Structural Provision · Portfolio Case Study

AV-265 Antenna Installation Structural Provision

DHC-8-315 · External Antenna Installation · Aerodynamic Loads · Pressurization · Doubler & Rivet Analysis

DHC-8-315Static StressAerodynamic LoadsCabin PressurizationDoubler ReinforcementSwift Load DistributionFastener AllowablesMargins of Safety

Introduction

Description of the Modification

AircraftDHC-8-315Ventral fuselage installation
ModificationTwo AV-265 antennasForward and aft structural provisions
Primary reinforcement2024-T3 external doublers0.8 in feed-through cutouts
AssessmentAerodynamic + pressure + joint loadsHand substantiation and Swift load distribution

Two AV-265 antennas are installed on the lower fuselage: the forward antenna is aft of X488.5 between STR 30S and STR 31S, while the aft antenna is forward of X589.00 between STR 32P and STR 33.

FEED-THROUGHØ 0.8 in fuselage cutout

Each antenna requires a local cable penetration through the fuselage skin.

REINFORCEMENTExternal aluminum doubler

The doubler restores local load-carrying capability around the cutout and distributes skin loads into the surrounding rivet pattern.

DOUBLER ATTACHMENTNAS1097AD flush rivets

The forward pattern uses 74 rivets and the aft pattern uses 58, reflecting the local geometry and required load-transfer path.

ANTENNA ATTACHMENT4 × NAS8604-6 screws

Each antenna is mounted with 100° countersunk alloy-steel screws to retain the external aerodynamic profile.

Load-Path Rationale

I separated the direct antenna-attachment path from the fuselage pressure-load redistribution path because they answer different structural questions. Inertial and aerodynamic blade loads enter through the four NAS8604-6 mounting screws and are checked directly against the attachment hardware and local substrate capacity. Cabin pressure acts as far-field hoop and longitudinal membrane loading in the skin; the external doubler then restores load-carrying capability around the feed-through, and the NAS1097AD rivet rows transfer part of that load into the doubler. Swift strain-compatibility DCLR/LDF calculations are used to quantify how much load reaches the doubler center and how much enters through the first rivet row before skin, doubler, rivet, and corner-bearing margins are checked separately. This keeps the load path explicit and avoids mixing direct antenna loads with pressure-driven skin redistribution.

AERODYNAMIC LOADSDive-speed blade loading

Conservative NACA 0012 idealization is used to develop lift and drag at VD before checking the four-screw antenna interface.

PRESSURE LOAD PATHFuselage membrane-load redistribution

Cabin-pressure hoop and longitudinal loads are redistributed around the feed-through cutout through the skin, doubler and surrounding fastener rows.

JOINT ANALYSISSwift strain-compatibility method

DCLR and first-row LDF values capture progressive shear transfer instead of assuming uniform rivet loading.

STRENGTH CHECKSNet section · rivet shear · bearing

Adjusted skin/doubler stresses, corner-rivet resultants and local bearing are checked against the source allowables with positive margins.

Technical figure from the AV-265 Antenna Installation structural provision report.
Fuselage stations diagram for DHC-8-315 aircraft showing the FWD and AFT antennae installation locations
Technical figure from the AV-265 Antenna Installation structural provision report.
Technical figure from the AV-265 Antenna Installation structural provision report.
AV-265 Antenna Installation details
Technical figure from the AV-265 Antenna Installation structural provision report.
Technical figure from the AV-265 Antenna Installation structural provision report.
AV-265 Antenna dimensions and Installation Layout

Mechanical Properties and Material Specifications for Aircraft Antenna Installation Components.

Description Location Size Material Stu Ssu Sbru E µ
ksi -
Fuselage Skin AFT 0.032 Alclad 2024−T3/T42 60 37 121 10.5 x103 0.33
Fuselage Waffle 0.028
Doubler 0.071 Alclad 2024−T3 62 38 125
Fuselage Skin FWD 0.032 60 37 121
Fuselage Waffle 0.028
Doubler 0.05
Blanking plate - 0.09 62 38 125 - -

Dimensions and Parameter Specifications for Forward and Aft Antenna Installations on Aircraft.

