Shoe Bending Stiffness Increased Estimated Achilles Load in 31 Runners

Latest in FitnessNovember 8, 2026Training Research

Shoe bending stiffness increased both peak Achilles tendon force and total tendon impulse in a modelling study of 31 male rearfoot strikers. Runner experience changed the shape of the loading curve, but it did not interact with bending stiffness.

Bending stiffness is the property that makes a carbon-plated racing shoe resist being flexed at the forefoot, and it has become one of the most-marketed and least-explained numbers in running footwear. A study published on November 7, 2026 in Scientific Reports put three bending stiffness levels on the same 31 runners and estimated what each one did to the Achilles tendon.

The work comes from a group spanning three Chinese institutions: Shixin Lin, Jiaying Shao and Ye Ma of the Research Academy of Grand Health in the Faculty of Sports Sciences at Ningbo University; Hao Yuan and Mianfang Ruan of the College of Physical Education and Health at Wenzhou University; and Dongwei Liu of the School of Information Technology and Artificial Intelligence at Zhejiang University of Finance and Economics.

Thirty-one male rearfoot strikers took part, split into 18 experienced and 13 novice runners. All of them ran at 4.17 metres per second, roughly a 4-minute-per-kilometre pace, in carbon-fibre shoes built to three bending stiffness levels: 10.9, 17.5 and 32.9 newton metres per radian, labelled T1, T2 and T3.

Achilles tendon force was not measured directly. It was estimated in a subject-specific musculoskeletal model using static optimization. Discrete outcomes were compared with mixed two-way analysis of variance and a Holm correction, and the full loading waveforms were analysed with one-dimensional statistical parametric mapping.

At a Glance

  • Published November 7, 2026 in Scientific Reports; received May 25, 2026 and accepted November 3, 2026.
  • 31 male rearfoot strikers, 18 experienced and 13 novice, all running at 4.17 metres per second.
  • Three bending stiffness conditions were tested: T1 at 10.9, T2 at 17.5 and T3 at 32.9 newton metres per radian.
  • Stiffness raised peak Achilles tendon force, with T3 above T1 (Holm-corrected p = 0.013, partial eta squared = 0.159).
  • Stiffness raised tendon impulse more strongly, with T2 and T3 both above T1 (p = 0.003, partial eta squared = 0.264).
  • Peak ankle dorsiflexion angle changed with stiffness (p below 0.001, partial eta squared = 0.472).
  • The main caveat is that tendon force was model-estimated rather than measured, in 31 male rearfoot strikers at a single speed.

How the Bending Stiffness Conditions Were Built

The design choice that gives this paper its value is simple: the same runners ran in all three shoes. That makes each person their own comparison and removes the problem that plagues footwear research, where differences between people swamp differences between shoes.

The three bending stiffness levels were not arbitrary. T1 at 10.9 newton metres per radian sits near a conventional trainer. T3 at 32.9 is about three times stiffer, in the territory of aggressive racing plates. T2 at 17.5 fills the middle. Spanning that range matters, because a plate too stiff for a given runner is a real possibility rather than a theoretical one.

Every runner was a rearfoot striker, and all ran at one controlled speed. Both decisions tighten the comparison and narrow who the results describe, a trade-off that runs through most biomechanics work of this kind.

Stiffer Plates Raised Both Peak Force and Total Impulse

Two separate things can happen to a tendon when footwear changes. The single hardest moment of loading can get harder, or the total amount of loading accumulated across the step can grow. The study found both, and found the second more convincingly than the first.

Peak Achilles tendon force rose with bending stiffness, with the stiffest condition exceeding the least stiff one at a Holm-corrected p of 0.013 and a partial eta squared of 0.159. Tendon impulse, which integrates force over time, showed a stronger effect at p = 0.003 and a partial eta squared of 0.264, with both T2 and T3 above T1.

That impulse result is arguably the more interesting of the two. It suggests the middle bending stiffness was already enough to increase cumulative tendon loading, even where it did not clearly raise the single peak. For a tissue whose injuries are usually described as accumulated rather than acute, cumulative load is the more relevant currency.

32.9

Newton metres per radian in the stiffest shoe tested, roughly three times the 10.9 of the least stiff condition.

Why the Ankle Explains Part of It

The mechanism the authors point to for the bending stiffness effect is at the ankle. Peak ankle dorsiflexion angle changed with bending stiffness, and the effect there was the largest in the paper, with a partial eta squared of 0.472 and a p value below 0.001. A stiffer forefoot resists bending, the joint travels differently, and the tendon crossing it sees a different demand.

