Construction, Carpentry & Concrete Masonry, Block & Reinforcement ASTM C270 proportion specification; TMS 602 bedding

Mortar Mix Calculator (Type N, S, M & O)

This calculator answers two questions at once. First, how much mortar the joints in your wall will actually hold — worked from the unit size, the joint thickness and whether hollow units are bedded on the face shells or bedded full. Second, how to buy it: either as pre-blended bags, or as the portland cement, hydrated lime and sand that make up a Type M, S, N or O mortar under the ASTM C270 proportion specification. The joint geometry is exact arithmetic; the buying side rests on the standard mason's assumption that a batch of mortar yields about the volume of damp loose sand that went into it.

Calculator

This calculator runs in your browser. Enable JavaScript for live results — the inputs, formula and worked example below remain fully readable without it.

Inputs this calculator takes, with typical values
InputWhat to enterExample
Masonry unitPick the unit you are laying; dimensions are the specified (actual) sizes.CMU 8 × 8 × 16 nominal
Number of units to layTake this from your block or brick takeoff, before the breakage allowance.500
Mortar joint thicknessBed and head joints alike. Three-eighths of an inch is standard for both block and brick.0.375 in
BeddingTMS 602 allows face-shell bedding for hollow units; solid brick is always bedded full.Face-shell bedding (hollow units)
Mortar typeASTM C270 cement-lime proportions by volume: portland : hydrated lime : sand.Type S — 1 : ½ : 4½
Pre-blended bag yieldRead the yield printed on the bag; 80 lb bags of mortar mix are commonly around 0.6 ft³.0.6 ft³/bag
Waste allowanceCovers mortar dropped from the board, the full-bedded starting course, and joints struck and repointed.25 %

It returns

  • Mortar required — Joint volume from the unit geometry, plus your waste allowance.
  • Bags of pre-blended mortar mix
  • Portland cement, 94 lb bags — One bag of portland cement is taken as 1 ft³ of loose volume.
  • Hydrated lime, 50 lb bags — Hydrated lime is proportioned at 40 lb per cubic foot, so a 50 lb bag is 1.25 ft³.
  • Damp loose sand
  • Sand by weight — At 100 lb per cubic foot of damp loose masonry sand.
  • Mixing water, approximate — Mortar is mixed to workability, not to a water-cement ratio. Treat this as a starting point.
  • Mortar per 100 units

The formula

V=d((L+j)(H+j)LH)1728
Vcem=Vmortar3(1+λ)

In plain text: V = d × ((L + j)(H + j) − L·H) / 1728 per unit

  • VMortar volume for one unit (ft³)
  • dBedded depth — the full unit width, or twice the face-shell thickness (in)
  • LSpecified unit length (in)
  • HSpecified unit face height (in)
  • jMortar joint thickness (in)

The bracket is the joint area inside one repeating cell of the bond pattern: one bed joint, one head joint, and the small square where they meet.

Updated Category Masonry, Block & Reinforcement Verified against published test cases Reading time 11 min

Where mortar actually goes in a wall

Mortar occupies the joints, and nothing else. In running bond every unit sits in a repeating rectangular cell measuring (L + j) by (H + j), where L and H are the specified unit dimensions and j is the joint. Subtract the unit's own face area from that cell and what is left is the joint area: one bed joint, one head joint, and the small square where the two meet. Multiply by the depth the mortar is bedded to and you have the volume for one unit.

That bedded depth is the fork in the road. Solid brick is bedded full, so the depth is the whole width of the unit — 3⅝ in for a modular brick. Hollow concrete units are normally face-shell bedded, meaning the mortar sits only on the two shells at the front and back of the unit. On an 8 in block with 1¼ in shells that is 2½ in of the 7⅝ in width, so face-shell bedding uses about a third of the mortar full bedding would. TMS 602 permits face-shell bedding for hollow units but requires full bedding at the starting course on the foundation and around cells that are to be grouted.

The consequence is arithmetic you can check on the back of a mortar board: 8.06 ft³ of mortar per 1,000 modular brick laid full-bed at 3/8 in, and 1.28 ft³ per 100 face-shell bedded 8 in block. Those are the geometric floors. What you actually buy is higher, and the next section explains why.

ASTM C270 types and what the proportions mean

ASTM C270 is the specification for mortar for unit masonry, and it lets you specify a mortar in either of two ways: by proportion or by property. The proportion specification is the one masons work from, and for cement-lime mortars it fixes the parts of portland cement to hydrated lime and then sets the aggregate at not less than 2¼ and not more than 3 times the sum of the cementitious volumes. Working at the upper limit of 3 gives the familiar recipes: Type M is 1 : ¼ : 3¾, Type S is 1 : ½ : 4½, Type N is 1 : 1 : 6, and Type O is 1 : 2 : 9.

Read those left to right and you can see what changes: as you move from M to O, the lime share rises and the cement is spread through more sand. More cement gives more compressive strength and less workability; more lime gives better workability, better water retention, and a mortar soft enough to accommodate small movements and to be repointed without damaging the units. That trade-off — not "stronger is better" — is how you choose a type. A hard Type M mortar in a soft historic brick wall will pull the faces off the brick, because the mortar joint is supposed to be the sacrificial element.

