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Flex Test Activity
Introduction

Note: This activity was co-developed with Mark Blaser and was funded, in part, by an NSTA TAPESTRY Grant.

One of the most easily overlooked characteristics of an athletic shoe is its ability to flex. If a shoe flexes easily, it requires little force to bend and uses a small fraction of an athlete's available energy. However, shoes that flex easily can provide less support and cushioning--possibly increasing the chance of injury. The need for shoes to flex varies from sport to sport. Shoes that are designed for basketball, for example, will have significantly different flexion characteristics than a shoe designed for bike racing. Sport researchers and shoe designers try to find the optimal amount of flex that best match the requirements of a particular sport.

Kids Flex Test

Figure 1 - Students Test Different Shoes With Flex Test.

What are the flex characteristics an athelete would require in a bike shoe vs. a basketball shoe?

The primary area of the shoe that needs to flex, for most sports, is in the forefoot area. This may seem logical when one considers the structure of the foot. When walking barefoot and observing from the side, it is apparent that the foot flexes naturally near the "ball" of the foot. However, sport researchers and shoe designers virtually ignored this "natural" consequence of locomotion until the 1980's.

With the advent of sport research labs it became apparent that flexion, in most sports, was absolutely necessary, and, in fact, if not allowed could lead to injury. Initially this realization led to the advent of "flex lines, or grooves" (Figure 2) in the forefoot area of the shoe. These indentations allow for the shoe to flex more easily. However, further study pointed out two factors not considered in designing early flex lines.

First, wear tests on shoes with the new innovation showed that flex lines tended to be areas where the mid-sole and out-sole would crack. The flex lines actually weakened these areas of the shoe and caused them to break down too quickly.

Second, foot morphology studies showed that the flex lines had to be placed differently depending on the size of the foot. Placing the flex lines was not a simple matter of putting them "one-third" of the way from the front of the shoe. What the scientists found by studying thousands of feet was that an equation, or a model, could be developed that fit how the foot changed, or "scaled", for different size feet.

Scaling is an interesting concept that is applied in many areas of science. Scaling is the study of how various characteristics change as an object, like an organism, or some characteristic of an organism, is increased or decreased in size. In shoe design, scaling allows for the proper placement of the flex lines by describing variations in size (i.e. foot size) with a mathematical model.

Flex Lines
Figure 2 - Flex Lines in Basketball Outsole.
Foot Morphology Platform

Figure 3 - A Foot Morphology Platform.

Sport researchers took thousands of pictures of different feet to see how they varied. How many different ways do you think you might group feet to study variation? (Hint: One of the first studies was to look at variation between the sexes.)

The flex test was developed by sport researchers to test the effectiveness of placement of flex lines; to see if a flex line hurt the overall durability of the shoe; and lastly, whether too much force was required to flex the shoe.

Objectives

In this activity students will set up, run, and apply a flex test. At the end of this activity students will understand:

  1. How and why a sport researcher or shoe designer would use flex testing,
  2. How to measure the force required to flex a shoe and to make a comparison of the shoe's flex characteristics relative to its performance goals, and,
  3. How to relate the force required to flex a shoe to the energy requirements of a sport.

This activity provides an overview of setting up and running flex tests similar to those run in a sport research lab. The format, like all Slam Dunk Science Activities, is designed to leave further avenues of research up to the student.

Materials
  • MacMotion and Graphing (optional) Software
  • Macintosh or IBM-compatible Computer
  • Universal Lab Interface (ULI)
  • Force Probe
  • Known Mass (a few 100 grams) for Calibration
  • Clamp or Vise
  • Protractor
  • Strap (approximately 15") to help flex shoe
  • Variety of Shoes for Testing
Procedure

This procedure uses MacMotion, a force probe, and a ULI available through Vernier Software. This setup, running on a Macintosh computer, provides a good balance between ease of use, features, and cost. Other hardware and software can be substituted. In fact, a "low tech" version of the flex test can be run without computers using spring scales and careful observation. It is suggested that you familiarize yourself with the MacMotion software, force probe, and ULI before you start this procedure. This activity is based on the assumption that you have done so before you start.

It is important to realize that the flex test as outlined here is relatively simple. You will most likely see how you can modify the test to improve its accuracy. For example, adding a potentiometer and recording the angle via the software and ULI will greatly improve the accuracy of the data collected. The authors encourage students and teachers to develop their own improvements, to share them with us (via the Internet) and, in turn, to share them with other schools.

