BẢNG TÍNH CỐNG HỘP THEO AASHTO

BẢNG TÍNH CỐNG HỘP THEO AASHTO BẰNG EXCEL. BẢNG TÍNH CỐNG HỘP THEO AASHTO BẰNG EXCEL. BẢNG TÍNH CỐNG HỘP THEO AASHTO BẰNG EXCEL. BẢNG TÍNH CỐNG HỘP THEO AASHTO BẰNG EXCEL. BẢNG TÍNH CỐNG HỘP THEO AASHTO BẰNG EXCEL. BẢNG TÍNH CỐNG HỘP THEO AASHTO BẰNG EXCEL. BẢNG TÍNH CỐNG HỘP THEO AASHTO BẰNG EXCEL. BẢNG TÍNH CỐNG HỘP THEO AASHTO BẰNG EXCEL. BẢNG TÍNH CỐNG HỘP THEO AASHTO BẰNG EXCEL. BẢNG TÍNH CỐNG HỘP THEO AASHTO BẰNG EXCEL. BẢNG TÍNH CỐNG HỘP THEO AASHTO BẰNG EXCEL. BẢNG TÍNH CỐNG HỘP THEO AASHTO BẰNG EXCEL.

BOX CULVERT CALCULATION SHEET 44 1.General 30 400 30 400 30 400 30 400 30 30 460 400 30 30 30 1750 Culvert section along traffice direction - Station : - Dimension (m): - Road surface Width (m): - Design standard: - Live load : - Unit : x (4 x 4) 22TCN-272-05 x HL93 Si - Skew (deg) - Width of culvert (m) Material property 2.1 Concrete f'c = - Compresive strength of cylindrical at 28 days: γc = - Concrete density Ec= 0.043*gc^1.5*sqrt(f'c) = - Elastic modulus fr = 0.63*sqrt(f'c) = - Tensile strength of concrete: 2.2 Steel ES = - Elastic module of steel : fy = - Liquid limit: 2.2 Pavement and backfill - Thickness of pavement t= γs= - Unit weight of water γs= - Unit weight of soil γas = - Seftweight of Pavement φ'f = - Intenal friction angle of soil - Friction angle between soil and wall δ = 30 24.5 28561.32 3.45 200000 420 0.16 10 18 22 30 11 MPa KN/m N/mm2 N/mm N/mm2 N/mm2 m KN/m3 KN/m KN/m3 deg deg (table 3.11.5.3-1) Page: 76 Page: 77 Page: 78 Page: 79 Page: 80 Page: 81 Dimention of Box culvert Cells Wearing Surface Heigth : Vertical Depth (a) 16.0 cm 44 cm Cell Clear Width [1,2,3,4] in direction parallel with traffic (1) 400.0 400.0 (2) 400.0 400.0 Exterior Wall thickness (5) 30.0 cm Interior Wall thickness (6) 30.0 cm Bottom Slab Height (7) 30.0 cm Top Slab Height (8) 30.0 cm Cell Clear Height (9) 400.0 cm Gusset Edge Length (10) 30.0 cm (3) 400.0 400.0 (4) 400.0 400.0 Height of water: cm cm 300.0 10Ф28/10 Ф14/15 Ф14/15 Ф14/15 7Ф28/15 7Ф20/15 7Ф20/15 10Ф25/10 7Ф20/15 10Ф32/10 Ф14/15 10Ф22/10 Parameters H (cm) : B (cm) : Cover (cm) : D' (mm) : As.min (cm2) : (article 5.7.3.3.2) As.max (cm2): (article 5.7.3.3.2) Top Slab Bottom Slab Exterior wall Interior wall 100.0 100.0 100.0 100.0 25.0 25.0 25.0 25.0 6.4 6.4 6.4 6.4 50.6 50.6 50.6 50.6 30.0 5.0 Top Renf Ф28 Select Bar mm : Select Spc cm : 10 Selected As cm2 : 61.58 Bars Pattern : 10Ф28/10 Select Bar mm : Select Spc cm : Tranverse bars 30.0 30.0 5.0 30.0 5.0 5.0 Bottom Renf Top Renf Bottom Renf Top Renf Bottom Renf Top Renf 15 10 10 10 15 15 Ф28 43.10 7Ф28/15 Tranverse bar Ф14 15 Ф14/15 Ф32 80.42 10Ф32/10 Ф22 38.01 10Ф22/10 Tranverse bar Ф14 15 Ф14/15 Ф25 Ф20 49.09 21.99 10Ф25/10 7Ф20/15 Tranverse bar Ф14 15 Ф14/15 Ф20 Bottom Renf Ф20 15 21.99 21.99 7Ф20/15 7Ф20/15 Tranverse bar Ф14 15 Ф14/15 Loading live load eh ev ls 4.1 Dead load Top Slab Weight : Bottom Slab Weight : Exterior Wall Weight : Interior Wall Weight : 7.85 7.85 29.40 29.40 4.1.1 Vertical earth pressure (EV) • The factor of vertical earth pressure 0.6 Thick of cover Covering (h3) 0.16 m 0.44 m Wearing Surface Load Backfill kN/m kN/m kN kN (A12.11.2.2) → Vertical earth pressure on top slab of culvert → Fe γs eh Fe = MIN(1+0.2*h3/W,1.15) = 1.01 EV = Fe.