Page 318 - Planning and Design of Airports
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276    Airp o r t  D e sign


                                   B–757
                             Contact area       = 168.35 sq. in.  Annual departures
                             Dual spacing       = 34.00 in.
                                                       1,200  6,000  25,000
                             Tandem spacing = 45.00 in.    3,000  15,000
                    900                                   22  23  24  26  26
                                        250,000 lb        21  22  23  25  25
                    850     500  300 200  100  K = 50 pci  225,000  200,000  150,000  20  21  22  24  24
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                  Concrete flexural strength, psi  750  175,000  125,000  17  18  19  20  20 Slab thickness, in
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                    800
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                    700
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                    650
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                    600
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                    550                                   11  11  12  12  13
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                                                              8     9  9
                                                          7      8  8
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                    500                                   6      7  7
                 FIGURE 7-8  Example design curve for estimating the slab thickness of rigid
                 pavement using Westergaard’s analysis.
                 these assumptions do not satisfy theory in a strict sense, the results
                 compared reasonably with observations. The Westergaard analysis
                 was used to evaluate stress in a pavement, as well as the deflection of
                 the slab. For airports, Westergaard developed formulas for stresses
                 and deflections in the interior of a slab and at an edge of a slab.
                    The U.S. Army Corps of Engineers applied Westergaard’s formu-
                 las toward the creation of approximation charts and design curves.
                 An example is illustrated in Fig. 7-8.
                    The arrow found in Fig. 7-8 illustrates an example rigid pavement
                 design analysis, considering the use of a PCC mixture of flexural strength
                          2
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                 of 660 lb/in , a subgrade with k value 100 lb/in , for a Boeing 757 design
                 aircraft with maximum gross weight of 175,000 lb and 6000 annual
                 equivalent departures, resulting in a design slab thickness of approx-
                 imately 12 in.
                 Finite Element Theory
                 Similar to flexible pavement design, FAARFIELD processes the user
                 defined fleet mix and E value of the subgrade to determine the thick-
                 ness requirements of the PCC surface. FAARFIELD recommends
                 default subbase layers at 6 in thickness. Multiple subbase layers are
                 recommended for certain subgrades with low E values. Figure 7-9
                 illustrates an example rigid pavement structure output from FAAR-
                 FIELD.
                    FAARFIELD applies finite element theory to estimate the thick-
                 ness of the PCC surface and any necessary subbase courses. Three-
                 dimensional finite element design theory (3D-FE) is similar to layered
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