Unit FWD Antenna AFT Antenna
Fuselage Thickness in 0.06* 0.06*
Cutout area in2 0.5027 0.5027
Cutout Diameter in 0.8 0.8
Fuselage maximum radius (R) in 62 62
Doubler Thickness in 0.05 0.071
Dim, hoop direction (W) in 5.4 5
Dim, longitudinal direction (L) in 10.7 8.8
AV-265 Weight lbf 0.4 0.4
Dim, longitudinal direction (L) in 5.25 5.25
Dim, hoop direction (W) in 1.8 1.8
Height in 3.25 3.25
Cabin Maximum pressure differential (∆P) psi 5.95
teff
Effective fuselage thickness = 0.060 in

The bonded 0.032 in skin and 0.028 in waffle are treated as one load-carrying section. The combined thickness is used for pressure stress and local load-transfer calculations at both antenna provisions.

Design Assessment

Critical Loading Condition

REGULATORY SOURCE BASISEmergency and maneuver load criteria used for the installation
FAR 23.561 · Emergency landing
  • Upward: 3.0 g
  • Forward: 9.0 g
  • Sideward: 1.5 g
  • Downward: 3.0 g
Governing downward case

FAR 23.337(a)(1) maneuvering factor:

3.8×1.5=5.7g

Because 5.7 g exceeds the 3.0 g emergency downward value, 5.7 g governs downward.

Load-Case Selection Rationale

I treated the installation with three bounding load families because each acts through a different mechanism. For direct antenna inertia, the FAR 23.561 emergency conditions are retained, except the downward direction where the 3.8 g positive maneuver factor multiplied by 1.5 gives 5.7 g ultimate and therefore exceeds the 3.0 g emergency value. For the exposed antenna blade, the aerodynamic check is bounded at dive speed, VD = 1.25 VMO = 303.75 kn, rather than normal operating speed. For the fuselage reinforcement, cabin pressure is treated separately with the source ultimate pressure differential of 11.87 psi. This prevents unrelated load paths from being combined while retaining the governing demand for each failure mode.

Selected governing load conditions used in the structural assessment.

CaseConditionSource / candidate valueSelected design valueGoverning basis
1Upward inertia3.0 g3.0 gEmergency landing
2Forward inertia9.0 g9.0 gEmergency landing
3Sideward inertia1.5 g1.5 gEmergency landing
4Downward inertia3.0 g emergency / 5.7 g maneuver5.7 gManeuver load governs
5Aerodynamic envelopeVMO = 243 knVD = 303.75 knDive-speed aerodynamic bound
6Cabin pressureΔP = 5.95 psiPult = 11.87 psiUltimate pressurization

Antenna Blanking Plate Installations

Blanking plates - passed by inspection

Each previously approved provision is closed with a 0.090 in AL 2024-T3 plate secured by four NAS8604-6 #10-32 screws. With negligible applied loading and an existing approved structural provision, no separate detailed strength calculation is required by the source assessment.

Inertial Loading Considerations

Antenna weight0.4 lbf
9 g forward inertia3.6 lbf
NAS8604-6 shear allowable720 lbf
NAS8604-6 tensile allowable1,200 lbf
Substrate bearing strength121–125 ksi
Why inertia is non-governing. The 3.6 lbf emergency forward load is orders of magnitude below the screw shear/tension capacities, and the supporting aluminum layers have high bearing allowables. The source therefore passes the direct antenna inertia path by inspection.

Aerodynamic Loading Considerations

Lift Force

LOAD ORIENTATION
Side load normal to the flight path

The aerodynamic side force is treated perpendicular to the antenna’s forward trajectory to capture a conservative cross-flow condition.

AIRFOIL IDEALIZATION
Symmetric section

The blade is idealized as a symmetric airfoil so established lift/drag relations can be used with the scaled antenna geometry.

DESIGN SPEED
Dive speed, not VMO

The analysis uses VD = 1.25 VMO per the cited FAR criterion, increasing dynamic pressure relative to normal operating speed.

CONSERVATIVE PROFILE
NACA 0012 envelopes the scaled section

The scaled thickness ratio is about 8.63%, closer to a thinner NACA 0004-type profile; NACA 0012 is selected because its higher lift coefficient produces a conservative aerodynamic load.

