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Foundation DesignIBC 2018/2021 Section 1807.2ACI 318-19 Sections 22.2, 22.5.5.1, and 9.5.1.1ASCE 7-22 Section 2.3.1

Cantilever Retaining Wall Design

Design of a cantilever reinforced-concrete retaining wall analyzed per 1-ft strip with level drained granular backfill (Rankine active pressure). Performs the geotechnical stability checks at service load — overturning, sliding (base friction, passive neglected), and bearing with the no-uplift check per IBC §1807.2 — then designs the structural elements at factored load: stem flexure and shear at the base, and heel and toe flexure and shear at the stem face per ACI 318-19. Fully customizable.

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What this calculates

Rankine active pressure coefficient, total lateral earth thrust and surcharge, resisting and overturning moments and the overturning factor of safety, driving and resisting forces and the sliding factor of safety, base bearing pressure distribution with the no-uplift check, and the factored stem/heel/toe moments, required reinforcement, and one-way shear demand-to-capacity ratios.

Inputs

Stem HeightH_stem[ft]

Retained soil height above top of base (stem cantilever)

Stem Thicknesst_stem[in]

Stem wall thickness

Base Thicknesst_base[in]

Base slab (footing) thickness

Toe LengthL_toe[ft]

Base projection in front of the stem

Heel LengthL_heel[ft]

Base projection behind the stem (under backfill)

Soil Unit Weightγs[kip/ft^3]

Moist unit weight of backfill

Friction Angleφ[deg]

Internal friction angle of the backfill (level)

Surchargeq_sur[ksf]

Uniform surcharge on the backfill

Base Friction Coefficientμ

Coefficient of friction, base–soil (tan δ)

Allowable Bearingqa[ksf]

Net allowable soil bearing (geotechnical report)

Concrete Strengthf'c[ksi]

Specified compressive strength of concrete

Steel Yield Strengthfy[ksi]

Reinforcement yield strength (ASTM A615 Gr. 60)

Outputs

Active Pressure CoefficientKa

Rankine active earth-pressure coefficient

Overturning Factor of SafetyFoS_OT

Resisting / overturning moment — must be ≥ 1.5–2.0

Sliding Factor of SafetyFoS_sl

Resisting / driving force — must be ≥ 1.5

Max Bearing Pressureq_max[ksf]

Maximum base bearing pressure (no uplift)

Stem Flexure DCRMu/φMn

Stem flexural demand-to-capacity ratio — must be ≤ 1.0

Heel/Toe Shear DCRVu/φVc

One-way shear demand-to-capacity ratio — must be ≤ 1.0

Methodology

Per ACI 318-19 (concrete design) plus IBC 2018/2021 §1807.2 (lateral soil loads and retaining-wall stability). Level drained granular backfill, Rankine active coefficient Ka = (1 − sinφ)/(1 + sinφ). Stability uses service loads with factors of safety (overturning ≥ 1.5–2.0, sliding ≥ 1.5 per IBC §1807.2.3; base friction only, passive neglected). Structural design uses factored loads with a 1.6·H lateral earth-pressure factor per ASCE 7-22 §2.3.1 / ACI 318-19 §5.3.1: stem and heel/toe flexure per §22.2, one-way shear per §22.5.5.1, and design strength per §9.5.1.1. Reinforcement ASTM A615 Gr. 60. Excludes seismic, sloped/cohesive backfill, passive/shear keys, and global stability.

Code References

IBC 2018/2021 Section 1807.2ACI 318-19 Sections 22.2, 22.5.5.1, and 9.5.1.1ASCE 7-22 Section 2.3.1

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