1001Ferramentas
🧱 Calculators

Clay Activity (Skempton)

Computes clay activity as defined by Skempton, A = PI ÷ (% of particles finer than 2 μm), the ratio of the soil's plasticity index to the truly clay-sized fraction. It separates the clay mineral's effect from the mere amount of fines: two soils with the same PI behave very differently if one owes its plasticity to a little highly active clay and the other to a lot of inert clay. The usual classification is A < 0.75 inactive (kaolinite), 0.75 to 1.25 normal (illite) and A > 1.25 active (montmorillonite), the range where the expansive soils that warp pavements and shallow foundations are found. Enter the plasticity index and the clay fraction.

Result

Skempton Activity: telling active clay from inert fines

Two soils can reach the laboratory with the same plasticity index and behave in opposite ways on site. One owes its plasticity to 15 percent montmorillonite, the other to 60 percent kaolinite. The first swells, lifts slabs and warps pavement; the second is merely tedious to compact. A plasticity index on its own separates neither case, which is why a geotechnical engineer divides it by the genuinely clay-sized fraction before deciding whether to swap the material, treat it with lime or deepen the footing.

Skempton defined activity as A = PI ÷ (% of particles finer than 2 μm). The plasticity index comes from Atterberg limits — liquid limit minus plastic limit, ASTM D4318 — while the clay fraction comes from a hydrometer or sedimentation test. Reading the bands: under 0.75 the soil counts as inactive and kaolinitic, with values around 0.4; from 0.75 to 1.25 it ranks as normal, illite territory; above 1.25 it turns active, with calcium montmorillonite landing between 1.5 and 3 and the sodium form running past 5. Expansive soils live in that upper band.

The ratio inherits every uncertainty of the two tests feeding it. The percentage finer than 2 μm depends on the dispersing agent, the settling time and the temperature of the sedimentation test, and it varies between laboratories more than anyone would like. There is also the question of reference base: the plasticity index is measured on material passing the 0.425 mm sieve, so quoting a clay percentage over the whole sample, gravel included, inflates activity. Activity suggests a likely mineral; only swell testing or X-ray diffraction confirms it.

Frequently asked questions

What kind of soil gives A = 0.800 from PI 32 and 40 percent clay?
That falls in the normal band, 0.75 to 1.25, consistent with illite as the dominant clay mineral. In practice it means high plasticity coming from plenty of moderately active clay rather than from a little highly expansive clay: awkward to compact, with some seasonal volume change, but far from sodium montmorillonite behaviour. Had the same PI of 32 come with only 12 percent clay, activity would read 2.67 and the verdict would flip to expansive material, a risk for pavements and shallow footings.
Is the clay percentage taken over the whole sample or over the fines?
Ideally it refers to the same material the plasticity index was measured on, meaning whatever passes the 0.425 mm sieve. Grading reports usually quote percentages over the total sample, so in a soil carrying gravel or coarse sand the clay fraction looks diluted and activity comes out too high. Recompute the clay percentage against the mass passing the sieve before typing it here; that correction changes the class in soils holding more than 20 percent coarse material.
Does the tool accept a plasticity index of zero?
Yes, and it returns A = 0.000, which only says the soil is non-plastic — the mineral reading has no meaning there, and filing the material as inactive clay would be a mistake. A clay fraction of zero, negative or above 100 gets rejected with 'Check the values you entered.', since the field holds a percentage. Watch the decimal separator as well: typing 0.40 instead of 40 multiplies activity by a hundred and throws the soil into a class it has nothing to do with.

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CBR — California Bearing Ratio

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Pile Downdrag (Negative Skin Friction)

Calculate the negative skin friction (downdrag) force on a pile, F_n = f_n·A_s, from the unit negative friction f_n (kPa) and the affected lateral surface area A_s (m²). Negative friction is a DANGEROUS, counterintuitive phenomenon: normally side friction HELPS the pile (resists the load, positive friction, soil holding the pile up); but when the SURROUNDING SOIL SETTLES MORE than the pile — which happens with a soft consolidating layer (from recent overlying fill, water-table lowering, or natural consolidation) — the soil 'goes down' relative to the pile and, instead of holding it, DRAGS the pile DOWN by friction. This negative friction is NOT a resistance: it is an ADDITIONAL LOAD imposed on the pile, adding to the structure load and to be carried by the tip and the positive friction of deeper layers. Ignoring downdrag is a classic cause of excessive settlement or pile failure in soft-soil-and-fill ground. Mitigation includes coating the pile with bitumen (reducing f_n) in the affected zone, or simply sizing the pile for the extra load. Computing F_n is essential in any deep-foundation design on consolidating compressible layers. Enter the unit negative friction and the affected lateral area.

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Ideal Diameter of Hardenability (ASTM A255)

Computes the Grossmann ideal diameter D_I using the calculated hardenability method of ASTM A255: it starts from the carbon base diameter, D_I = 0.54·√(%C) inches for ASTM grain size No. 7, and multiplies it by the alloy factors (1 + 3.3333·Mn)·(1 + 0.7·Si)·(1 + 2.16·Cr)·(1 + 0.363·Ni)·(1 + 3.0·Mo). The result, already converted to millimetres, is the bar diameter that would still quench to 50 % martensite at its centre in an ideal cooling medium — that is, the index ranking steels by hardening DEPTH, not by peak hardness, which depends almost only on carbon. Because the factors are multiplicative rather than additive, 1 % manganese alone multiplies hardenability by 4.33 while the same 1 % nickel raises it by just 36 % — the order of potency is manganese, molybdenum, chromium, silicon and nickel, and it is why nickel earns its place in engineering steels through toughness rather than hardenability. One reading caveat: D_I is the diameter that would through-harden in an ideal quench of infinite severity — in oil the real critical diameter lands between a third and a half of it. The manganese factor holds up to 1.2 %, beyond which the standard switches expression, and the page rejects it from there on. Enter the carbon, manganese, silicon, chromium, nickel and molybdenum contents.

The results provided by this tool are for general informational and educational purposes only and do not constitute professional, financial, medical, legal, tax or accounting advice. Always confirm important decisions with a qualified professional and official sources.