Setting up a Flex Testing Device (See Figure 1 as a guide for setting up the flex test)

  1. 1. Using a clamp, attach the forefoot area of the shoe firmly to the edge of a solid surface (a lab table is ideal). Determine where the shoe naturally flexes at or near the ball of the foot, and attach the shoe so that it will flex along this line.
  2. Attach the force probe to the heel area of the shoe using a strap placed around the heel of the shoe. You might want to tape this strap to the base of the shoe so that it will not move when force is applied. You will pull on the shoe by pulling the force probe to flex the shoe.
  3. It is important that you are consistent through the range of motion you will flex the shoe. Attach a protractor, or draw the desired angle of flex on a cardboard surface next to the shoe to provide a reference to help you when you begin to collect data. Choose a reasonable angle of flex, the standard for flex testing varies, but most labs flex shoes a maximum of 45 degrees over a 2 second time interval.
  4. Practice flexing the shoe and collecting data. Try to be as consistent as possible.

Setting up the Force Probe, ULI, and MacMotion

  1. Connect the ULI to the Macintosh and connect the force probe to the ULI. Turn on the ULI and open MacMotion.
  2. From the Collect menu, select Force Only Data.
  3. From the Collect menu, select Zero Force.
  4. Again from the Collect menu, select Calibrate Force..., then click on Calibrate Now.
  5. In order to calibrate the force, make sure the force probe is experiencing no force, then click on OK.
  6. Next, hang a known force from the probe. Use a known mass of less than one kilogram; the force due to the hanging mass is given by F = m.a , with m = the mass (in kilograms) and a = 9.81 m/s2 (the acceleration due to gravity). Calculate the force in Newtons due to the the mass of the object, enter the force (in N). Be sure to hold the force probe steady with the weight dangling, and click on OK. The probe is now calibrated.
  7. Experiment a bit with the force probe in order to become familiar with its characteristics. Click on Start and gently pull and push on the hook at the end of the probe. What happens to the graph on the screen?
  8. If your force data has gone beyond the scale shown in the graph, you can adjust the Force axis by selecting Axes... from the Display menu, and entering other values for minimum and maximum force in the Force axis boxes. You can also reach the Axes... window by double-clicking on the one of the axes of the graph itself.

Collecting Flexion Data

  1. Now you are ready to collect data. Attach the end of the force probe through the strap at the heel of the shoe and click on Start. Wait one or two seconds, and pull in order to flex the shoe. Remember to pull smoothly and evenly until you reach your chosen angle of flex, hold at that spot for a second or so, and gently allow the shoe to return to its original position.
  2. To determine the maximum force that it took to flex the shoe, select Analyze Data A from the Analyze menu, and use the mouse to move the vertical line to the desired location of the force graph. Note that both Force and Time data appear below the graph. Record the type of shoe, maximum angle of flex, and maximum force in a data table like the one below. Be sure to indicate the units of measurement for flex and force.
Type of Shoe
Angle of Flex (Maximumm)
Force (Maximum)
     
     
     
     
     

Presenting the Results Graphically

  1. In order to analyze the data, it is helpful to present the results graphically. Quit MacMotion and Open Excel or some other graphing package that you are familiar with.
  2. When the spreadsheet appears, enter "SHOES" as a column header and the types of shoes you tested in the cells below. Enter "FORCE TO FLEX" as a header in the next column, and the flexion force for each shoe in the cells below the header. Be sure that the shoe and force correspond.
  3. Highlight the two data columns and click on the Graph Icon (or select Plot... from the Chart menu). Select a Column chart and click on Plot. You may want to experiment with the different possible ways to display your data, such as Column with Depth, Scatter, Pie, 3-Dimensional, etc. Which graph type seems to best summarize your experimental results?
  4. You can add text (such as a title) to your graph, change colors, switch axes, and do many other things to improve your presentation. Be sure to make a permanent record of your work by saving your graph or printing it out.
Discussion

By itself, merely collecting a bunch of data is not very useful. In order to have meaning, the results must be analyzed and interpreted. For example, simply measuring that the Super HangTime Basketball Shoe requires 12.7 N to flex through an angle of 45° does not convey much information. However, by knowing that the Super HangTime shoe requires 12.7 N of flexion force, while the SkyJammer Special needs 18.4 N to bend through the same angle, you can compare the forces involved in using each shoe--a 45% larger force is needed to flex the SkyJammer than the Super HangTime shoe. As a result, energy costs for flexing can be compared from shoe to shoe.

In addition, energy required for flexion can be determined as a fraction of total energy requirements for a specific sport, and effects on sport performance estimated. Finally, other important design properties--such as cushioning and motion control--can be considered to best balance performance characteristics with the demands of the specific sport the shoe is designed for.

Use your data to answer the following questions:

  1. Which shoe required the least force to flex?
  2. Which needed the most?
  3. How well does each shoe's flex characteristics correspond to the performance requirements of the sport it was designed for?
  4. How could you improve the flexibility of the shoe that required the most force to flex?
  5. Will the flex characteristics of the shoe lead to the shoe breaking down faster?

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