7.0 pavement data - texas a&m university · pdf file · 2004-03-25rigid...
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7.0 PAVEMENT DATA
7.1 General Information
7.2 Footprint
7.3 Maximum Pavement Loads
7.4 Landing Gear Loading on Pavement
7.5 Flexible Pavement Requirements
7.6 Flexible Pavement Requirements, LCN Conversion
7.7 Rigid Pavement Requirements
7.8 Rigid Pavement Requirements, LCN Conversion
7.9 ACN-PCN Reporting System: Flexible and Rigid Pavements
MDC K9099OCTOBER 2002
MDC K9099
7.0 PAVEMENT DATA
7.1 General Information
A brief description of the following pavement charts will be helpful in their use for airport planning.Each airplane configuration is shown with a minimum range of five loads imposed on the main landing gear to aid in interpolation between the discrete values shown. All curves for any single chart represent data based on rated loads and tire pressures considered normal and acceptable by current aircraft tire manufacturer's standards.
Section 7.2 presents basic data on the landing gear footprint configuration, maximum design taxi loads, and tire sizes and pressures.
Maximum pavement loads for certain critical conditions at the tire-ground interfaces are shown in Section 7.3.
Pavement requirements for commercial airplanes are customarily derived from the static analysis of loads imposed on the main landing gear struts. The chart in Section 7.4 is provided in order to determine these loads throughout the stability limits of the airplane at rest on the pavement. These main landing gear loads are used as the point of entry to the pavement design charts, interpolating load values where necessary.
The flexible pavement design curves (Section 7.5) are based on procedures set forth in Instruction Report No. S-77-1, "Procedures for Development of CBR Design Curves," dated June 1977, and as modified according to the methods described in FAA Advisory Circular 150/5320-6D, "Airport Pavement Design and Evaluation," dated July 7, 1995. Instruction Report No. S-77-1 was prepared by the U.S. Army Corps of Engineers Waterways Experiment Station, Soils and Pavements Laboratory, Vicksburg, Mississippi. The line showing 10,000 coverages is used to calculate Aircraft Classification Number (ACN).
The following procedure is used to develop the flexible pavement curves:
1. Having established the scale for pavement depth at the bottom and the scale for CBR at the top, an arbitrary line is drawn representing 6,000 annual departures.
2. Values of the aircraft gross weight are then plotted.
3. Additional annual departure lines are drawn based on the load lines of the aircraft gross weights already established.
4. An additional line representing 10,000 coverages (used to calculate the Aircraft Classification Number) is also placed.
OCTOBER 2002 7–1
MDC K9099
Rigid pavement design curves (Section 7.7) have been prepared with the use of the Westergaard equation in general accordance with the relationships outlined in the 1955 Edition of "Design of Concrete-Airport Pavement" published by the Portland Cement Association, 33 W. Grand Ave., Chicago, Illinois, but modified to the new format described in the 1968 Portland Cement Association publication, "Computer Program for Airport Pavement Design" (Program PDILB) by Robert G. Packard.
The following procedure is used to develop the rigid pavement design curves such as that shown in Section 7.7:
1. Having established the scale for pavement thickness to the left and the scale for allowable working stress to the right, an arbitrary load line is drawn representing the main landing gear maximum weight to be shown.
2. All values of the subgrade modulus (k-values) are then plotted.
3. Additional load lines for the incremental values of weight on the main landing gear are then established on the basis of the curve for k = 300, already established.
All Load Classification Number (LCN) curves (Sections 7.6 and 7.8) have been plotted from data in the International Civil Aviation Organization (ICAO) Document 7290-AN/865/2, Aerodrome Manual, Part 2, "Aerodrome Physical Characteristics," 2nd Edition, 1965.
On the same charts showing LCN versus equivalent single wheel load, there are load plots for airplane Model MD-90-30 showing equivalent single wheel load versus pavement thickness for flexible pavements and versus radius of relative stiffness for rigid pavements.
Procedures and curves provided in the ICAO Aerodrome Manual – Part 2, Chapter 4 are used to determine equivalent single wheel loads for use in making LCN conversion of rigid pavement requirements.
Note: Pavement requirements are presented for loads, tires and tire pressures presently certified for commercial usage. All curves represent data at a constant specified tire pressure.
