![]() ![]() Substituting, I, into the equation for E, we get That is, they both express a material’s ability to resist deformation under loads, although the loads they are resisting are different.įrom elastic beam theory, for a simply supported beam subjected to a concentrated load: In ideal elastic conditions, the flexural and tensile modulus of a material should be similar since they are both representations of mechanical strain. The Relationship Between Flexural Modulus and Tensile ModulusĪs bending occurs in the test sample, its top surface experiences compression forces while the opposite side undergoes tensile deformation, as such, flexural modulus measurements are best suited for isotropic materials, i.e., materials with uniform properties in all directions. M = the gradient (or slope) of the linear-elastic portion of the load-deflection curve. H = depth or thickness of the test sectionĪlternatively, flexural modulus may also be expressed as: Using the previously mentioned parameters, the flexural modulus, Ef is expressed as the formula below: The concentrated force is applied to the specimen, and the resulting deflection is noted. The 3-point Flexural test is typically carried out in accordance with ASTM D790. The second moment of area, I, of the specimen section is also calculated. During this test, a specimen of a fixed length, L, rests on two supports while a concentrated force, F, is applied to its center. The flexural modulus of a specimen is determined by subjecting it to a 3-point flexural test. Trenchlesspedia Explains Flexural Modulus How Is the Flexural Modulus of a Material Determined? The flexural modulus is also known as bend modulus or bending modulus of elasticity. The equivalent US customary unit for flexural modulus is pounds per square inch (psi). However, in materials, such as steel and concrete, this property is typically expressed as Megapascals or gigapascals (MPa or GPa). Since the flexural modulus is expressed as the ratio of stress to strain, the standard unit of measurement for flexural modulus is the Pascal (Pa or N/m2). Conversely, the lower the flexural modulus is, the easier it is for the material to bend under an applied force. In practical terms, the higher the flexural modulus of a material, the harder it is to bend. Ideally, the flexural modulus of a material is equivalent to its Young’s modulus. In other words, it is the change in stress divided by the corresponding change in strain. The flexural modulus of a material may be calculated graphically by measuring the slope of the linear portion of a typical stress-strain curve. ![]() It is typically measured when a force is applied perpendicular to the long edge of the sample. The flexural modulus of a material is a mechanical property that measures a material’s stiffness or resistance to a bending action. ![]()
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