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Lab Module – Bending of Bone

MA302

A lab module with related accessories for an undergraduate biomechanics class

SKU: MA302 Categories: ,

Bending (or flexure) tests characterize the behavior of a sample with load applied perpendicular to its longitudinal axis. This undergraduate biomechanics class laboratory module consists of assessing mechanical properties of both wood stick and dry rat bone. Throughout this laboratory, each team will: test samples in 3-point bending; perform a measurement of the tester compliance; extract data from load-displacement curves to obtain maximum bending force and stiffness, elastic modulus in bending and the maximum flexural strength while considering sample geometry; understand the effect of the mechanical setup compliance on a mechanical test; learn how the structure of bone influence its mechanical properties.
Includes syllabus (instructor’s editable version) and turn-key sample preparation kit (e.g. birch wood sticks) allowing about 10 repetitions (team of 2-5 students).
Requires a Mach-1 tester (MA001 or higher), a uniaxial load cell (MA296 or MA297), a 3-point bending fixtures (MA097) and a testing chamber (MA626).

  • Deemed an excellent educational tool for students
  • Learning Goal – Become familiar with the safe operation of a mechanical tester
  • Learning Goal – Understand how the structure and composition of materials determine their mechanical behavior
  • Learning Goal – Become familiar with the dissection of biological samples
  • Learning Goal – Extract mechanical parameters from stress-strain curves
  • Learning Goal – Obtain flexural modulus of circular section and tube section samples
  • Learning Goal – Understand the effect of the tester and setup compliance on measured mechanical parameters
Team Size

from 2 to 5 students

Duration1

30 min (preparation)

Duration2

2 hours (hand-on work)

Duration3

30 min (data analysis)

Documents and resources (1)

Test configurations (1)

FAQ

What is the tester compliance?
The mechanical compliance is the inverse of the stiffness, it due to the deformation that occurs in the load cell, tester frame and mechanical setup during a mechanical test. When testing hard samples, this deformation may not be negligible; therefore, measurement of the setup compliance can be crucial in obtaining accurate mechanical properties. The tester compliance (or stiffness) depends on the tester configuration (e.g. height of the vertical stage on the frame, type of load cell, etc.) and the accessories installed. An easy way to measure the compliance of the tester is to replace the sample by a dummy sample much stiffer than the sample of interest (e.g. a piece of steel) or to remove the sample (for compression test) and then to apply a displacement. For example, if a flat indenter is contacted at the bottom of the testing chamber and a displacement is applied, the stage will be unable to move if the stiffness of the tester was infinite (zero compliance). In real situation, this would never be the case; the stage will be able to move but the load will increase rapidly. The entire mechanical setup can be modeled as two springs connected in series: one spring representing the tester stiffness and a second spring representing the sample stiffness. By looking at the load-displacement curve, the stiffness of the tester (or compliance) can be calculated.

Lab Module — Bending of bone

What is the elastic modulus in bending?
The elastic modulus in bending Ef : It is an intrinsic mechanical property of a material expressing the tendency of this material to bend. From the slope of the stress vs. strain graph during a flexural test and considering the geometry of the sample and the testing configuration (3-point bending), we can calculate the elastic modulus in bending. Although theoretically equivalent to the Young's modulus, these values may be different in experimental testing.

Lab Module — Bending of bone

LAB MODULE – Bending of Bone – Student Version

What is the area moment of inertia?
The area moment of inertia I is a quantity used in the calculation of an object's ability to resist bending. The area moment of inertia depends on the shape of the cross-section and is measured in units of mm4.

Lab Module — Torsion of bone

Lab Module — Bending of bone

LAB MODULE – Bending of Bone – Student Version

LAB MODULE – Torsion of Bone – Student Version

What is the maximum flexural strength?
The maximum flexural strength (σf ) is a material property defined as the stress in a material just before it yields (or plastic deformation) in a flexion (bending) test. The maximum flexural strength is independent of the samples shape and testing configuration (3-point bending). It represents the highest stress experienced within the material at the moment of yield.

Lab Module — Bending of bone

LAB MODULE – Bending of Bone – Student Version

What is the section modulus?
The section modulus Z is calculated as the ratio between the area moment of inertia and the distance from the centroid to the top or bottom edge of the sample (d/2).

Lab Module — Bending of bone

LAB MODULE – Bending of Bone – Student Version

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