The ACN-PCN system (Section 7.9) as referenced in ICAO Annex 14, “Aerodromes,” 3rd Edition, July 1999, provides a standardized international airplane/pavement rating system replacing the various S, T, TT, LCN, AUW, ISWL, etc., rating systems used throughout the world. ACN is the Aircraft Classification Number and PCN is the corresponding Pavement Classification Number. An aircraft having an ACN equal to or less than the PCN can operate without restriction on the pavement. Numerically, the ACN is two times the derived single wheel load expressed in thousands of kilograms, where the derived single wheel load is defined as the load on a single tire inflated to 1.25 MPa (181 psi) that would have the same pavement requirements as the aircraft. Computationally, the ACN-PCN system uses PCA program PDILB for rigid pavements and S-77-1 for flexible pavements to calculate ACN values. The method of pavement evaluation is left up to the airport with the results of its evaluation presented as follows:
7–2 OCTOBER 2002
MDC K9099
PAVEMENTTYPECODE
RIGIDFLEXIBLE
RF
SUBGRADE CATEGORYCODE
HIGH(k = 150MN/M3)(OR CBR = 15)MEDIUM(k = 80MN/M3)(OR CBR = 10)LOW(k = 40MN/M3)(OR CBR = 6)ULTRA LOW (K = 20MN/M3) (OR CBR = 3)
A
B
C
D
TIREPRESSURECATEGORYCODE
HIGH(NO LIMIT)MEDIUM(LIMITED TO 1.5 MPa)LOW(LIMITED TO 1.0 MPa)VERY LOW (LIMITED TO 0.5 MPa)
W
X
Y
Z
EVALUATION METHODCODE
TECHNICALUSINGAIRCRAFT
TU
PAVEMENTCLASSIFI-CATIONNUMBERPCN
(BEARING STRENGTHFOR UN-RESTRICTEDOPERATIONS)
(s)
This document has been partially revised to incorporate key information for the MD-90-30ER with a maximum ramp weight of 168,500 lbs (76,430 kgs). Due to the fact that there were only two aircraft delivered in this higher weight configuration when production of the model ceased, only limited charts in this section have been revised for the MD-90-30ER. The modified/new charts are limited to the following:
7.2 Footprint7.3 Maximum Pavement Loads7.4 Landing Gear Loading on Pavement7.9.3 Aircraft Classification Number - Flexible Pavement (168,500 lbs)7.9.4 Aircraft Classification Number - Rigid Pavement (168,500 lbs)
Contact Airport Technology for any additional data needed for this high weight model at:
Attention: Airport TechnologyTelephone: 425-237-0126Fax: 425-237-8281Email: [email protected]: www.boeing.com/airports
7–3OCTOBER 2002
MDC K9099
7.2 FOOTPRINT MODEL MD-90-30/-30ER
168,500 LB (76,430 KG)
26 x 6.6 12 PR
160 PSI (11.3 KG/CM )2
H 44.5 x 16.5 — 21 26 PR
190 PSI (13.4 KG/CM )2
20.6 IN. (52.3 CM)
77 FT 2 IN. (23.5 M)
28.1 IN. (71.4 CM)20 FT 4.8 IN.
(6.22 M)
16 FT 8.2 IN.(5.09 M)
14.0 IN.(35.6 CM)
MAXIMUM DESIGNTAXI WEIGHT
PERCENT OF WEIGHT ON MAIN GEAR
NOSE TIRE SIZE
NOSE TIRE PRESSURE
MAIN GEAR TIRE SIZE
MAIN GEAR TIRE PRESSURE
MD-90-30ERMD-90-30
157,000 LB (71,214 KG)
SEE SECTION 7.4 SEE SECTION 7.4
26 x 6.6 12 PR
170 PSI (11.9 KG/CM )2
H 44.5 x 16.5 — 21 26 PR
193 PSI (13.6 KG/CM )2
7–4 OCTOBER 2002
MDC K9099
7.3
MA
XIM
UM
PAV
EMEN
T LO
AD
SM
OD
EL M
D-9
0-30
/-30E
R
MO
DEL
MD
-90-
3015
7,00
0
LB
MAX
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MD
ESIG
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AXI
WEI
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T
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G
STAT
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IS +
BR
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10 F
T/SE
C
DEC
LER
ATIO
N2
LBKG
LBKG
LBKG
LBKG
LBKG
14,7
106,
670
20,2
309,
180
VM
GPE
RST
RU
T (2
)AF
T C
.G.
MAX
IMU
M L
OAD
O
CC
UR
RIN
G
AT S
TATI
C
AFT
C.G
.
75,7
4034
,360
AT S
TEAD
Y BR
AKIN
G
10 F
T/SE
C
DEC
ELER
ATIO
N2
24,4
0011
,070
H P
ER S
TRU
T (2
) AT
INST
ANTA
NEO
US
BRAK
ING
(CO
EFF.
O
F FR
ICTI
ON
0.8
)
56,0
5025
,420
VN
G
LEG
END
: V
=
MAX
IMU
M V
ERTI
CAL
NO
SEG
EAR
GR
OU
ND
LO
AD A
T M
OST
FO
RW
ARD
C.G
.N
GV
=
MAX
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M V
ERTI
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MAI
N G
EAR
GR
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ND
LO
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T M
OST
AFT
C.G
.H
= M
AXIM
UM
HO
RIZ
ON
TAL
GR
OU
ND
LO
AD F
RO
M B
RAK
ING
MG
NO
TE:
ALL
LO
AD
S C
ALC
ULA
TED
USI
NG
AIR
PLA
NE
MA
XIM
UM
DES
IGN
TA
XI W
EIG
HT
VM
G
H
MD
-90-
30ER
168,
500
OCTOBER 2002 7–5
15,3
286,
952
21,2
059,
618
79,1
6735
,909
26,1
6811
,870
63,3
3428
,728
MDC K9099
7.4 Landing Gear Loading on Pavement
To obtain the airplane weight on the following pavement charts, an equivalent main landing gear weightmust be determined.
