What Eccentricity Means for a Footing
When the resultant of all vertical loads on a footing (wall weight, footing weight, and any soil weight bearing on the footing) doesn't align exactly with the footing's geometric centerline, that offset is called eccentricity (e) — measured as the horizontal distance between the footing's centerline and the point where the resultant vertical force actually acts. For a retaining wall, the horizontal thrust from active earth pressure shifts the resultant vertical load's effective location toward the toe (compared to where it would sit if only the wall's own weight were acting), producing a real, calculable eccentricity that grows with the earth pressure thrust and shrinks with the wall's stabilizing weight and moment arms.
Why Eccentricity Changes the Bearing Pressure Distribution
A perfectly centered (zero-eccentricity) vertical load on a footing produces uniform bearing pressure across the entire footing width — every point along the base bears the same pressure. Once eccentricity is introduced, the bearing pressure distribution becomes non-uniform, higher on the side the resultant has shifted toward (the toe, for a typical retaining wall) and lower on the opposite side (the heel). This is a direct consequence of combined axial and bending loading on the footing — analogous to how an eccentrically loaded column produces higher stress on one face than the other.
The Middle-Third Rule Itself
The middle-third rule states that as long as eccentricity stays within B/6 of the footing centerline (where B is the total footing width) — equivalently, within the middle third of the footing's width — the entire footing base remains in compression, with no theoretical tension or separation anywhere along the base. This threshold comes directly from the standard combined-stress bearing pressure formula, q = (P/B)·(1 ± 6e/B): when e = B/6, the minimum pressure term (1 − 6e/B) reaches exactly zero, meaning the pressure at the far edge (the heel) just touches zero without going negative. Any eccentricity beyond B/6 would mathematically require a negative pressure at that edge — which isn't physically possible for a soil-footing interface, since soil can't resist tension (pull the footing down).
What Happens When Eccentricity Exceeds the Middle Third
When calculated eccentricity exceeds B/6, the simple linear pressure formula no longer applies, because soil can't develop the negative (tension) pressure the formula would otherwise predict at the far edge. Instead, only a reduced portion of the footing — the portion still in compression — actually bears load, with pressure concentrated over that smaller effective area, producing a maximum pressure that's higher than the simple formula would suggest for the same total load. This concentrated-bearing condition is a warning sign of a marginal or inadequate design, not simply a case requiring a modified formula — a footing regularly operating outside the middle third is at meaningfully higher risk of excessive settlement, tilting, or bearing failure concentrated at the toe.
How the Middle-Third Check Connects to Overturning
Eccentricity and the overturning check are closely related but distinct — both derive from the same underlying moment balance (resisting moment vs. overturning moment), but overturning asks "does the wall rotate over," while the middle-third/bearing check asks "does the footing bear evenly, or does pressure concentrate dangerously at the toe." A wall can technically pass the overturning check (FS ≥ 2.0) while still having eccentricity outside the middle third, since the two checks use different pass/fail thresholds applied to related but not identical underlying moment calculations — this is exactly why bearing pressure/eccentricity is checked as an independent, third stability criterion rather than assumed to be automatically satisfied by an adequate overturning factor of safety.
Design Responses to Excessive Eccentricity
Because eccentricity depends on the same moment balance as overturning, similar design changes help both — widening the base (particularly the heel, moving more resisting weight further from the toe) reduces eccentricity by increasing the resisting moment relative to the overturning moment. A design that fails the middle-third check specifically, even while passing overturning, often benefits from widening the base modestly rather than requiring a fundamentally different geometric approach.