Texture Profile Analysis Calculator
Calculate TPA parameters (hardness, cohesiveness, springiness, gumminess, chewiness) from two-cycle compression test data.
About this calculator
Texture Profile Analysis reduces a mechanical compression test — squeezing a food sample twice in a row with a probe and recording force against distance — into the standard numeric vocabulary food scientists use to describe mouthfeel, following the parameter set Bourne defined in 1978. Hardness is simply the peak force in the first compression cycle. Cohesiveness compares how much work (area under the force-distance curve) the second compression takes relative to the first — a food that falls apart on first bite has low cohesiveness, since there's little structure left to resist round two. Springiness is the ratio of how far the sample recovers between cycles versus how far it was first compressed, capturing elastic rebound.
From there, two composite parameters build in real predictive value: gumminess (hardness × cohesiveness) describes the energy needed to disintegrate a semi-solid food to a swallowable state, while chewiness (gumminess × springiness) extends that to solid foods where elastic recovery also matters. Adhesiveness is reported directly from the negative-force area you measured (probe stickiness on withdrawal), and resilience approximates instantaneous elastic recovery as cohesiveness times springiness. One easy mixup: fracturability here is only populated when the second peak force drops meaningfully below the first (more than 20%), signaling a genuine break point — a smoothly deforming, non-brittle sample will correctly show it as zero rather than a spurious value.
Inputs
Results
Hardness (N)
50
Gumminess (N)
37.5
How to Use This Calculator
- Enter peak force for cycle 1 and cycle 2 in Newtons from your texture analyzer.
- Set the area under the curve for each cycle (N·mm), compression and recovery distances, adhesive area, and sample height.
- The calculator computes hardness, cohesiveness, springiness, gumminess, chewiness, adhesiveness, resilience, and compression strain.
- Compare computed TPA parameters against reference standards for your product category to assess texture consistency.
How the result changes with Peak force, cycle 1 (N)
| Peak force, cycle 1 (N) | Hardness (N) | Gumminess (N) |
|---|---|---|
| 25 | 25 | 18.75 |
| 38 | 38 | 28.5 |
| 75 | 75 | 56.25 |
| 125 | 125 | 93.75 |
What each input means
- Peak force, cycle 1 (N)
- Maximum force during the first compression cycle in Newtons. This is the hardness value.
- Peak force, cycle 2 (N)
- Maximum force during the second compression cycle in Newtons.
- Area under curve 1 (N·mm)
- Total positive work (area under force-distance curve) for the first compression.
- Area under curve 2 (N·mm)
- Total positive work for the second compression.
- Compression distance 1 (mm)
- Distance traveled during first compression (probe travel) in mm.
- Recovery distance 2 (mm)
- Distance recovered/traveled during second compression in mm.
- Adhesive area (N·mm)
- Area of negative force region between cycles (probe pull-off). 0 = not adhesive.
- Sample height (mm)
- Original sample height before compression, for strain calculation.
What each result means
- Hardness (N)
- Peak force during first compression. Higher = firmer texture.
- Cohesiveness (ratio)
- Ratio of work in 2nd to 1st compression (0–1). Higher = more cohesive.
- Springiness (ratio)
- Recovery ratio between compressions (0–1). Higher = more elastic.
- Gumminess (N)
- Hardness × Cohesiveness. Energy to disintegrate a semi-solid food.
- Chewiness (N)
- Gumminess × Springiness. Energy needed to chew a solid food to swallowable consistency.
- Adhesiveness (N·mm)
- Work to pull the probe from the sample surface. Higher = stickier.
- Resilience (ratio)
- Instant elastic recovery. Cohesiveness × Springiness.
- Compression strain (%)
- Percentage of original height compressed in the first cycle.
How this is calculated
Worked example, using the default values
- Identify Input Parameters4 parametersPeak force, cycle 1 (N) = 50, Peak force, cycle 2 (N) = 40, Area under curve 1 (N·mm) = 200, Area under curve 2 (N·mm) = 150 = 8 input(s) provided
- Calculate HardnessHardness = peakForce1N50 = 50
- Calculate GumminessGumminess = hardness * cohesiveness37.5 = 37.5
- Calculate Cohesiveness0.75 = 0.75
- Calculate Springiness0.8 = 0.8
Engine last updated . Checked against 3 independently-derived tests — how we verify calculators. Built by Paul Gunder, a software engineer, not a licensed financial, medical, or legal professional.
Frequently Asked Questions
Why is fracturability sometimes reported as 0 even though my sample clearly resists compression?
Fracturability is only populated by the calculator when the second-cycle peak force drops below 80% of the first-cycle peak force, which is meant to signal a genuine structural break point in the first compression. A sample that deforms smoothly without a sharp break, even a firm one, correctly shows fracturability as 0 rather than a misleading value, since there's no distinct fracture point for that parameter to describe.
What's the practical difference between gumminess and chewiness?
Gumminess (hardness times cohesiveness) describes the energy needed to break a semi-solid food down to a swallowable consistency, and it doesn't need springiness because semi-solids like pudding don't meaningfully rebound between bites. Chewiness (gumminess times springiness) extends that same idea to solid foods where elastic recovery between chews also affects how much total work it takes to swallow, which is why the calculator multiplies in the extra springiness term only for chewiness.
Why does cohesiveness use the area under the curve while springiness uses distance?
Cohesiveness measures how much internal structure survives the first compression by comparing the total work, the area under the force-distance curve, needed in the second compression to the first — a food that falls apart loses most of its resistance and shows low cohesiveness. Springiness instead measures a purely geometric recovery, how far the sample bounces back in height between cycles, capturing elastic rebound independently of how much force or work that rebound involves.
What does the compression strain percentage tell me that hardness alone doesn't?
Strain percentage, the compression distance divided by original sample height, shows how far you actually compressed the sample relative to its size, which matters because TPA parameters like hardness are only comparable between samples tested at similar strain levels. Two samples compressed to very different strain percentages can't be fairly compared on hardness or cohesiveness alone, since compressing further generally increases measured force regardless of the underlying texture.
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