In the example shown for the MD-90-30 in Section 7.4.1, for a gross weight of 105,000 lb at 96.48% weight on main gear, the equivalent weight on the main landing gear is 101,200 lb.
7–6 OCTOBER 2002
MDC K9099
7.4.1 LANDING GEAR LOADING ON PAVEMENTMODEL MD-90-30
PERCENT OF WEIGHT ON MAIN GEAR
130
80 85 90 95 100
120
110
100
90
80
70
60
150
140
WEI
GH
T O
N M
AIN
LAN
DIN
G G
EAR
(1,0
00 L
B)
AIR
PLAN
E G
RO
SS W
EIG
HT
(1,0
00 L
B)
70
60
50
40
30
AIR
PLAN
E G
RO
SS W
EIG
HT
(1,0
00 K
G)
10 15 20 25 30 35
160
130
120
110
100
90
80
70
60
150
140
160
40
NOTE: UNSHADED AREAS REPRESENT OPERATIONAL LIMITS
–10 –5
PERCENT MAC
96.48
C.G. FOR ACN CALCULATIONS
MAXIMUM DESIGN TAXI WEIGHT 157,000 LB
50
OCTOBER 2002 7–7
MDC K9099
7.4.2 LANDING GEAR LOADING ON PAVEMENTMODEL MD-90-30ER
PERCENT OF WEIGHT ON MAIN GEAR
WEI
GH
T O
N M
AIN
LAN
DIN
G G
EAR
(1,0
00 L
B)
AIR
PLAN
E G
RO
SS W
EIG
HT
(1,0
00 L
B)
AIR
PLAN
E G
RO
SS W
EIG
HT
(1,0
00 K
G)
NOTE: UNSHADED AREAS REPRESENT OPERATIONAL LIMITS
OCTOBER 20027–8
-5 5 10 15 20 25 30-10 0
80 85 90 95 100
150
140
130
120
110
100
90
160
40
45
50
55
60
65
70
160
90
100
110
120
140
150
130
170
75
170
C.G. FOR ACNCALCULATIONS
93.96
PERCENT MAC
MAXIMUM DESIGN TAXI WEIGHT 168,500 LB
MDC K9099
7.5 Flexible Pavement Requirements -- U.S. Army Corps of Engineers Method (S-77-1)
The following flexible-pavement design chart presents data for 5 incremental main-gear weights at a constant main-gear tire pressure of 200 psi (14.1 kg/cm ).2
In the example shown for the MD-90-30, for a CBR of 7.0, a main-gear load of 100,000 lb, and an annual departure level of 6,000, the required pavement thickness is 24.5 inches.
The line showing 10,000 coverages is used for ACN calculations (see section 7.9).
The FAA design method uses a similar procedure using total airplane weight instead of weight on main landing gear. The equivalent main gear loads for a given airplane weight can be calculated from Section 7.4.
7–9OCTOBER 2002
MDC K9099
7.5.1 FLEXIBLE PAVEMENT REQUIREMENTSU.S. ARMY CORPS OF ENGINEERS/FAA DESIGN METHOD
MODEL MD-90-30
(CENTIMETERS)
NOTES: � H44.5 x 16.5–21, 26 PR TIRES� TIRE PRESSURE CONSTANT AT 200 PSI (14.1 KG/CM )
SUBGRADE STRENGTH (CBR)15 25
WEIGHT ON MAINLANDING GEAR
(SEE SECTION 7.4)
151,500 (68,720)140,000 (63,500)120,000 (54,400)100,000 (45,400)80,000 (36,300)
LB (KG)
ANNUALDEPARTURES
1,2003,0006,00015,00025,000
10,000 COVERAGES(USED FOR ACN CALCULATIONS)
* 20-YEAR PAVEMENT LIFE
15 25
10 15 20 25 30 40 50 60 80 100 120
MAX POSSIBLE MAINGEAR LOAD AT MAXDESIGN TAXI WEIGHTAND AFT C.G.4
INCHES
FLEXIBLE PAVEMENT THICKNESS
2
3 4 5 6 7 8 9 10 20 30 40 50
3 4 5 6 7 8 9 10 20 30 40 50
OCTOBER 20027–10
MDC K9099
7.6 Flexible Pavement Requirements, LCN Conversion
To determine the airplane weight that can be accommodated on a particular flexible airport pavement,both the LCN of the pavement and the thickness (h) of the pavement must be known.
In the example shown for the MD-90-30, the flexible pavement thickness is 30 inches and the LCN is 70.For these conditions, the weight on the main landing gear is 110,000 pounds.
If the resulting aircraft LCN is not more than 10 percent above the published pavement LCN, the bearing strength of the pavement can be considered sufficient for unlimited use by the airplane. The figure of 10 percent has been chosen as representing the lowest degree of variation in LCN which is significant. (Reference: ICAO Aerodrome Design Manual, Part 2, "Aerodrome Physical Characteristics," Chpt. 4, Para. 4.1.5.7v, 2nd Edition, 1965.)
Note:
7–11OCTOBER 2002
MDC K9099
7.6.