NACA
NACA 0012 selected as the conservative aerodynamic surrogate

The measured mean thickness ratio is 8.63%. Using the thicker symmetric NACA 0012 profile intentionally biases the lift estimate upward relative to the thinner profile suggested by the scaled geometry.

NACA 0012 source data
cl,max 1.1744cd,max 0.017821αstall 12.18°
Technical figure from the AV-265 Antenna Installation structural provision report.
Characteristic data for NACA 0012 airfoil [Airfoil Design and Data by Richard Eppler]
Dive speed, VD303.75 kn
Mean thickness ratio8.63%
Reynolds number8.25 × 105
3D CL,max0.46444
3D CD,max0.08193
Lantenna=12ρVD2SCLmax=120.002378(AirDensity@SeaLevel)512.6722442(DivingSpeed)0.068487(Antenna’sSurfaceArea)0.464436911(Antenna’sMaximumLiftCoefficient)\begin{aligned} {L_{antenna}}&={\,\frac{1}{2}\rho V_{D}^{2}SC_{L_{\max}}}\\ {}&={\frac{1}{2}\overbrace{0.002378}^{\binom{\text{Air}\,\text{Density}}{\text{@Sea}\,\,\text{Level}}}\,\,\,\,\,\overbrace{512.672244 ^{2}}^{\binom{\text{Diving}}{\text{Speed}}}\,\,\,\,\overbrace{0.068487}^{\binom{\text{Antenna's}\,}{\,\text{Surface}\,\text{Area}}}\,\,\,\overbrace{0.464436911}^{\binom{\text{Antenna's}\,\text{Maximum}\,}{\text{Lift}\,\text{Coefficient}}}\,} \end{aligned}

Drag Force

Technical figure from the AV-265 Antenna Installation structural provision report.
Air (Drag) load acting on AV-265 Antenna
CDmax=0.017821cdmax+0.4644369112CLmax21.071016642π\begin{aligned} {C_{D_{\text{max}}}}&={\overbrace{0.017821}^{c_{d_{\text{max}}}}\,+\frac{\overbrace{0.464436911^{2}}^{C_{L_{\text{max}}}^{2}} }{1.071016642 \pi }} \end{aligned}
Dantenna=12ρVD2SCDmax=120.002378(AirDensity@SeaLevel)512.6722442(DivingSpeed)0.068487(Antenna’sSurfaceArea)0.081928282(Antenna’sMaximumDragCoefficient)\begin{aligned} {D_{antenna}}&={\,\frac{1}{2}\rho V_{D}^{2}SC_{D_{\max}}}\\ {}&={\frac{1}{2}\overbrace{0.002378}^{\binom{\text{Air}\,\text{Density}}{\text{@Sea}\,\,\text{Level}}}\,\,\,\,\,\overbrace{512.672244 ^{2}}^{\binom{\text{Diving}}{\text{Speed}}}\,\,\,\,\overbrace{0.068487}^{\binom{\text{Antenna's}\,}{\,\text{Surface}\,\text{Area}}}\,\,\,\overbrace{0.081928282 }^{\binom{\text{Antenna's}\,\text{Maximum}\,}{\text{Drag}\,\text{Coefficient}}}\,} \end{aligned}
Ultimate side force9.940 lbf
Lift load / screw2.485 lbf
Ultimate drag1.753 lbf
Drag load / screw0.438 lbf
Why aerodynamic attachment loads are non-governing. Both per-screw demands are very small relative to the NAS8604-6 ultimate shear allowable, so the source passes this direct attachment path by inspection.

Cabin Pressurization Loads

PRESSURE BASISMaximum cabin differential = 5.95 psi

The source applies FAR 25.303 and 25.365(d), including the 1.5 strength factor and 1.33 pressure multiplier, to obtain the ultimate pressure differential used below.

Pp,ult.=(1.5)(1.33)(5.95)\begin{aligned} {P_{p_{\text{,ult}.}}}&={ \left(1.5\right)\left(1.33\right)\left(5.95\right)} \end{aligned}
Pp,ult.=11.87psi\begin{aligned} {P_{p_{\text{,ult}.}}}&={ 11.87\,\,\text{psi}} \end{aligned}
Conservative load combination. At the ventral fuselage, flight bending places the skin in compression and therefore relieves pressure-induced tensile stress. The bending contribution is omitted so the pressure-only tensile state remains conservative for this local check.