In broad practice: Type N is the general-purpose above-grade choice, Type S is used where more flexural bond strength or below-grade durability is wanted, Type M is reserved for masonry in contact with earth, and Type O is limited to interior, non-load-bearing work. Where a project specification names a type, use that one — the choice interacts with unit strength and with the assumed f′m of the assembly.

Worked example: 500 8 in block, face-shell bedded, Type S

Five hundred nominal 8 × 8 × 16 concrete masonry units, 3/8 in joints, face-shell bedded, Type S mortar, with a 25% waste allowance.

  1. Cell area. (15.625 + 0.375) × (7.625 + 0.375) = 16.000 × 8.000 = 128.000 in².
  2. Joint area. 128.000 − (15.625 × 7.625) = 128.000 − 119.141 = 8.859 in².
  3. Bedded depth. Two face shells at the ASTM C90 minimum of 1.25 in = 2.500 in.
  4. Mortar per block. 2.500 × 8.859 ÷ 1,728 = 0.012817 ft³.
  5. For 500 block. 0.012817 × 500 = 6.409 ft³; with 25% waste, 8.01 ft³.
  6. Sand. Yield is taken as the damp loose sand volume, so 8.01 ft³ of sand — about 0.40 tons at 100 lb/ft³, or roughly a third of a cubic yard.
  7. Portland cement. Type S puts 4.5 parts of sand to 1 part of cement, so 8.01 ÷ 4.5 = 1.78 ft³ = 1.78 bags of 94 lb portland.
  8. Hydrated lime. Half the cement volume: 0.5 × 1.78 = 0.89 ft³. A 50 lb bag of lime is 1.25 ft³, so 0.71 bags.
  9. Or buy it pre-blended. 8.01 ÷ 0.60 ft³ per bag = 14 bags of 80 lb mortar mix.

Sanity-check the cement figure against the batch: 1.78 bags of portland, 0.89 ft³ of lime and 8.01 ft³ of sand is 1 : 0.5 : 4.5 by volume, exactly the Type S proportion. That is the check worth doing whenever a mix looks wrong on the board.

How to read the result and how much to actually order

The volume this calculator reports is joint geometry plus your allowance, and the geometry is the smaller part of what a wall consumes. Mortar is furrowed and squeezed out, it falls off the board and off the trowel, the starting course on the footing is bedded full even on hollow units, cells that will be grouted are bedded full, joints are struck and sometimes repointed, and a batch that stiffens past its working life goes in the barrow. That is why the default allowance here is 25% rather than the 5% you would use on units — and why long-standing masons' rules of thumb for bags per hundred block sit well above the geometric figure.

Order sand by the cubic yard: 27 ft³ to the yard, so the 8 ft³ in the worked example is under a third of a yard, and no supplier will deliver that. On small jobs buy bagged sand or pre-blended mix; the break-even against a bulk load and a mixer is usually somewhere in the low hundreds of block. Order cement and lime whole: bags do not keep well once opened, and lime in particular carbonates.

Water is the one number to treat loosely. Mortar is mixed to a workability the mason judges by feel — C270 does not fix a water-cement ratio, and retempering with water during the working life of a batch is normal and permitted. The figure here is a starting point in the mixer, roughly a gallon and a quarter for each 80 lb bag of pre-blended mix. Add the last of it slowly.

ASTM C270 cement-lime proportions and what they yield

Proportions are by volume with aggregate at three times the cementitious volume, the upper end of the range ASTM C270 allows. Yield is taken as the sand volume.
TypePortland : lime : sandMortar per 94 lb bag of portland (ft³)Portland per ft³ of mortar (lb)Lime per ft³ of mortar (lb)Typical use
M1 : ¼ : 3¾3.7525.12.7Masonry in contact with earth
S1 : ½ : 4½4.5020.94.4Load-bearing walls, at or below grade
N1 : 1 : 66.0015.76.7General above-grade work, veneer
O1 : 2 : 99.0010.48.9Interior, non-load-bearing only

Cement weight per cubic foot of mortar is 94 lb divided by the yield; lime is 40 lb per cubic foot times the lime part divided by the yield.

Masonry cement and mortar cement are different products

The proportions above are for cement-lime mortar mixed from portland cement, hydrated lime and sand. ASTM C270 also recognises mortars made with masonry cement (ASTM C91) and mortar cement (ASTM C1329), which are proprietary blends already containing the plasticiser, and which are proportioned differently — typically one bag of the blended cement to 2¼–3 volumes of sand. Do not add lime to a masonry cement mix, and do not assume the strength classes are interchangeable: mortar cement is required where higher flexural bond strength is specified, and some codes restrict masonry cement in high seismic design categories.