1 F
LEXI
BLE
PAV
EMEN
T R
EQU
IREM
ENTS
, LC
N C
ON
VER
SIO
NM
OD
EL M
D-9
0-30
(CEN
TIM
ETER
S)
FLEX
IBLE
PA
VEM
ENT
THIC
KN
ESS
INC
HES
160
8010
012
014
060
5030
40
4030
5060
7010
2015
LOA
D C
LASS
IFIC
ATI
ON
NU
MB
ER (L
CN
)
4030
5060
7020
1580
9010
0
510203040
EQUIVALENT SINGLE WHEEL LOAD (1,000 KG)• H
44.5
x 1
6.5-
21, 2
6 PR
TIR
ES• T
IRE
PRES
SUR
E C
ON
STR
AIN
T A
T 20
0 PS
I
WEI
GH
T O
NM
AIN
LA
ND
ING
GEA
R(S
EE S
ECTI
ON
7.4
)
LB(K
G)
151,
500
140,
000
120,
000
100,
000
80,0
00
(68,
720)
(63,
500)
(54,
400)
(45,
400)
(36,
300)
NO
TE:
EQU
IVA
LEN
T SI
NG
LE W
HEE
L LO
AD
S A
RE
DER
IVED
BY
MET
HO
DS
SHO
WN
IN IC
AO
AER
OD
RO
ME
MA
NU
AL,
PA
RT
2, P
AR
A. 4
.1.3
.
MA
XIM
UM
PO
SSIB
LE M
AIN
GEA
RLO
AD
AT
MA
XIM
UM
DES
IGN
TA
XIW
EIG
HT
AN
D A
FT C
.G.
100
90 80 70 60 50 40 30 20 10
EQUIVALENT SINGLE WHEEL LOAD (1,000 KG)
OCTOBER 20027–12
MDC K9099
7.7 Rigid Pavement Requirements, Portland Cement Association Design Method
The following rigid-pavement design chart presents data for 5 incremental main-gear weights at a constant main-gear tire pressure of 200 psi (14.1 kg/cm ).2
In the example shown for the MD-90-30, for an allowable working stress of 400 psi, a main-gear load of 127,000 lb, and a subgrade strength k of 150, the required rigid-pavement thickness is 12 inches.
7–13OCTOBER 2002
MDC K9099
7.7.1 RIGID PAVEMENT REQUIREMENTS,PORTLAND CEMENT ASSOCIATION DESIGN METHOD
MODEL MD-90-30
THE VALUES OBTAINED BY USING THE MAX LOAD REFERENCE LINE AND ANY VALUES OF k ARE EXACT.FOR LOADS LESS THAN MAXIMUM, THE CURVES ARE EXACT FOR k = 300, BUT DEVIATE SLIGHTLY FOROTHER VALUES OF k.
REF: “DESIGN OF CONCRETE AIRPORT PAVEMENT" AND "COMPUTER PROGRAM FOR AIRPORT PAVEMENTDESIGN -- PROGRAM PDILB," PORTLAND CEMENT ASSOCIATION.
18
16
14
12
10
8
50
45
40
35
30
25
20
PAVE
MEN
T TH
ICKN
ESS
IN.(CM)
20
6
800
700
600
500
400
300
60
50
40
30
20
ALLO
WAB
LE W
OR
KIN
G S
TRES
S
PSI (KG/CM )2
900
200
151,500 (68,720)140,000 (63,500)120,000 (54,400)100,000 (45,400) 80,000 (36,300)
LB (KG)
k = 75k = 150k = 300k = 550
MAXIMUM POSSIBLE MAIN GEARLOAD AT MAXIMUM DESIGN TAXIWEIGHT AND AFT C.G.
WEIGHT ON MAIN LANDING GEAR(SEE SECTION 7.4)
NOTES: � H44.5 x 16.5–21, 26 PR TIRES� TIRE PRESSURE CONSTANT AT 200 PSI (14.1 KG/CM )2
NOTE:
OCTOBER 20027–14
MDC K9099
7.8 Rigid Pavement Requirements, LCN Conversion
To determine the airplane weight that can be accommodated on a particular rigid airport pavement, boththe LCN of the pavement and the radius of relative stiffness must be known.
In the example shown in section 7.8.2, the rigid pavement radius of relative stiffness is 35 inches and theLCN is 70. For these conditions, the weight on the main landing gear is 115,000 pounds.
Note: If the resulting aircraft LCN is not more than 10 percent above the published pavement LCN, thebearing strength of the pavement can be considered sufficient for unlimited use by the airplane. Thefigure of 10 percent has been chosen as representing the lowest degree of variation in LCN which issignificant. (Reference: ICAO Aerodrome Design Manual, Part 2, “Aerodrome Physical Characteristics,”Chpt. 4, Para. 4.1.5.7v, 2nd Edition, 1965.)