Total Far-Field Hoop and Longitudinal Stresses in the Skin

Using the bottom-fuselage radius Rbottom = 62 in and the effective 0.060 in skin-plus-waffle thickness, the pressure-induced far-field stresses are:

σhoop=Pp,ult.Rbottomtskin(s)\sigma_{hoop}=\frac{P_{p_{\text{,ult.}}}\,R_{\text{bottom}}}{t_{\text{skin(s)}}}
σlong=12σhoop\sigma_{long}=\frac{1}{2}\sigma_{hoop}
σhoopfwd=σhoopaft=σhoop=11.87(Max.CabinPressure)62(Max.FuselageRadius@Bottom)0.032SkinThickness+0.028WaffleThickness\sigma_{hoop}^{\text{fwd}}=\sigma_{hoop}^{\text{aft}}=\sigma_{hoop}=\frac{\overbrace{11.87}^{\binom{\text{Max.}\,\text{Cabin}}{\text{Pressure}}}\,\overbrace{62}^{\binom{\text{Max.}\,\text{Fuselage}}{\text{Radius@Bottom}}}}{\underbrace{0.032}_{\text{SkinThickness}}+\underbrace{0.028}_{\text{WaffleThickness}}}=12.2657 ksi
σlongfwd=σlongaft=σlong=12σhoop\sigma_{long}^{\text{fwd}}=\sigma_{long}^{\text{aft}}=\sigma_{long}=\frac{1}{2}\sigma_{hoop}
\Rightarrow
σlong=6.1328ksi\sigma_{long}=6.1328 \,\text{ksi}
FWD hoop load7,874.6 lbf
FWD longitudinal load1,987.1 lbf
AFT hoop load6,476.3 lbf
AFT longitudinal load1,839.9 lbf

Doubler Central Load Ratio (DCLR) and First-Row Load Distribution Factors (LDF)

DCLR
Load reaching the doubler center

The Doubler Central Load Ratio represents the fraction of the far-field hoop or longitudinal load accumulated at the doubler center after progressive transfer through the rivet rows.

1st-row LDF
Critical first-row fastener demand

The first-row Load Distribution Factor represents the fraction of the applied directional load entering the doubler through the first rivet row-the row used to establish the critical individual fastener load.

Swift
Swift strain-compatibility method

The source uses the Fastener Shear Load Distribution Analysis tool based on Swift’s strain-compatibility formulation to capture progressive shear transfer through the joint rather than assuming uniform load per rivet. [Damage Tolerance Assessment Handbook-Volume II: Airframe Damage Tolerance Evaluation]

Ep, Es, EfPlate, doubler and fastener elastic moduli
D / materialRivet diameter and material
tp, tsSkin and doubler thicknesses
Wp, WsFastener pitch across the evaluated row
LDistance between adjacent rivet rows
Why multiple cases are required. Rivet pitch and row spacing vary around the doubler, so both minimum and maximum geometric combinations are evaluated. The aft provision is also solved for both 1/8 in and 5/32 in rivets. This brackets the stiffness/load-transfer sensitivity instead of relying on one nominal joint geometry.
Technical figure from the AV-265 Antenna Installation structural provision report.
Calculating the Doubler Central Load Ratio (DCLR) and the 1 st row Load Distribution Factors (LDF)
Technical figure from the AV-265 Antenna Installation structural provision report.
Free Body Diagram (FBD) for the antenna installation in the FWD region for the hoop and longitudinal cases.
Technical figure from the AV-265 Antenna Installation structural provision report.
Free Body Diagram (FBD) for the antenna installation in the AFT region for the hoop and longitudinal cases.

Doubler Central Load Ratio (DCLR) and the 1st row Load Distribution Factors (LDF) for various case-scenarios for both the FWD and AFT antenna installation locations.

