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Calculate Reinforcement For The Stem Of A Concrete Cantilever Retaining Wall:

Calculation:
Designer/Checker:

Input:

(Note: All input Metric units are converted to English units for the equations below and then the output English units are converted back to Metric)

Yield strength of the steel reinforcement, (fy - ksi or kPa)
(Use 40 ksi for Grade 40 or 48 ksi for Grade 60)
Concrete compressive strength, (f'c- psi or kPa)
Distance to the horizontal resultant (D - ft or m)
Horizontal soil resultant on the wall (Rh - kip/ft or N/m)
Width of base of stem (h - in or cm)
Distance from outside face of concrete to center of steel (Cvr - in or cm)
Distance to the soil surcharge resultant (Dss - ft or m)
Horizontal resultant from soil surcharge (Rss - kip/ft or N/m)
Height of the Stem (Hs - ft or m)

Output:

b = 12 in; depth to steel d = h - Cvr ; Default is 4.5 inches to center of bar from outside face which conservatively meets ACI minimum cover requirements.
ku = 1 - (1 - (Mu/0.9)/(0.425f'cbd^2))^0.5
As = 0.85(f'c)(ku)(b)(d)/fy
Shear capacity, 0.85Vc = 0.85(2)(f'c^0.5)bdv must be greater than shear, Vu = 1.9V
Ratio of stress block depth to effective depth, ku =
Area of steel required, As =
Shear capacity, 0.85Vc =
Shear force at distance d on stem, Vu =

Minimum reinforcement ratio, pmin = 200/fy =
Maximum reinforcement ratio, pmax = 0.25(0.85f'c/fy)(0.85)(0.003/(0.3 + fy/29000 ksi)) =
Reinforcement ratio, p = As/bd =
If pmin < p < pmax then ductility adequate.
Temperature shrinkage reinforcement, Astemp = 0.0018bh =

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