Cantilever or Restrained Retaining Wall Calculations
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1 Cantilever or Restrained Retaining Wall Calculations Organization: F.E.C. Project Name: Example Report Design by: LAA Job #: 9876 Date: 10/21/2013 Codes used: 2010 & 2013 CBC, 2009 & 2012 IBC, ACI & , ACI
2 Input Parameters General Data Number of stem sections 2 Top Restrained No Concrete Unit Weight 150 pcf Rebar Strength (Fy) ksi Backfill Soils Friction Angle degrees Slope Backfill Angle degrees Unit Weight pcf Allow Bear. Capacity 3500 psf Uniform Vert. Surcharge 80.0 psf Wall Height (Stem+Foot.) ft Seismic Kh 0.22 g Overconsol. Ratio (OCR) 1.50 Passive Soils Soil Coheson psf Unit Weight pcf Passive Friction Angle degrees Ignore Passive Ht ft Passive Slope Angle degrees Passive F.S Stem Section Design - Top Stem Type Masonry Masonry Strength (f'm) 1.80 ksi Height 4.00 ft Section Size 6 in Axial Live Load 700 lb/ft Axial Dead Load 1100 lb/ft Reinforcement Vert. Bar Size #5 2.0 in Vert. Spacing 8.0 in Hor. Bar Size #5 Exposed Side Spacing Stem Section Design - Bottom Stem Type Concrete Concrete Strength (f'c) 3.00 ksi Height 6.00 ft Stem Width in Reinforcement Vert. Bar Size #5 3.0 in Vert. Spacing 6.0 in Hor. Bar Size #5 Exposed Side Spacing Lateral and Surcharge Loads Additional Lat. Load Height From Stem Top Stem + Footing Height Surcharge Influence (Is) Strip Load (Qs) Dist. to Load Begin (x1) Dist. to Load End (x2) Line Load (Ql) Dist. to Line Load (x) Point Load (Qp) Dist. to Point Load (x) lb/ft 7.00 ft ft ft 0.25 ksf ft ft 0.33 kips/ft 9.33 ft 1.67 kips ft Base Shear Keyway Distance from Toe 4.83 ft Keyway Embedment 1.50 ft Keyway Width 1.00 ft Keyway Vert. Bar #5 Vert. Bar Spacing 1.5 in Heel Reinforcement Rebar Size #5 Rebar Spacing 2.0 in Toe Reinforcement Rebar Size #5 Rebar Spacing 3.0 in Shrinkage and Temperature Reinforcement S & T Rebar Size #4 Number of rebars 6 Rebar Spacing 17.6 in Max. spacing is 18.0 in Footing Settlement Poisson's ratio 0.30 Elastic Soil Modulus psf Vert. Subgrade Modulus 150 ton/ft^3 Footing Dimensions Heel Width Stem Width Bottom Toe Width Footing Thickness Tot. Footing Width Footing Soil Cover Concrete Strength (f'c) Sliding Restraint at the Toe 2.75 ft 0.83 ft 4.25 ft 1.25 ft 7.83 ft 0.50 ft 3.50 ksi No 2
3 Analysis and Design Results Earth Pressures Active Earth Pressure Coeff Passive Resistance Coeff Earth Press. - Horiz. Comp lb Earth Press. - Vert. Comp lb Uniform Surcharge Comp lb Passive Resist. Comp lb Equiv. Fluid Pressure Active 35.4 psf/ft Equiv. Fluid Resistance Passive psf/ft Seismic Pressure Component lb Sliding Friction Coefficient 0.36 Retaining Wall Stability Overturning F.S. Results Overturning Moment lb-ft Resisting Moment lb-ft F.S. against Overturning 3.07 Sliding F.S. Results Sliding Force lb Resisting Force lb F.S. against Sliding 2.24 Footing Pressures Resultant Loc. from Toe 3.04 ft Resultant in middle third Toe Bearing Pressure 2575 psf Heel Bearing Pressure 533 psf Max. Bearing Pressure 2575 psf Lateral and Surcharge Loads Additional Lateral Load Height From Stem Top Strip Load Thrust Strip Resultant