A 20-year durability study by Hiram Ball, Ball Consulting Ltd., found that the minimum acceptable polymer solids content that will confer composite strengths equal to or greater than those achieved with a seven-day wet cure is 6 percent polymer solids by weight. In addition, the long-term properties of GFRC with polymer are superior to GFRC that does not contain polymer. In fact, naturally aged nonpolymer GFRC tends to be weaker and more brittle than it was when it first was made, whereas GFRC with polymer retains its early strength and flexibility.
In addition to its role as a curing aid, polymer offers a host of other benefits too:
Modulus of rupture (MOR) is the maximum fiber stress in bending at failure and represents the ultimate strength of the material. It is also known as the material's flexural strength. This graph shows that glass-fiber reinforeced concrete made with polymer is stronger when it's made and as it ages than GFRC made without polymer.
Calculating the right amount of polymer
As I've just stated, the effective minimum dose of polymer solids in GFRC is 6 percent by weight. Polymer is most often in a liquid form, so the calculations to figure the right amount of liquid polymer require knowledge about the solids content of the liquid polymer. Most commercial GFRC polymer is about 50 percent solids. (Two widely used brands have 51 percent solids and 47 percent solids, respectively.) If we use an example of polymer with 50 percent solids, half of the weight of the liquid is polymer solids, and the other half is water. And this water counts as part of the mix water used in the GFRC.
I will step through the calculations since this gets a bit complicated. Let’s start with a typical commercial GFRC mix design that will make 10 square feet of 3/4-inch-thick backer for GFRC:
- Sand: 33.4 pounds
- 6 percent liquid polymer with 51 percent solids: 3.9 pounds
- Water (assuming a water/cement ratio of 0.32): 8.8 pounds
- Portland cement (80 percent): 26.7 pounds
- Pozzolan (20 percent): 6.7 pounds
- 3 percent AR glass fibers: 2.5 pounds (3 percent of total weight of all ingredients, including the fibers)
- Total weight per batch: 82.0 pounds
This mix design has 33.4 pounds of sand and 33.4 pounds (portland cement plus pozzolan) of total cementitious material. All admixtures (polymer solids, pigments, superplasticizer, etc.) are dosed based on the total cementitious material weight.
A 6-percent polymer solids dose means we need 33.4 pounds times 6 percent, or 2.0 pounds, of polymer solids (not liquid polymer). To calculate how much liquid polymer (what is poured out of the bucket) is needed, perform this calculation:
2.0 pounds polymer solids
+ 0.51(or 51 percent solids content)
= 3.9 pounds of liquid polymer
If you think about it, about half of the liquid polymer is water and the other half is solids, so about 2 pounds of solids is contained in about 4 pounds of liquid polymer.
To calculate the water:
- Calculate the total amount of water needed:
33.4 pounds cementitious
× 0.32 w/c
= 10.7 pounds of water
Some of that water comes from the liquid polymer. So now we need to calculate how much water will come from the polymer we’re adding. We’ve already calculated that 3.9 pounds of liquid polymer is needed, and that contains 2.0 pounds of polymer solids, leaving 1.9 pounds of water being contributed by the liquid polymer.
Now subtract that water from the total amount needed:
10.7 pounds
- 1.9 pounds
= 8.8 pounds water to add
Changing the w/c ratio alters only how much water we must batch out (more or less than 8.8 pounds). It does not change the amount of liquid polymer needed.
Calculating the right amount of fiber
For completeness, I’ll calculate the weight of fibers called for, too. Unlike other admixtures, fibers are not dosed based on dry cementitious weight. A 3-percent fiber load means 3 pounds of fiber have been added to 97 pounds of nonfiber material to make 100 pounds of GFRC backer.
We first have to determine how much nonfiber material we have. Adding up our ingredients (everything but the fiber), we have:
33.4 pounds sand
+ 26.7 pounds cement
+ 6.7 pounds pozzolan
+ 3.9 pounds liquid polymer
+ 8.8 pounds water
= 79.5 pounds of nonfiber material
So rather than having 97 pounds of material, we have 79.5 pounds of material. We can use ratios to find the amount of fibers to add.
In English: 79.5 pounds is to 97 pounds as (unknown fiber quantity) is to 3 pounds.
In mathematical terms: 79.5 &pide; 97 = x &pide; 3. Do the algebra:
(79.5 × 3) &pide; 97 = 2.458 pounds of fibers needed, rounded up to 2.5 pounds.
The total amount of backer would be:
79.5 pounds
+ 2.5 pounds
= 82.0 pounds
These calculations are complex but essential for correct GFRC mix design. I’ve included them to give you a full understanding of GFRC mix calculations. It is easier to present GFRC mixes in 10-square-foot batches, which you can then multiply by the number of 10-square-foot units you have. For example, if you need to make 52 square feet of GFRC, you can simply multiply your 10-square-foot batch by 5.2. Alternatively, I have a GFRC mix calculator that asks you to enter only the square footage (or meters), after which it produces a batch report.
Examples of poor GFRC mix design
As GFRC has become more popular over the last five or six years as the go-to concrete mix design for concrete countertops, I have gotten more calls about cracking, curling and other issues that I believe are directly related to a disturbing trend: mix designs that use too little polymer and too little fiber. These mix designs run counter to decades of well-studied commercial GFRC mix design and would fail to meet the quality levels required by certified commercial GFRC plants.
Instead of producing a high-flexural-strength concrete that is strong and resists cracks and shrinking, users of these mix designs are instead making brittle, underreinforced concrete that has low flexural strength, higher porosity and greater shrinkage and crack tendencies.
For example, this mix design seems to be quite popular judging by the amount of problems I’m seeing, and it clearly uses too little polymer and fiber to produce the quality and strength of GFRC that the users of this mix are expecting:
- Cement: 23.5 pounds
- Pozzolan: 2.6 pounds
- Sand: 21.5 pounds
- Water: 7 pounds
- Liquid polymer (50 percent solids): 1.5 pounds
- Glass fiber: 1 pounds
Using the calculation methods previously mentioned, the above mix design has only 2.9 percent polymer solids content and only 1.8 percent fiber content! (I’m using 50 percent solids as a middle ground between the commercial polymers that are 47 percent and 51 percent solids.)
Another mix design I’ve seen using powdered all-in-one additives is:
- Cement: 30 pounds
- Sand: 30 pounds
- Water: 9 pounds
- Dry polymer blend: 0.45 pounds
- Glass fiber: 1.8 pounds
This mix design has insignificantly low 1.5 percent polymer solids content and 2.5 percent fiber content!
Concrete has rules that must be followed if it is to produce the kind of performance that is being expected from it. GFRC is a well-studied material purposefully developed to create large, thin structural shells, panels and other high-quality architectural products. It’s an internationally used and recognized material that has certification requirements and standards for quality and strength. The mix designs and ingredients are widely used and tested for performance and consistency.
It’s true that using the required amount of polymer and fibers does increase the cost of the material, but that’s what it takes to make a high-performance material like GFRC. Extraordinary performance demands extraordinary care and attention to detail, and paying attention to what the world has done for the last few decades is a good way to ensure your GFRC will perform to your expectations.