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Design of Cantilevered Retaining WallsCE A433 RC DesignT. Bart Quimby, P.E., Ph.D.Spring 2009
IntroductionA cantilever retaining wall is a system of cantilever slabs (i.e. beams) that retain soil.The key is to draw the appropriate FBDs so that you can determine the internal forces.
Cantilever Retaining WallShear KeyToeStemHeel
Forces ACTING ON the WallWallFootingShear KeySoil on ToeSoil on HeelActive Lateral Soil Pressure
ReactionsPassive Lateral Soil PressureVertical ReactionFrictionACTUAL FRICTION is not the same as FRICTION CAPACITY!
Computing Soil Bearing StressResolve applied forces into a concentric vertical force and moment on the contact area.Ix = bL3/12A = bLc = L/2smax = P/A + Mc/Ixsmin = P/A Mc/IxPM
SlidingDriving ForceResisting CapacityVslide = Driving Force = DemandVresist = sum(Resisting Forces) = CapacityFS = Vresist / VslideDesign for FS > 1.5Friction CAPACITY = m NNot Actual Friction Reaction
OverturningDriving ForcePoint of RotationResisting ForcesMOT = Driving Force*arm = DemandMROT = sum(Resisting Moments) = CapacityFS = MROT / MOTDesign for FS > 2.0
Draw FBDsStemToeHeel
Stem DiagramsFBDShearMomentDemandCapacityDemandCapacityMake stem thick enough for shearSelect Steel to provide flexural capacityAdd T&S Steel
ToeShearMomentDesign ShearDesign MomentVu can be calculated a distance d from face of wall since there is a compressive reaction with the wall.Mu is computed at the face of the wall.Flexural Steel extends a development length into the heel and should develop within the length of the toe.Add T&S Steel
HeelShearMomentDesign ShearDesign MomentVu must be calculated at the face of wall since there is a tensile reaction with the wall.Mu is computed at the face of the wall.Flexural Steel extends a development length into the toe and should develop within the length of the heel.Add T&S Steel
The Design ProcessSelect the overall dimensions (height, embedment, footing length and position, and estimated footing & wall thicknesses) based on stability (sliding and overturning) and soil strength (max/min bearing pressures) using service level loads.Check slab (wall and footing) thicknesses using shear criteria and factored loads. Adjust thicknesses as necessary, rechecking stability and soil strength of the values change.Select the flexural steel for the three cantilever slab elements using factored loads.Select the temperature and shrinkage steel for wall and footing.Draw the resulting wall cross section (to scale!)
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