γs.h EV (Kn/m) 3.54 7.97 (Kn/m ) 22.00 18.00 4.1.2 Horizontal earth pressure (EH) - Basic earth pressure shall be assumed to be linearly proportional to the depth of earth and taken as In which: Ph = Ka*γs*Z (3.11.5.1-1) Ph : horizontal earth pressure at the depth of Z (kN/m) + Lateral earth pressure applied on the plate as figure Ph = Ka*γs*h3 in which: Ground level Slab2 Ph2 = Ka*γs*(H+h3) - Ph : Horizontal earth pressure (kN/m) - γs : Density of soil (kN/m3) γs = 18 - ϕ : Angle of internal friction ϕ= 30 deg - h3 : filling height from top of box culvert (m) #REF! - H : Total height of box culvert (m) 4.3 - Ka : active earth pressure coefficient (3.11.5.3 - 22TCN 272-05) Ka in which: Ph1 sin ( θ φ) Γ sin θ sin( θ Γ δ) sin ( φ sin ( θ ka 0.31 γs (kN/m3) 18 Vertical Water Load (5) : Horizontal Water Load, Top (7) : Horizontal Water Load, Bottom (7) : 30.00 0.00 0.00 0.60 m 4.1.3 Water effect H Ph2 β ) sin ( φ δ ) sin ( θ δ) β) 11 90 30 2.49 0.31 β: Angle of surface (deg) δ: Friction angle between soil and wall (deg) θ: Angle between wall and vertical (deg) φ Intenal friction angle of soil ⇒ Γ= ⇒ Ka Covering h3 Ph1 (kN/m) 3.31 Ph2 (kN/m) 27.06 kN/m kN/m kN/m Page: 76 4.2 Live load - Where the depth of fill is less than 600mm, the effect of fill on the distribution of live load shall be neglected • The uniformly distribution of wheel where covering depth >= 600 mm detemined follow A 3.6.1.2.6 • Impact load detemined follow A 3.6.2.2 • Where the depth of fill exceeds 600 mm, wheel loads may be consided to be uniformly distributed over rectangular area with sides equal to the dimension of the tire contact area as A 3.6.1.2.5, and increased by either 1.15 times the depth of the fill in select granular backfill, or the depth of the fill in all other cases • For single span culverts, the effects of live load may be neglected where the depth of fill is >= 2400mm and exceeds the span length • For multiple span culverts, the effects of live load may be neglected where the depth of fill exceeds the distance between faces of end walls • Where such areas from several wheels overlap, the total load shall be uniformly distributed over the area • The dynamic load allowance for culverts shall be taken as: IM= 33*( 1.0 - 4.1x10-4.De ) ( 3.6.2.2.1 ) • Design truck: - Estimate for impact factor and distributed area of wheel Covering Wheel load IM (m) (Kn) (%) 0.6 72.5 24.88 B (mm) 510 L (mm) 181 Be (mm) 1134 Le (mm) 805 Distribution of wheel load for lane Wheel load of Truck : 01 lane (lane number, Lane factor & IM factor should be applied) Distribution of wheel load for lane 1800 1200 1800 Wheel load of Truck : 02 lane (lane number, Lane factor & IM factor should be applied) → Number of lane lane lane Distributed wheel load of trucks B L (mm) (mm) 1134 805 1134 