AFT antenna installation location
Load Direction Hoop Longitudinal Hoop Longitudinal
Rivet Size (in) 1/8 5/32
Parameter (%) αLDFH\alpha_{\text{LDF}}^{\text{H}} βDCLRH\beta_{\text{DCLR}}^{\text{H}} αLDFL\alpha_{\text{LDF}}^{\text{L}} βDCLRL\beta_{\text{DCLR}}^{\text{L}} αLDFH\alpha_{\text{LDF}}^{\text{H}} βDCLRH\beta_{\text{DCLR}}^{\text{H}} αLDFL\alpha_{\text{LDF}}^{\text{L}} βDCLRL\beta_{\text{DCLR}}^{\text{L}}
Wmax, Lmax 25.19 36.85 28.11 43.41 26.64 38.60 29.31 44.68
Wmin, Lmin 26.22 39.44 29.85 46.70 27.57 41.03 30.93 47.66
FWD antenna installation location
Wmax, Lmax 20.78 31.9 23.42 39.05
Wmin, Lmin 24.44 36.07 24.66 41.27
Representative load-transfer result. For the 1/8 in rivet / maximum-spacing case, Swift DCLR transfers 2,512.00 lbf hoop and 775.96 lbf longitudinal load into the FWD doubler center; the remaining 5,362.60 lbf and 1,211.14 lbf remain in the skin. The AFT representative case transfers 2,386.52 lbf hoop and 798.70 lbf longitudinal load into the doubler.

Adjusted Hoop and Longitudinal Stresses at the Doubler and Skin Center

Net-section basis. The critical section passes through the feed-through and fastener holes, so the effective width and length are reduced for removed material before the center loads are converted into adjusted stresses. The AFT calculation conservatively uses the 5/32 in rivet diameter when defining the net section.
[Wnet]doubler=[W]doublerDcutnr,maxDr,max\left[W_{net}\right]_{\text{doubler}}=\left[W\right]_{\text{doubler}}-D_{\text{cut}}-n_{\text{r,max}}D_{\text{r,max}}
[Lnet]doubler=[L]doublerDcutnr,maxLr,max\left[L_{net}\right]_{\text{doubler}}=\left[L\right]_{\text{doubler}}-D_{\text{cut}}-n_{\text{r,max}}L_{\text{r,max}}
FWD net width3.85 in
FWD net length8.15 in
AFT net width3.10625 in
AFT net length6.28125 in
FWD governing skin hoop10.9665 ksi
AFT governing skin hoop10.8518 ksi
FWD governing doubler hoop6.9702 ksi
AFT governing doubler hoop5.9583 ksi

Adjusted far-field hoop and longitudinal stresses (ksi) in the skin for the evaluated FWD and AFT joint cases.

AFT antenna installation location
Rivet Size (in) 1/8 5/32
Load Direction Hoop Longitudinal Hoop Longitudinal
MAX (W, L) values 10.8518 5.5866 10.5511 5.4612
MIN (W, L) values 10.4068 5.2618 10.1335 5.1670
FWD antenna installation location
MAX (W, L) values 10.9665 5.2430
MIN (W, L) values 10.2949 5.0520

Adjusted far-field hoop and longitudinal stresses (ksi) in the doubler for the evaluated FWD and AFT joint cases.

AFT antenna installation location
Rivet Size (in) 1/8 5/32
Load Direction Hoop Longitudinal Hoop Longitudinal
MAX (W, L) values 5.3513 3.6215 5.6054 3.7275
MIN (W, L) values 5.7274 3.8960 5.9583 3.9761
FWD antenna installation location
MAX (W, L) values 6.1644 4.0310
MIN (W, L) values 6.9702 4.2602

Skin Minimum Margin of Safety

GOVERNING SKIN CASEMaximum adjusted hoop stress controls.

For both antenna locations, the critical skin stress occurs with maximum pitch/row spacing and the 1/8 in rivet case. The corresponding minimum margins are calculated below.

M.Sskin=Stuskinσhoop,adj1\begin{aligned} {\text{M.S}_{skin}}&={\frac{S_{tu_{skin}}}{\sigma_{hoop_{\text{,adj}}}}-1} \end{aligned}

Doubler Minimum Margin of Safety

GOVERNING DOUBLER CASEMaximum adjusted hoop stress controls.

The doubler is governed by the minimum pitch/row-spacing case; the aft 5/32 in rivet case produces the highest local doubler hoop stress. The resulting margins are calculated below.

