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COMBINED FOOTING DESIGN PROGRAMME USING LIMIT STATE METHOD General information 300 260.87 Concrete grade = 25 20.00 11.33 1.04 = 781.41 = 390.71 250 3.00 18.00 0.30 0.30 Sizing the footing Footing group F6 272.00 440.00 Resultant force, R = 712.00 Distance b/n the two columns, x 1.00 = 0.62 Projection from the face of the ligh 0.60 Footing length L (m) = 2.74 Depth, D (m) 0.30 Effective depth, d (m) = D - 0.05 = 0.25 = 193.90 = 3.67 Footing width, W (m) = A/L = 1.34 = 213.35 = 381.35 = 387.90 = 693.36 = 79.32 = 317.29 Longitudinal reinforcement 136.00 N = 0.19 B = 1 -(1 - 2*N)^0.5 = 0.22 = ### = 416.67 20.00 314.29 = 134.50 = 754.29 Final Transverse reinforcement 44.51 N = 0.06 B = 1 -(1 - 2*N)^0.5 = 0.06 = 705.31 = 416.67 14.00 154.00 = 218.34 = 369.60 Final Take rho = rmin = 0.002 fyk = fyd= fyk/1.15 fck =concrete grade/1.25 = fcd= 0.85*fck/1.5 fctd = 0.21*((fck)^0.67)/1.5 = Allowable punching resistance of concrete, Vup(KPa) = 0.5fctd(1+50*rho) Allowable wide beam shear resistance of concrete, Vud (KN/m 2 ) = 0.25fctd(1+50*rho) Allowable bearing pressure, Pall (KPa) Foundation depth, fd (m) Unit weight of soil, γs (KN/m 3 ) Width of column 1, a1 (m) Width of column 2, a2 (m) Loads: P1 (lighter) and P2 (heavier) ( = P1 + P2 Centroid of the footing from P1, e = (P2 * x)/R = 2*(r + a1/2 + e) Net soil pressure, Pnet (KPa) = Pall-[D*γc+ (fd-D)*γs] Actual area, A(m 2 ) = R/Pnet Punching shear (column 1) Vp1 (kN) = P1-Pnet (a1+d)^2 Punching shear (column 2) Vp2 (kN) = P2-Pnet (a2+d)^2 Punching shear stress (column 1) Vps (KPa) = Vp1/(4(a1+d)*d) Punching shear stress (column 2) Vps (KPa) = Vp2/(4(a2+d)*d) Wide beam shear (column 2) Vw2 (KN) = P2-Pnet[(r+2e+(a1+a2)/2+d-x Wide beam shear stress (column 2) Vws = Vw2/(b*d) Design moment, Md (KN-m/m) = (Md*10^6/fcd*b*d^2) As = B*fcd*b*d/fyd Asmin = 0.5/fyk*b*d Diameter Φ (mm) Asing = 3.14*Φ^2/4 Spacing for As = Asing*1000/As Spacing for Asmin = Asing*1000/Asmin use Φ20 c/c 130 Design moment, Md (KN-m/m) = 0.5*(P2/(1*W)) ((W-a2)/2)^2 = (Md*10^6/fcd*b*d^2) As = B*fcd*b*d/fyd Asmin = 0.5/fyk*b*d Diameter Φ (mm) Asing = 3.14*Φ^2/4 Spacing for As = Asing*1000/As Spacing for Asmin = Asing*1000/Asmin use Φ14 c/c 200

Combined Footing Design

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Page 1: Combined Footing Design

COMBINED FOOTING DESIGN PROGRAMME USING LIMIT STATE METHOD

General information

300 260.87

Concrete grade = 25

20.00 11.33

1.04

= ###

= ###

250

3.00

18.00

0.30

0.30

Sizing the footing

Footing group F6

272.00 440.00

Resultant force, R = 712.00

Distance b/n the two columns, x 1.00

= 0.62

Projection from the face of the lighter co 0.60

Footing length L (m) = 2.74 Use 2.80m

Depth, D (m) 0.30

Effective depth, d (m) = D - 0.05 = 0.25

= 193.90

= 3.67

Footing width, W (m) = A/L = 1.34 Use 1.40m

= 213.35

= 381.35

= ###

= ###

= 79.32

= ###

Longitudinal reinforcement

136.00

N = 0.19

B = 1 -(1 - 2*N)^0.5 = 0.22

= ###

= 416.67

20.00

314.29

= 134.50

= 754.29

Final

Transverse reinforcement

44.51

N = 0.06B = 1 -(1 - 2*N)^0.5 = 0.06

= 705.31

= 416.67

14.00

154.00

= 218.34

= 369.60

Final

Take rho = rmin = 0.002

fyk = fyd= fyk/1.15

fck =concrete grade/1.25 = fcd= 0.85*fck/1.5

fctd = 0.21*((fck)^0.67)/1.5 = Allowable punching resistance of concrete, Vup(KPa) = 0.5fctd(1+50*rho)

Allowable wide beam shear resistance of concrete, Vud (KN/m2) = 0.25fctd(1+50*rho)

Allowable bearing pressure, Pall (KPa)

Foundation depth, fd (m)

Unit weight of soil, γs (KN/m3)

Width of column 1, a1 (m)

Width of column 2, a2 (m)

Loads: P1 (lighter) and P2 (heavier) (KN)

= P1 + P2

Centroid of the footing from P1, e = (P2 * x)/R

= 2*(r + a1/2 + e)

Net soil pressure, Pnet (KPa) = Pall-[D*γc+ (fd-D)*γs]

Actual area, A(m2) = R/Pnet

Punching shear (column 1) Vp1 (kN) = P1-Pnet (a1+d)^2

Punching shear (column 2) Vp2 (kN) = P2-Pnet (a2+d)^2 Punching shear stress (column 1) Vps (KPa)

= Vp1/(4(a1+d)*d) Punching shear stress (column 2) Vps (KPa)

= Vp2/(4(a2+d)*d)

Wide beam shear (column 2) Vw2 (KN) = P2-Pnet[(r+2e+(a1+a2)/2+d-x)W]

Wide beam shear stress (column 2) Vws (KPa) = Vw2/(b*d)

Design moment, Md (KN-m/m) = (Md*10^6/fcd*b*d^2)

As = B*fcd*b*d/fyd

Asmin = 0.5/fyk*b*d

Diameter Φ (mm)

Asing = 3.14*Φ^2/4

Spacing for As = Asing*1000/As

Spacing for Asmin = Asing*1000/Asmin

use Φ20 c/c 130

Design moment, Md (KN-m/m) = 0.5*(P2/(1*W)) ((W-a2)/2)^2 = (Md*10^6/fcd*b*d^2)

As = B*fcd*b*d/fyd

Asmin = 0.5/fyk*b*d

Diameter Φ (mm)

Asing = 3.14*Φ^2/4

Spacing for As = Asing*1000/As

Spacing for Asmin = Asing*1000/Asmin

use Φ14 c/c 200