All tools Print with PE stamp box Designed for sealed engineering submittals — print drops PE stamp + signature block at the end.

Segmental Retaining Wall Calculator (Modular Block, Gravity)

External stability of an unreinforced segmental (modular concrete block) retaining wall, treated as a battered gravity wall: Coulomb active pressure with wall batter, wall friction, backslope and surcharge; overturning, base sliding and bearing; and the tallest number of courses your block can stack before it needs geogrid. Enter the block's depth, height, setback and infilled unit weight from the manufacturer's data.

ft
in
in
in
pcf
pcf
degrees
degrees
psf
degrees
psf
—degrees
——
—lb/ft
—lb/ft
——
——
—in
—psf
—ft
——

The wall is modeled as a single leaning block Wu deep and H tall; the vertical component of the soil thrust helps resist overturning and sliding, the surcharge counts only as a driving load (and as vertical load for bearing). Bearing is checked on the Meyerhof effective width directly under the units; a gravel leveling pad spreads the load further, so this is conservative. Shear between courses, which depends on the product's tested interface strength, is not checked.

$$ K_a = \frac{\cos^2(\varphi+\omega)}{\cos^2\omega\,\cos(\delta-\omega)\left[1+\sqrt{\dfrac{\sin(\varphi+\delta)\sin(\varphi-i)}{\cos(\delta-\omega)\cos(\omega+i)}}\right]^2} $$
$$ FoS_{OT} = \frac{W x_W + P_{av} x_a}{P_{ah}\tfrac{H}{3} + P_{qh}\tfrac{H}{2}},\qquad FoS_{SL} = \frac{(W + P_{av})\tan\varphi_b}{P_{ah}+P_{qh}},\qquad q_b = \frac{N}{W_u - 2e} $$
ω batter from vertical (positive leaning into the soil) · δ = ⅔φ interface friction on the back of the units · xW = Wu/2 + (H/2)tan ω · xa = Wu + (H/3)tan ω · Pah, Pav = Pacos(δ − ω), Pasin(δ − ω) · N = W + Pav + Pqv.

Acceptance criteria used

NCMA-based minimum factors of safety for SRWs (as adopted in municipal standards, e.g. Town of Clayton NC, Table 2.1)
CheckMinimum FoSIn this calculator
Base sliding1.5Yes
Overturning2.0Yes
Bearing capacity (soil footing)2.0Yes — enter qallow = qult/2.0
Global stability1.3No — slope-stability analysis
Facing shear between units1.5No — needs the product's tested shear capacity

Worked example

Example — five courses of a 12-in block (the calculator defaults)

Given: H = 3.33 ft (five 8-in courses), Wu = 12 in, 0.75-in setback per course, γu = 120 pcf; retained soil γ = 120 pcf, φ = 30°, level, no surcharge; φb = 30°, qallow = 2,000 psf.
ω = tan⁻¹(0.75/8) = 5.4° · δ = ⅔ × 30° = 20° · Coulomb Ka = 0.261 · Pa = ½(0.261)(120)(3.33²) = 174 lb/ft, inclined δ − ω = 14.6° → Pah = 167.9, Pav = 43.9 lb/ft
W = 120 × 1.0 × 3.33 = 400 lb/ft at xW = 0.5 + 1.665 × 0.094 = 0.66 ft · Mr = 262 + 43.9 × 1.10 = 310.6 ft-lb/ft · Mo = 167.9 × 1.11 = 186.4 ft-lb/ft → FoSOT = 1.67 ✗ (needs 2.0)
FoSSL = (400 + 43.9) tan 30° / 167.9 = 1.52 ✓ · e = 2.64 in → B′ = 12 − 2 × 2.64 = 6.72 in → qb = 443.9 / 0.56 = 792 psf ✓
Overturning governs: five courses fail, four courses (2.67 ft) pass. Sensitivity from the same calculator: a 100-psf surcharge cuts the limit to 2 courses; φ = 34° raises it to 5; a 24-in-deep unit with a 1-in setback reaches 9 courses (6.0 ft). Block depth and batter are the levers.

Construction details that matter more than the math

References: National Concrete Masonry Association, Design Manual for Segmental Retaining Walls, 3rd ed. (method; product-specific values come from the manufacturer). Town of Clayton, NC, Segmental Block Retaining Wall Design, Manual of Specifications, Standards and Design (2010), Table 2.1. Coulomb, C.A. (1776); Meyerhof, G.G. (1953), effective-width bearing. FHWA-NHI-10-024, Design and Construction of Mechanically Stabilized Earth Walls and Reinforced Soil Slopes, Vol. I.

Related tools

Monthly engineering case studies

One real design problem per month. No tutorials, no fluff.

Free. Privacy.

Engineer of Record — Stamp & Signature
APPLYPE STAMPHERE
Engineer Name
License No.
State
Signature
Date
Project / Sheet
By stamping and signing, the Engineer of Record certifies that the inputs, formulas, and applicability of this calculation have been reviewed for the specific design context. PE-Calc tools provide computational support only — the engineer is responsible for verifying results, applying engineering judgment, and complying with applicable codes and standards.
Calculation generated at pe-calc.com