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The coefficient that relates a particular type of stress to the strain that results is called an elastic modulus (plural, moduli). Elastic moduli are properties of materials, not objects. There are three basic types of stress and three associated moduli.
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In physics and materials science, elasticity is the ability of a body to resist a distorting influence and to return to its original size and shape when that influence or force is removed.
Coefficient of Elasticity = Stress × [Strain]-1 Or, Elasticity = [M 1 L -1 T -2 ] × [M 0 L 0 T 0 ] -1 = [M 1 L -1 T -2 ]. Therefore, coefficient of elasticity is dimensionally represented as [M 1 L -1 T -2 ].
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- Example 5.3. The Stretch of a Long Cable. Suspension cables are used to carry gondolas at ski resorts. (See Figure 5.14) Consider a suspension cable that includes an unsupported span of 3020 m. Calculate the amount of stretch in the steel cable.
- Example 5.4. Calculating Deformation: How Much Does Your Leg Shorten When You Stand on It? Calculate the change in length of the upper leg bone (the femur) when a 70.0 kg man supports 62.0 kg of his mass on it, assuming the bone to be equivalent to a uniform rod that is 40.0 cm long and 2.00 cm in radius.
- Stress. The ratio of force to area, FAFA, is defined as stress measured in N/m2.
- Strain. The ratio of the change in length to length, ΔLL0ΔLL0, is defined as strain (a unitless quantity). In other words, stress=Y×strain.stress=Y×strain.
INTRODUCTION TO ELASTICITY. David Roylance Department of Materials Science and Engineering Massachusetts Institute of Technology Cambridge, MA 02139 January 21, 2000. Introduction.
The subject of elasticity deals with the behavior of those substances which have the property of recovering their size and shape when the forces producing deformations are removed. We find this elastic property to some extent in all solid bodies.
1 Index notation. as and equations of elasticity, we ne. he most common one used is the Einstein conven-tion. This set of rules states that every index that is repeated once in a product implies a summation over. that index from 1 to n for an n-dimensional problem. Any free index (i.e. not repeated in a product) implies a set of form.