7–15OCTOBER 2002
MDC K9099
7.8.1 RADIUS OF RELATIVE STIFFNESS(REFERENCE: PORTLAND CEMENT ASSOCIATION)
RADIUS OF RELATIVE STIFFNESS ( )VALUES IN INCHES
WHERE: E = YOUNG’S MODULUS = 4 x 106 PSIk = SUBGRADE MODULUS, LB/IN.3d = RIGID-PAVEMENT THICKNESS, IN.µ = POISSON’S RATIO = 0.15
6.06.57.07.5
8.08.59.09.5
10.010.511.011.5
12.012.513.013.5
14.014.515.015.5
16.016.517.017.5
18.019.020.021.0
22.023.024.025.0
31.4833.4335.3437.22
39.0640.8842.6744.43
46.1847.9049.6051.28
52.9454.5956.2257.83
59.4361.0262.5964.15
65.6967.2368.7570.26
71.7674.7377.6680.55
83.4186.2489.0491.81
26.4728.1129.7231.29
32.8534.3735.8837.36
38.8340.2841.7143.12
44.5245.9047.2748.63
49.9851.3152.6353.94
55.2456.5357.8159.08
60.3462.8465.3067.74
70.1472.5274.8777.20
24.6326.1627.6529.12
30.5731.9933.3934.77
36.1437.4838.8140.13
41.4342.7243.9945.26
46.5147.7548.9850.20
51.4152.6153.8054.98
56.1658.4860.7763.04
65.2867.4969.6871.84
22.2623.6424.9926.32
27.6228.9130.1731.42
32.6533.8735.0736.26
37.4438.6039.7540.89
42.0243.1544.2645.36
46.4547.5448.6149.68
50.7452.8454.9156.96
58.9860.9862.9664.92
21.4222.7424.0425.32
26.5827.8129.0330.23
31.4232.5933.7534.89
36.0237.1438.2539.35
40.4441.5142.5843.64
44.7045.7446.7747.80
48.8250.8452.8454.81
56.7558.6860.5862.46
20.7222.0023.2524.49
25.7026.9028.0829.24
30.3931.5232.6433.74
34.8435.9236.9938.06
39.1140.1541.1942.21
43.2344.2445.2446.23
47.2249.1751.1053.01
54.8956.7558.5960.41
19.5920.8021.9923.16
24.3125.4426.5527.65
28.7429.8130.8731.91
32.9533.9734.9935.99
36.9937.9738.9539.92
40.8841.8442.7843.72
44.6646.5148.3350.13
51.9153.6755.4157.14
19.1320.3121.4722.61
23.7424.8425.9327.00
28.0629.1130.1431.16
32.1733.1734.1635.14
36.1237.0838.0338.98
39.9240.8541.7842.70
43.6145.4147.1948.95
50.6952.4154.1155.79
23.3024.7426.1527.54
28.9130.2531.5832.89
34.1735.4536.7137.95
39.1840.4041.6142.80
43.9845.1646.3247.47
48.6249.7550.8852.00
53.1155.3157.4759.62
61.7363.8365.9067.95
29.3031.1132.8934.63
36.3538.0439.7141.35
42.9744.5746.1647.72
49.2750.8052.3253.82
55.3156.7858.2559.70
61.1362.5663.9865.38
66.7869.5472.2774.96
77.6380.2682.8685.44
d (IN.) k = 75 k = 100 k = 150 k = 200 k = 250 k = 300 k = 350 k = 400 k = 500 k = 550
�
4 Ed3=
12(1- µ2 )k424.1652 d 3
k= l
l
OCTOBER 20027–16
MDC K9099
7.8.
2 R
IGID
PAV
EMEN
T R
EQU
IREM
ENTS
, LC
N C
ON
VER
SIO
NM
OD
EL M
D-9
0-30
LOA
D C
LASS
IFIC
ATI
ON
NU
MB
ER (L
CN
)
(CEN
TIM
ETER
S)R
AD
IUM
OF
REL
ATI
VE S
TIFF
NES
S ( l
)200
8010
0
4030
12050
6070
80
150
20
6050
102030405060708090100
EQUIVALENT SINGLE WHEEL LOAD (1,000 LB)
NO
TE:
EQU
IVA
LEN
T SI
NG
LE W
HEE
L LO
AD
S A
RE
DER
IVED
BY
MET
HO
DS
SHO
WN
IN IC
AO
AER
OD
RO
ME
MA
NU
AL,
PA
RT
2, P
AR
A. 4
.1.3
.
4030
5060
7080
100
90
510203040
EQUIVALENT SINGLE WHEEL LOAD (1,000 KG)
• H44
.5 x
16.
5-21
, 26
PR T
IRES
• TIR
E PR
ESSU
RE
CO
NST
RA
INT
AT
200
PSI
WEI
GH
T O
NM
AIN
LA
ND
ING
GEA
R(S
EE S
ECTI
ON
7.4
)
LB(K
G)
151,
500
140,
000
120,
000
100,
000
80,0
00
(68,
720)
(63,
500)
(54,
400)
(45,
400)
(36,
300)
INC
HES
MA
XIM
UM
PO
SSIB
LE M
AIN
GEA
RLO
AD
AT
MA
XIM
UM
DES
IGN
TA
XIW
EIG
HT
AN
D A
FT C
.G.