Line Load Thrust Line Resultant Point Load Thrust Point Resultant Total Lateral Thrust Total Resultant from Stem Top lb/ft 7.00 ft lb/ft 6.61 ft lb/ft 6.10 ft lb/ft 7.16 ft lb/ft 6.63 ft Footing Settlement Average Bearing Pressure 1996 psf Distortion Settlement 0.40 in Consolidation Settlement 0.48 in Total Settlement 0.88 in Settlement OK Stronger soil over weaker layer or vice-versa are not considered Stem Sections - Top Flexure Moment Demand (Mu) 1147 lb-ft 5242 lb-ft Moment Capacity (PhiMn) Rho Min. Vertical Actual Rho Vertical Vert. Steel Rebar Used 8.0 Area of Steel - Vertical Rho Min. Horizontal Actual Rho Horizontal Horiz. Steel Rebar Used 12.0 Area of Steel - Horizontal Shear Shear Demand (Vu) Shear Capacity (PhiVc) Stem Sections - Bottom Flexure Moment Demand (Mu) 0.46 in^ in^2 781 lb 5710 lb lb-ft lb-ft Moment Capacity (PhiMn) Rho Min. Vertical Actual Rho Vertical Vert. Steel Rebar Used 6.0 Area of Steel - Vertical Rho Min. Horizontal Actual Rho Horizontal Horiz. Steel Rebar Used 12.0 Area of Steel - Horizontal Shear Shear Demand (Vu) Shear Capacity (PhiVc) Heel Design Flexure Moment Demand (Mu) 0.62 in^ in^ lb 6593 lb 5496 lb-ft lb-ft Moment Capacity (PhiMn) Rho Min. Heel Rho Max. Heel Actual Rho Used Heel Steel Used 12.0 Heel Area of Steel Shear Shear Demand (Vu) Shear Capacity (PhiVn) Toe Design Flexure Moment Demand (Mu) 0.31 in^ lb lb lb-ft lb-ft Moment Capacity (PhiMn) Rho Min. Toe Rho Max. Toe Actual Rho Used Toe Steel Used 12.0 Toe Area of Steel Shear Shear Demand (Vu) Shear Capacity (PhiVn) 0.31 in^ lb lb 3
4 Stem - Top of Footing Shear Key Bearing Stress (10% f'c) Pure Shear Stress Required Key Width Required Key Depth Global Stability Req. Cohesion for Toe Circle Req. Cohesion for Base Circle 350 psi 101 psi 2.0 in 0.7 in psf psf Stem Wall Deflection Deflection Req. for Active State Approx. top of Stem Deflection 0.14 in 0.08 in Deflection OK Design for K between Active and At Rest values Only valid for Cohesive Soils, not a comprehensive Slope Stability Analysis 4
5 Table of Test Results - Stem Forces Node # Stem Ht, Soil Press, Vu, phivn, Mu, phimn, inch psf lb lb lb-ft lb-ft
6 Table of Test Results - Backfill Surcharge Output Node # Vert. Height, Strip Load Pr, Line Load Pr, Point Load Pr. Radial Dist Point Load ft ksf ksf (Vert), ksf (Point), ft (Hor), kips
7 Surcharges SoilStructure.com SoilStructure Retaining Wall v2.0 7
8 P-M Diagrams SoilStructure.com SoilStructure Retaining Wall v2.0 8
9 Stem Forces References: 1. ACI : Building Code and Commentary IBC: International Building Code 3. Reinforced Concrete Fundamentals, 5th ed. Ferguson, Breen, & Jirsa, 1988, Wiley 4. Soil Mechanics : Principles and Applications Perloff and Baron, 1976, Ronald Press 5. The Design and Construction of Engineering Foundations, 2nd ed, F.D.C. Henry, 1986, Chapman and Hall 6. Geotechnical Engineering: Foundation Design John Cernica, 1995, Wiley 7. Foundation Analysis & Design, 1988, 4th Ed. J.E. Bowles, McGraw-Hill 8. SoilStructure Software : Retaining Wall v2.0 SoilStructure.com SoilStructure Retaining Wall v2.0 9
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