There is a caveat the authors flag themselves: the dorsiflexion effect appeared in the discrete peak values without corresponding significant effects in the waveform analysis. The two methods disagreeing is a signal to treat the mechanism as suggested rather than demonstrated.

Those percentages of stance where differences did appear are narrow windows. Loading differences showed up across roughly 12.7 to 18.6 percent, 23.3 to 63.4 percent and 79.7 to 88.9 percent of the stance phase, with a brief reversal early on at 3.6 to 5.7 percent.

The stiffest plate did not simply make one moment harder on the tendon; it added load across most of the time the foot spent on the ground.Fitness Living Magazine analysis

Experience Changed the Curve, Not the Peak

The comparison between experienced and novice runners produced a subtler picture than the shoe comparison. Group effects on peak Achilles tendon force and on tendon impulse were not significant. Experience did not simply mean more load.

What did differ was how quickly load arrived. Achilles tendon loading rate was higher in the experienced runners, at a Holm-corrected p of 0.030 and a partial eta squared of 0.208, and the waveform analysis showed higher estimated force across several stretches of stance with a short period of lower force in early contact.

Reading that as better or worse would be premature. A faster loading rate can reflect a more efficient, springier stride, or it can reflect a tendon absorbing demand more abruptly. A model of one running speed cannot distinguish an adaptation from a risk.

A man running along the side of a road, where shoe bending stiffness changes ankle and tendon mechanics
All 31 participants were rearfoot strikers running at one controlled speed of 4.17 metres per second. Image: Tikkho Maciel / Unsplash

The Missing Interaction Is the Useful Result

No runner level by bending stiffness interaction was detected for the tendon loading outcomes. Statistically that is a null finding. Practically it is the most portable thing in the paper.

An interaction would have meant that bending stiffness affected experienced and novice runners differently, and that shoe advice would have to be split by ability. Its absence suggests the two influences operated through what the authors describe as distinct and independent pathways: bending stiffness did its work, experience did its own, and neither amplified the other.

A null result in 31 people is weak evidence, though. Interactions need larger samples to detect than main effects do, so the honest reading is that this study did not find one, not that none exists.

Important limitations
Achilles tendon force was not measured but estimated in silico from a subject-specific musculoskeletal model using static optimization, so every loading figure is a model output rather than a direct reading. The sample was 31 male rearfoot strikers running at one speed, which excludes women, forefoot and midfoot strikers, and the range of paces runners actually use. The authors note that the bending stiffness effect on peak ankle dorsiflexion appeared in discrete values without corresponding significant waveform effects. The record available at the time of writing is an early-share version carrying the abstract and metadata, so the complete methods and discussion could not be reviewed, and it may be replaced by a final version of record.

What Bending Stiffness Findings Mean for Choosing Shoes

Nothing here says carbon plates are harmful, and nothing here says they make anyone faster. This study did not measure performance, injuries or running economy. It estimated tendon load in a laboratory, over single steps, in one group of men.

The bending stiffness result does add weight to a caution that has been circulating among coaches for several years. If a stiffer plate increases cumulative Achilles loading, then a sudden move into very stiff racing shoes is a change in training stress, not merely a change in equipment. Treating it as the former is the sensible default.

Some general, non-individualized points follow reasonably from that:

  • Introduce a much stiffer shoe gradually rather than debuting it on a long or hard session.
  • Rotating footwear means the tendon is not loaded the same way every run, which is a reasonable hedge given the uncertainty.
  • The middle bending stiffness condition already raised tendon impulse, so stiffer is not automatically a bigger dose of the same thing.
  • Persistent Achilles pain is a reason to see a clinician, not a reason to change shoes and hope.

Footwear research has arrived at a similar place to gait research. Work on retraining runners away from a rearfoot strike found that changing one part of the chain shifts load somewhere else rather than removing it, and reviews of proximal exercise for flexible flatfoot reach the same conclusion from the opposite direction.

That is the frame this paper fits into. Load moves; it rarely disappears. Related laboratory work on foot function screening and running performance and on lung function in marathon runners shows how narrow each individual measurement in this field tends to be, and how much the useful picture depends on stacking several of them together.

The Fitness Living Takeaway

Increasing shoe bending stiffness raised both model-estimated peak Achilles tendon force and tendon impulse in 31 male rearfoot strikers, with the impulse effect the stronger of the two.

Runner experience changed the shape and rate of tendon loading without changing its peak, and no interaction between experience and stiffness was detected. Because the forces were modelled rather than measured, in a small single-sex sample at one speed, these are laboratory estimates rather than injury findings. The reasonable inference is that a large jump in bending stiffness is a change in training load worth introducing gradually.

Research & Sources

This article summarizes peer-reviewed research for general information and is not individualized medical or exercise advice.

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