7–17OCTOBER 2002
MDC K9099
7.8.3 Radius of Relative Stiffness (Other values of E and l )
The chart of Section 7.8.1 presents l -values based on Young's modulus (E) of 4,000,000 psi and Poisson's ratio (µ of 0.15). For convenience in finding l -values based on other values of E and µ, the curves of Section 7.8 are included. For example, to find an l -value based on an E of 3,000,000 psi, the "E" factor of 0.931 is multiplied by the l -value found in the table of Section 7.8.1. The effect of variations of µ on the l -value is treated in a similar manner.
OCTOBER 20027–18
MDC K9099
7.8.4 EFFECT OF E AND µ ON l -VALUES
E, YOUNG’S MODULUS (10 , PSI)6
1.10
0
1.015
0 0.05 0.20 0.25
1.05
1.00
0.95
0.90
0.85
0.80
0
1.010
1.005
1.000
0.995
0
NOTE: BOTH CURVES ON THIS PAGE ARE USED TO ADJUST THE l -VALUESOF TABLE 7.8.1
FACTOR
E FACTOR
EFFECT OF E ON -VALUES
EFFECT OF µ ON -VALUES
1 2 3 4 5
l
l
µ
µ POISSON'S RATIO
7–19OCTOBER 2002
MDC K9099
7.9 ACN-PCN Reporting System: Flexible and Rigid Pavements
To determine the ACN of an aircraft on flexible or rigid pavement, both the aircraft gross weight and the subgrade strength category must be known. As an example, referring to Section 7.9.1, for an aircraft gross weight of 130,000 pounds and low subgrade strength, the ACN for flexible pavement is 39. Referring to Section 7.9.3, for the same gross weight and subgrade strength, the ACN for rigid pavement is 43.
Note: An aircraft with an ACN equal to or less than the reported PCN can operate on the pavement subject to any limitations on the tire pressure. (Reference: ICAO Annex 14, “Aerodromes,” 3rd Edition, July 1999.)
The following table provides ACN data in tabular format similar to the one used by ICAO in the "Aerodrome Design Manual Part 3, Pavements".
ACN FOR RIGID PAVEMENT SUBBRADES -- MN/m 3
ACN FOR FLEXIBLE PAVEMENT SUBGRADES -- CBR
AIRCRAFT TYPE
ALL-UP MASS/ OPERATING
MASS EMPTY LB (KG)
ON ONE MAIN GEAR LEG (%)
TIRE PRESSUREPSI (MPa)
HIGH 150
MEDIUM 80
LOW 40
ULTRA LOW
20
HIGH 15
MEDIUM 10
LOW 6
ULTRA LOW
3
157,000 (71,214)88,171 (39,994)
48.24 200 (1.4) 4925
5126
5327
5528
4221
4622
5024
5328
168,500 (76,430)89,059 (40,396)
46.98 193 (1.33) 5124
5325
5526
57 4420
4821
5224
5527
MD-90-30
27MD-90-30ER
OCTOBER 20027–20
MDC K9099
7.9.
1 A
IRC
RA
FT C
LASS
IFIC
ATIO
N N
UM
BER
-- F
LEXI
BLE
PAV
EMEN
T (1
57,0
00 L
BS)
MO
DEL
MD
-90-
30
(1,0
00 K
ILO
GR
AM
S)65
6055
5045
90
1010
011
012
013
014
015
016
0
AIR
PLA
NE
GR
OSS
WEI
GH
T, 1
,000
PO
UN
DS
NO
TES:
• A
CN
WA
S D
ETER
MIN
ED A
S R
EFER
ENC
ED
IN IC
AO
AN
NEX
14,
"A
ERO
DR
OM
ES,"
3R
D E
DIT
ION
, JU
LY 1
999
• TO
DET
ERM
INE
MA
IN-G
EAR
LO
AD
ING
,
SEE
SEC
TIO
N 7
.4
AIRPLANE CLASSIFICATION NUMBER (ACN)
2030405060
• H44
.5 x
16.
5-21
, 26
PR T
IRES
• TIR
E PR
ESSU
RE
CO
NST
RA
INT
AT
200
PSI (
14.1
KG
/CM
)N
OTE
S:
70
7–21OCTOBER 2002
(CB
R =
3)
(CB
R =
6)
(CB
R =
10)
(CB
R =
15)
SUB
GR
AD
E C
LASS
D -
ULT
RA
LO
WC
- LO
WB
- M
EDIU
MA
- H
IGH
2
MDC K9099
7.9.
2 A
IRC
RA
FT C
LASS
IFIC
ATIO
N N
UM
BER
-- F
LEXI
BLE
PAV
EMEN
T (1
68,5
00 L
BS)
M
OD
EL M
D-9
0-30
ER
AIR
PLA
NE
GR
OSS
WEI
GH
T, 1
,000
PO
UN
DS
• H44
.5 x
16.
