N 7) Distribution of lift load on fuselage and wing= 20% and 80%. 8) Total Load acting on the Wings=2.8694*E5N*0.8=229.554*E3N 9) Load acting on the each Wing= (229.554*E3)/2=114.777*E3 N 10) Number of spar in the wing=3
  • 3. IJRET: International Journal of Research in Engineering and Technology eISSN: 2319-1163 | pISSN: 2321-7308 __________________________________________________________________________________________ Volume: 03 Special Issue: 03 | May-2014 | NCRIET-2014, Available @ http://www.ijret.org 820 11) Load sharing by spars is a) spar 1=15% b) Spar 2=40% c) Spar 3=45% 12) The wing fuselage attachment considered for the current analysis is at spar. Therefore, load acting on the spare 3=114.777*E3 *0.15=17.216*E3 N. Total bending momentum acting at the root of the beam = 17.216*E3 N *750mm=12.912*E6 N/mm2 To simulate the equivalent bending moment by applying the load at a distance of 480mm which is free end of the beam considered in the analysis is=(12.912*E6 N/mm2))/480=26.9*E3 N. 5. FINITE ELEMENT MODEL OF THE WING FUSELAGE LUG JOINT HOLE (ROOT) BRACKET A finite element model is the complete idealization of the entire structural problem including the node location, the element, physical and material properties, loads and boundary conditions. Fig.5.1 Finite element model of the wing fuselage Lug joint bracket Fig.5.2 The 2-D mesh display in 3-D form to visualize the thickness of the wing fuselage lug joint model. 5.1 The different structural members of the wing fuselage Lug joint bracket are  Lug joint (Root section).  I-spar (Top and bottom flanges section).  Top and bottom flanges of the lug joint bracket.  Riveted holes. The corresponding mesh generated for each of the above mentioned members are shown in the figure below. Fig.5.3 Finite Element Model of the Lug hole (Root section). Fig.5.4 Finite Element Model of the I section Spar in wing fuselage. Fig.5.5 Finite Element Model of the different Thickness of the Lug Plate. Fig.5.6 FEA Model of the Rivets jointed in the I-spar & lug plate 6. THE LOADS AND BOUNDARY CONDITIONS OF THE LUG JOINT IN WING FUSELAGE STRUCTURE. The loads and boundary conditions along with the finite element model are shown in the figure 6.1. A load 26.9E3 N of is applied at one end of the I section spar beam. This load will essentially create the required bending moment at the root section.
  • 4. IJRET: International Journal of Research in Engineering and Technology eISSN: 2319-1163 | pISSN: 2321-7308 __________________________________________________________________________________________ Volume: 03 Special Issue: 03 | May-2014 | NCRIET-2014, Available @ http://www.ijret.org 821 Fig.6.1 Load and Boundary conditions applied to the wing Fuselage Lug joint bracket. 7. THE FINITE ELEMENTS OF THE MODELLING AND STATIC STRESS ANALYSIS IN WING FUSELAGE LUG JOINT BRACKET. The stress values at the root section of the lug hole and the displacement contours occurring are shown in the figures 7.1. A maximum stress of 919N/mm2 is observed at the midpoint of the root section. The maximum stress value obtained from the analysis is used as the input for the fatigue life prediction calculations. Fig 7.1 Figure Showing Maximum Stresses of Wing Fuselage Lug joint Bracket. Table: 7.1 The Convergence criteria of the lug joint bracket Fig.7.2 Max Stress(N/mm2) V/S No. Elements Table 7.2: Several Iteration of Using Max Stress and Min Stress with loads load(N) σ(N/mm2) 26900.86 919 46900.86 1602.22 66900.86 2285.45 86900.86 2968.68 106900.9 3651.92 8. RESULTS AND DISCUSSIONS Fig 8.1 Max Stress in I-Sectional Spar Z1=3.13*E2N/mm2 NO. Of iterations σmax (N/mm2) 0 0 1 390.7 2 546.4 3 918.51 4 919 5 919
  • 5. IJRET: International Journal of Research in Engineering and Technology eISSN: 2319-1163 | pISSN: 2321-7308 __________________________________________________________________________________________ Volume: 03 Special Issue: 03 | May-2014 | NCRIET-2014, Available @ http://www.ijret.org 822 Fig.8.2 Max Stress I-Sectional Spar Z2=2.9* E2N/mm2 Fig.8.3 Displacement Contour of wing fuselage Lug joint Bracket. (2.64mm) 9. CONCLUSIONS  Damage tolerance design philosophy is generally used in the aircraft structural design to reduce the weight of the structure.  Stress analysis of the wing fuselage lug attachment bracket is carried out and maximum tensile stress is identified at one of the lug-holes.  FEM approach is followed for the stress analysis of the wing fuselage lug attachment bracket.  Maximum tensile stress of 919 N/mm2 is observed in the lug.  Several iterations are carried out to obtain a mesh independent value for the maximum stress.  A fatigue crack normally initiates from the location maximum tensile stress in the structure. 10. SCOPE FOR FUTURE WORK  Fatigue crack growth analysis can be carried out on the wing fuselage lug attachment bracket in the bottom skin of the wing.  Damage tolerance evaluation for the lug can be carried out for given load spectrum.  A structural testing of the wing fuselage lug attachment bracket can be carried out for the complete validation of all theoretical calculations.  Introduce an anti-corrosion layer for lugs and pin surface.  Introduce an intermediate sleeve to reduce the local stress concentration in the wing lug REFERENCES [1]. Stress and fatigue analysis of modified wing-fuselage connector for Agricultural aircrafts, Lujan witek, P 773-778, Volume: 43, Issue 3, Journal of Aircraft (2006). [2]. Failure analysis of wing-fuselage connector of an agricultural aircrafts, Lujan witek, P 572-581, Volume 13, Issue 4, Engineering Failure Analysis (2006). [3]. Damage tolerance assessment of aircraft attachment lugs . T.R. Brussat, K. Kathiresan and J.L. Rudd, Lockheed- California Company, Burbank, CA 91520, U.S.A., AT&T Bell Laboratories, Marietta GA 30071, U.S.A., AFWAL/FIBEC, Wright-Patterson Air Force Base, OH 45433, U.S.A. [4]. Stress intensity factors for cracks at attachment lugs. R. Rigby and M. H. Aliabadi, British Aerospace, Filton, Bristol BS99 7AR, U.K., Wessex Institute of Technology, Ashurst Lodge, Ashurst, Southampton S040 7AA, U.K. [5]. Failure in lug joints and plates with holes . J. Vogwell and J. M. Minguez School of Mechanical Engineering, University of Bath, Bath BA2 7AY, U.K., Facultad de Ciencias, Universidad Del Pais Vasco, Bilbao, Spain. [6]. Jaap Schijve, “Fatigue damage in aircraft structures, not wanted, but tolerated?” International journal of fatigue, Volume 31, Issue 6, June 2009, Pages 998-1011