805 Truck is consider as concentrated load Lltruck (kN/m) 79.46 79.46 Page: 77 • Tandem: Covering (m) 0.6 Wheel load (Kn) 55 IM (%) 24.88 B (mm) 510 L (mm) 137 Distribution of wheel load of Tandem for lane Be (mm) 1134 Le (mm) 761 1200 Wheel load of Tandem: 01 Lane (lane number, Lane factor & IM factor should be applied) Distribution of wheel load of Tandem for lane 1800 1200 1800 Wheel load of Tandem: 02 Lane (lane number, Lane factor & IM factor should be applied) → Number of lane lane lane Distributed wheel load of Tandem Lltruck B L (mm) (mm) (kN/m) 1134 761 63.73 1134 761 63.73 Consider as concentrated load • Lane load - Lane load distributed on m 3.100 kN/m2 The equivalent strip widths for Liveload on box culvert (A4.6.2.3) 0.5 E1lane = 250 + 0.42 (L1W1) - For one Lane: In which: - L1: Modified span length - W1: Modified edge-to-edge width of culvert - For multi Lane: → E1lane Emultilane = 2100 + 0.12 (L1W1)0.5 ≤ W/NL - W: Physical edge-to-edge width ofculvert - NL: Number of lanes = = = 4300.00 mm 8000.00 mm 2713.36 mm = = 8000.00 mm → Emultilane = 2803.82 mm Es = 2713.36 mm The width of interior equivalent strip 4.2.1 Surcharge load (LS) -Where a surcharge load is present, a constant horizontal earth pressure shall be added to the basic earth pressure This constant earth pressure may be taken as ∆P = k.γs.heq (3.11.6.1-1) Where: k= active coefficient of earth pressure density of soil (kN/m3) γs = heq = → heq = → ∆p = height of soil equivalent to design truck (m) Determine from table 3.11.6.2-1, 22TCN 272-05 Depend on the height of wall: 4.300 m 1.009 m 5.574 kN/m2 Page: 78 4.3 Load combination Load combination and load combination factor shall be taken as Table 3.4.1-1 Table of load combination factor State Dead load of structural Dead load of wearing Vertical earth pressure Horizontal earth pressure Water load Live load surcharge Live load Mark Str I-A Str I-B Str I-C Str III-A Str III-B Str III-C Service I DC 1.25 1.25 0.90 1.25 1.25 0.90 1.00 DW 1.50 1.50 0.65 1.50 1.50 0.65 1.00 EV 1.30 1.30 0.90 1.30 1.30 0.90 1.00 EH 1.50 0.90 1.50 1.50 0.90 1.50 1.00 WA 1.00 1.00 1.00 1.00 1.00 1.00 1.00 LS 1.75 1.75 1.75 1.35 1.35 1.35 1.00 1.75 1.75 1.75 1.35 1.35 1.35 1.00 LL Table of load combination on a unit length of culvert (kN/m) State Mark Str I-A Str I-B Str I-C Str III-A Str III-B Str III-C Service I DC 26.64 26.64 19.18 26.64 26.64 19.18 21.31 Top Slab Weight DC 26.64 26.64 19.18 26.64 26.64 19.18 21.31 Bottom Slab Weight EV 28.13 28.13 19.47 28.13 28.13 19.47 21.64 Vertical earth pressure DW 14.42 14.42 6.25 14.42 14.42 6.25 9.62 Dead load of wearing WA 81.40 81.40 81.40 81.40 81.40 81.40 81.40 Vertical Water Load WA 0.00 0.00 0.00 0.00 0.00 0.00 0.00 Horizontal Water Load (bottom) EH 13.49 8.09 13.49 13.49 8.09 13.49 8.99 Horizontal earth pressure at top 96.65 57.99 96.65 64.43 Increase Hor earth pressure at bot EH 96.65 57.99 96.65 LS 26.47 26.47 26.47 20.42 20.42 20.42 15.12 Live load surcharge Load Vertical Effect 11.36 11.36 11.36 8.41 LL 14.72 14.72 14.72