5-21
, 26
PR T
IRES
• TIR
E PR
ESSU
RE
CO
NST
RA
INT
AT
193
PSI (
13.6
KG
/CM
)N
OTE
S:
OCTOBER 20027–22
170
9010
011
012
013
014
015
016
0102030405060 40
4565
AIRCRAFT CLASSIFICATION NUMBER (ACN)
5055
6070
75
2
NO
TES:
• A
CN
WA
S D
ETER
MIN
ED A
S R
EFER
ENC
ED
IN IC
AO
AN
NEX
14,
"A
ERO
DR
OM
ES,"
3
RD
ED
ITIO
N, J
ULY
199
9•
TO D
ETER
MIN
E M
AIN
-GEA
R L
OA
DIN
G,
S
EE S
ECTI
ON
7.4
• P
ERC
ENT
WEI
GH
T O
N M
AIN
LA
ND
ING
GEA
R:
93.9
6
(1,0
00 K
ILO
GR
AM
S)
(CB
R =
3)
(CB
R =
6)
(CB
R =
10)
(CB
R =
15)
SUB
GR
AD
E C
LASS
D -
ULT
RA
LO
WC
- LO
WB
- M
EDIU
MA
- H
IGH
MDC K9099
7.9.
3 A
IRC
RA
FT C
LASS
IFIC
ATIO
N N
UM
BER
-- R
IGID
PAV
EMEN
T (1
57,0
00 L
BS)
MO
DEL
MD
-90-
30
(1,0
00 K
ILO
GR
AM
S)
AIR
PLA
NE
GR
OSS
WEI
GH
T, 1
,000
PO
UN
DS
AIRPLANE CLASSIFICATION NUMBER (ACN)
NO
TES:
• A
CN
WA
S D
ETER
MIN
ED A
S R
EFER
ENC
ED
IN IC
AO
AN
NEX
14,
"A
ERO
DR
OM
ES,"
3
RD
ED
ITIO
N, J
ULY
199
9•
TO D
ETER
MIN
E M
AIN
-GEA
R L
OA
DIN
G,
S
EE S
ECTI
ON
7.4
10
90
2030405060
100
110
120
130
150
140
160
7065
6055
5045
(k =
75
)(k
= 1
50)
(k =
300
)(k
= 5
50)
SUB
GR
AD
E C
LASS
D -
ULT
RA
LO
WC
- LO
WB
- M
EDIU
MA
- H
IGH
NO
TES:
• H44
.5 x
16.
5-21
, 26
PR T
IRES
• TIR
E PR
ESSU
RE
CO
NST
RA
INT
AT
200
PSI (
14.1
KG
/CM
)2
OCTOBER 2002 7–23
MDC K9099
7.9.
4 A
IRC
RA
FT C
LASS
IFIC
ATIO
N N
UM
BER
-- R
IGID
PAV
EMEN
T (1
68,5
00 L
BS)
M
OD
EL M
D-9
0-30
ER
(1,0
00 K
ILO
GR
AM
S)
AIR
PLA
NE
GR
OSS
WEI
GH
T, 1
,000
PO
UN
DS
AIRPLANE CLASSIFICATION NUMBER (ACN)
NO
TES:
• H44
.5 x
16.
5-21
, 26
PR T
IRES
• TIR
E PR
ESSU
RE
CO
NST
RA
INT
AT
193
PSI (
13.6
KG
/CM
)2
OCTOBER 20027-24
170
9010
011
012
013
014
015
016
0102030405060 40
4565
5055
6070
75
SUB
GR
AD
E C
LASS
D -
ULT
RA
LO
WC
- LO
WB
- M
EDIU
MA
- H
IGH
(k =
75
)(k
= 1
50)
(k =
300
)(k
= 5
50)
NO
TES:
• AC
N W
AS D
ETER
MIN
ED A
S RE
FERE
NCED
IN
ICAO
ANN
EX 1
4, "
AERO
DRO
MES
,"
3RD
EDI
TIO
N, J
ULY
1999
• TO
DET
ERM
INE
MAI
N-G
EAR
LOAD
ING
,
SEE
SEC
TIO
N 7.
4•
PER
CENT
WEI
GHT
ON
MAI
N LA
NDIN
G
G
EAR:
93.
96
MDC K9099
7.9.5 Development of ACN Charts
The ACN charts for flexible and rigid pavements were developed by methods referenced in ICAO Annex 14, "Aerodromes," 3rd Edition, July 1999. The procedures used to develop these charts are also described below.
The following procedure is used to develop the flexible-pavement ACN charts such as that shown in Section 7.9.1:
1. Determine the percentage of weight on the main gear to be used below in Steps 2, 3, and 4, below. The maximum aft center-of-gravity position yields the critical loading on the critical gear (see Section 7.4). This center-of-gravity position is used to determine main gear loads at all gross weights of the model being considered.
2. Establish a flexible-pavement requirements chart using the S-77-1 design method, such as shown on the right side of Section 7.9.6. Use standard subgrade strengths of CBR 3, 6, 10, and 15 percent and 10,000 coverages. This chart provides the same thickness values as those of Section 7.5.1, but is presented here in a different format.
3. Determine reference thickness values from the pavement requirements chart of Step 2 for each standard subgrade strength and gear loading.
4. Enter the reference thickness values into the ACN flexible-pavement conversion chart shown on the left side of Figure 7.9.6 to determine ACN. This chart was developed using the S-77-1 design method with a single tire inflated to 1.25 MPa (181 psi) pressure and 10,000 coverages. The ACN is two times the derived single-wheel load expressed in thousands of kilograms. These values of ACN are then plotted as functions of aircraft gross weight, as shown in Section 7.9.1.