Skin MS · FWD+4.47
Skin MS · AFT+4.53
Doubler MS · FWD+7.61
Doubler MS · AFT+9.41

Individual Hoop and Longitudinal Load per Rivet

[P]r=αLDFPappliednr\left[P\right]_{\text{r}}=\alpha_{\text{LDF}}\,\,\frac{P_{\text{applied}}}{n_{r}}

First-row hoop/longitudinal load per rivet (lbf), [P]r, for the evaluated FWD and AFT joint cases.

AFT antenna installation location
Rivet Size (in) 1/8 5/32
Load Direction Hoop Longitudinal Hoop Longitudinal
MAX (W, L) values 148.31 86.20 156.84 89.88
MIN (W, L) values 154.37 91.54 162.32 94.85
FWD antenna installation location
MAX (W, L) values 116.88 77.56
MIN (W, L) values 137.47 81.67
Technical figure from the AV-265 Antenna Installation structural provision report.
Shear Loads carried by each rivet in case of maximum L&W values in the FWD region.
Technical figure from the AV-265 Antenna Installation structural provision report.
Shear Loads carried by each rivet in case of minimum L&W values in the FWD region.
Technical figure from the AV-265 Antenna Installation structural provision report.
Shear Loads carried by each rivet in case of maximum L&W values, and 1/8” rivet size in the AFT region.
Technical figure from the AV-265 Antenna Installation structural provision report.
Shear Loads carried by each rivet in case of minimum L&W values, and 1/8” rivet size in the AFT region.
Technical figure from the AV-265 Antenna Installation structural provision report.
Shear Loads carried by each rivet in case of maximum L&W values, and 5/32” rivet size in the AFT region.
Technical figure from the AV-265 Antenna Installation structural provision report.
Shear Loads carried by each rivet in case of minimum L&W values, and 5/32” rivet size in the AFT region.
FWD max rivet shear166.71 lbf
AFT max · 5/32 in188.02 lbf
AFT max · 1/8 in179.47 lbf
Rivet MS · FWD 1/8 in+1.039
Rivet MS · AFT 5/32 in+1.883
Rivet MS · AFT 1/8 in+1.078

Bearing Stress at Corner Holes

BEARING CHECKEvaluate the thinnest layer at the corner rivets.

FWD: 0.050 in doubler. AFT: 0.060 in effective fuselage skin/waffle section. Using the thinner participating layer maximizes bearing stress for the local joint check.

σbearing=[Pnet]rtlayerDh\sigma_{bearing}=\frac{\left[P_{\text{net}}\right]_{r}}{t_{layer}D_{h}}
FWD bearing stress26.674 ksi
AFT bearing · 5/32 in20.055 ksi
AFT bearing · 1/8 in23.929 ksi
FWD bearing MS+3.663
AFT bearing MS · 5/32 in+5.139
AFT bearing MS · 1/8 in+4.198

The opposite companion layers are thicker than the layers checked above, so their bearing stresses are lower and are covered by comparison.

Substantiation Outcome

SKINPositive margins

Minimum pressure/load-transfer margins: FWD 4.47, AFT 4.53.

DOUBLERPositive margins

Minimum hoop-stress margins: FWD 7.61, AFT 9.41.

RIVETSCorner demand governs

Maximum resultant shear: 166.71 lbf FWD and 188.02 lbf AFT.

BEARINGPositive margins

Critical corner bearing margins remain positive; the thinner companion layers are passed by comparison.

PASS
Source substantiation supports the AV-265 structural provision.

Direct inertial and aerodynamic antenna loads are non-governing by inspection, while cabin-pressure load redistribution, skin/doubler stresses, rivet loads and corner-hole bearing are substantiated with positive margins.

REFERENCES

Regulatory & Aircraft Load Basis

  • Federal Aviation Regulations - FAR 23.335, FAR 23.337 and FAR 23.561
  • Federal Aviation Regulations - FAR 25.303 and FAR 25.365

Aerodynamic Methods

  • Airfoil Design and Data - Richard Eppler
  • Fundamentals of Aerodynamics, 3rd Edition - John D. Anderson

Load Distribution & Structural Methods

  • Damage Tolerance Assessment Handbook - Volume II: Airframe Damage Tolerance Evaluation

Fasteners & Hardware Data

  • NAS1097AD flush shear rivet standard
  • NAS8604-6 countersunk screw standard