Mistakes that leave you short or leave you with a bad wall

  • Estimating from joint geometry alone. The geometric volume is a floor. Board loss, the full-bedded starting course and repointing all take material the joints never see.
  • Using face-shell bedding everywhere on a block wall. The base course and every grouted cell are bedded full under TMS 602, so real consumption is between the two figures this calculator gives.
  • Choosing the strongest mortar available. Mortar should be the sacrificial element. A hard mortar in a soft or historic unit transfers movement into the units and spalls their faces.
  • Adding lime to masonry cement. It is already plasticised. Adding lime changes the proportion the product was designed and tested at.
  • Measuring sand by the shovel. Shovel counts vary with the mason and with how damp the sand is. Batch by box or by bucket if the mix matters.
  • Ignoring bulking in damp sand. Sand at a few percent moisture occupies noticeably more volume than dry sand, which is exactly why the proportion specification is written for damp loose sand.
  • Retempering after the working life. Adding water to bring back a batch that has begun to set does not restore it; it produces weak mortar. Discard it.

Where this sits in a masonry takeoff

Mortar is the third line on a masonry estimate, after the units and before the grout. Get the unit count first from the concrete block calculator or the brick calculator — both deduct openings and add waste, and both report a mortar figure using the same geometry as this page. Then come back here to split that volume into cement, lime and sand, or into bags.

Grout is a separate material and a separate order. It fills the cells around vertical reinforcement, it is specified by ASTM C476, and its volume dwarfs mortar on any reinforced wall. The bars themselves come out of the rebar spacing calculator and their tonnage out of the rebar weight calculator. Below the wall, the footing volume comes from the concrete footing calculator.

Two limits to state plainly. First, this calculator gives quantity and proportion; it does not verify that a mortar meets the property requirements of ASTM C270, which is a laboratory matter. Second, mortar type is part of a structural assembly's assumed strength, so on any engineered wall the specification governs and the mason's preference does not.

Frequently asked questions

How many bags of mortar do I need per 100 block?

The joint geometry for 100 face-shell bedded 8 in block is 1.28 ft³, which is about two 80 lb bags of pre-blended mix at a 0.6 ft³ yield. Real consumption is higher: add a waste allowance for board loss, for the full-bedded starting course and for repointing, and a 25% allowance takes it to 1.60 ft³, or three bags. Full-bedded, the same 100 block take 3.91 ft³.

What is the difference between Type N and Type S mortar?

The cement-to-lime ratio. Type N is 1 part portland to 1 part hydrated lime to 6 of sand; Type S is 1 to ½ to 4½. Type S therefore carries more cement per cubic foot of mortar — 20.9 lb against 15.7 lb — which gives it more compressive and flexural bond strength, while Type N is more workable and more forgiving of movement. Type N is the usual above-grade choice; Type S is used for load-bearing walls and work at or below grade.

How much sand do I need for a cubic foot of mortar?

About a cubic foot. The standard working assumption is that a batch of mortar yields roughly the volume of damp loose sand that went into it, because the cement and lime paste fills the voids between the sand grains rather than adding to the bulk. That is why the sand column in the comparison table is the same for every mortar type — what changes between types is how much cementitious material is dispersed through the same sand.

Can I use pre-blended mortar mix instead of mixing my own?

Yes, and on a job of a few hundred units it is usually cheaper once you count the mixer, the sand delivery and the labour. Pre-blended bags are supplied to a stated ASTM C270 type, so buy the type the specification calls for. Check the yield printed on the bag rather than assuming 0.6 ft³ — it varies by product — and enter that figure so the bag count comes out right.

How thick should a mortar joint be?

Three-eighths of an inch for both brick and block, which is what makes nominal dimensions work: a 15⅝ in block plus a 3/8 in joint is exactly 16 in. Joints much thinner than ¼ in leave too little room for the mortar to bond and accommodate unit tolerance; joints over ½ in lose strength and are hard to strike cleanly. Where units run out of tolerance, adjust the bed joint slightly rather than the head joints.

Do I need lime in the mix?

In a cement-lime mortar, yes — lime is what makes the mix workable, keeps water available to the cement while the unit sucks at it, and lets the joint heal fine cracks. A portland-and-sand mix without lime is harsh to work and bonds poorly. The exception is masonry cement or mortar cement, which already contain the plasticiser and must not have lime added.

How much water does mortar need?

As much as it takes to reach a workable consistency, judged by the mason. ASTM C270 deliberately does not fix a water-cement ratio for field mortar, because unlike concrete the mortar is meant to be mixed wet and to give up water to the units. The figure this calculator gives — about a gallon and a quarter per 80 lb bag of pre-blended mix — is a starting point. Retempering with water during the batch's working life is normal; retempering a batch that has begun to set is not.

Does the mortar type change how much mortar I need?

No. The volume comes entirely from the joint geometry — unit size, joint thickness and bedded depth — and is the same whichever type you use. What the type changes is the recipe inside that volume: how many bags of portland and how much lime are dispersed through the same quantity of sand. The comparison table shows the identical volume batched four ways.

References

  • ASTM C270, Standard Specification for Mortar for Unit Masonry — ASTM International
  • TMS 402/602, Building Code Requirements and Specification for Masonry Structures — The Masonry Society
  • ASTM C90, Standard Specification for Loadbearing Concrete Masonry Units — ASTM International
  • ASTM C1329, Standard Specification for Mortar Cement — ASTM International