The following procedure is used to develop the rigid-pavement ACN charts such as that shown in Section 7.9.2:
1. Determine the percentage of weight on the main gear to be used in Steps 2, 3, and 4, below. The maximum aft center-of-gravity position yields the critical loading on the critical gear (see Section 7.4). This center-of-gravity position is used to determinemain gear loads at all gross weights of the model being considered.
.
2. Establish a rigid-pavement requirements chart using the PCA computer program PDILB, such as shown on the right side of Section 7.9.7. Use standard subgrade strengths of k = 75, 150, 300, and 550 lb/in. (nominal values for k = 20, 40, 80, and 15 MN/M ). This chart provides the same thickness values as those of Section 7.7.1.
3
7–25OCTOBER 2002
3
MDC K9099
3 Determine reference thickness values from the pavement requirements chart of Step 2 foreach standard subgrade strength and gear loading at 400 psi working stress (nominal valuefor 2.75 MPa working stress).
4. Enter the reference thickness values into the ACN rigid-pavement conversion chart shown onthe left side of Section 7.9.7 to determine ACN. This chart was developed using the PCAcomputer program PDILB with a single tire inflated to 1.25 MPa (181 psi) pressure and aworking stress of 2.75 MPa (400 psi.) The ACN is two times the derived single-wheel loadexpressed in thousands of kilograms. These values of ACN were plotted as functions ofaircraft gross weight, as already shown in Section 7.9.2.
OCTOBER 20027–26
MDC K9099
7.9.
6 D
EVEL
OPM
ENT
OF
AIR
CR
AFT
CLA
SSIF
ICAT
ION
NU
MB
ER (A
CN
) - F
LEXI
BLE
PAV
EMEN
TM
OD
EL M
D-9
0-30
ALLOWABLE WORKING STRESS (PSI)
REFERENCE THICKNESS, INCHES
AIR
CR
AFT
CLA
SSIF
ICA
TIO
N N
UM
BER
(AC
N)
1520
3040
500 10 20 20 40 50
AC
N F
LEXI
BLE
PA
VEM
ENT
CO
NVE
RSI
ON
CH
AR
T
CBR 3
CBR
6
CBR
10
CBR
15
NO
TES:
• H44
.5 x
16.
5-21
, 26
PR T
IRES
• TIR
E PR
ESSU
RE
CO
NST
RA
INT
AT
200
PSI (
14.1
KG
/CM
)2
MA
XIM
UM
PO
SSIB
LE M
AIN
GEA
R L
OA
D A
TM
AX
DES
IGN
TA
XI W
EIG
HT
AN
D A
FT C
.G.
WEI
GH
T O
N M
AIN
LA
ND
ING
GEA
R(S
EE S
ECTI
ON
7.4
)
(68,
720)
(63,
500)
(54,
400)
(45,
400)
(36,
300)
151,
500
140,
000
120,
000
100,
000
80,0
00
LB(K
G)
0 10 20 30 40 503
610
15
FLEX
IBLE
PA
VEM
ENT
REQ
UIR
EMEN
TS C
HA
RT
10,0
00 C
OVE
RA
GES
S-77
-1 D
ESIG
N M
ETH
OD
SUB
GR
AD
E ST
REN
GTH
, CB
R
7–27OCTOBER 2002
MDC K9099
7.9.
7 D
EVEL
OPM
ENT
OF
AIR
CR
AFT
CLA
SSIF
ICAT
ION
NU
MB
ER (A
CN
) - R
IGID
PAV
EMEN
TM
OD
EL M
D-9
0-30
AIR
CR
AFT
CLA
SSIF
ICA
TIO
N N
UM
BER
(AC
N)
NO
TES:
• H44
.5 x
16.
5-21
, 26
PR T
IRES
• TIR
E PR
ESSU
RE
CO
NST
RA
INT
AT
200
PSI (
14.1
KG
/CM
2 )80
6040
200
2020
1818
1616
1414
1212
1010
88
66
900
800
700
600
500
400
300
200
ALLOWABLE WORKING STRESS (PSI)
REFERENCE THICKNESS, INCHES
AC
N R
IGID
PA
VEM
ENT
CO
NVE
RSI
ON
CH
AR
T
MA
XIM
UM
PO
SSIB
LE M
AIN
GEA
R L
OA
D A
TM
AX
DES
IGN
TA
XI W
EIG
HT
AN
D A
FT C
.G.
RIG
ID P
AVE
MEN
TR
EQU
IREM
ENTS
CH
AR
TPC
A P
RO
GR
AM
PD
LB
WEI
GH
T O
N M
AIN
LA
ND
ING
GEA
R(S
EE S
ECTI
ON
7.4
)
(68,
720)
(63,
500)
(54,
400)
(45,
400)
(36,
300)
151,
500
140,
000
120,
000
100,
000
80,0
00
LB(K
G)
k =
75
k =
150
k =
300
k =
550
k =
75
k =
150
k =
300
k =
550
OCTOBER 20027–28