{"id":4254,"date":"2021-08-07T09:50:24","date_gmt":"2021-08-07T09:50:24","guid":{"rendered":"https:\/\/www.guyhowto.com\/?p=4254"},"modified":"2024-02-23T17:54:00","modified_gmt":"2024-02-23T17:54:00","slug":"modulus-of-elasticity-and-types","status":"publish","type":"post","link":"https:\/\/www.guyhowto.com\/modulus-of-elasticity-and-types\/","title":{"rendered":"Modulus of Elasticity and Types"},"content":{"rendered":"
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Definition<\/strong><\/p>\n

Elastic modulus is the ratio of stress, below the proportional limit, to the equivalent stress. It is the measure of rigidity or stiffness of a substance (material).<\/p>\n

In regards to the stress-strain curve, the modulus of elasticity is the slope of the stress-strain curve in the series of linear symmetry of stress to strain.<\/p>\n

Elastic modulus is additionally known as modulus of elasticity and is in some cases referred to as Young\u2019s modulus.<\/p>\n<\/div>\n

According to Hook\u2019s law:<\/strong><\/h5>\n

Stress is directly proportional to strain, within elastic limit.<\/p>\n

Stress \u221dStrain<\/p>\n

Stress = constant (Strain)<\/p>\n

Or it can be<\/p>\n

Constant = stress\/strain<\/p>\n

So, within the elastic limit, the ratio of stress to strain remains constant. This constant is called elastic constant or modulus of elasticity.<\/p>\n

Unit: The unit of elastic modulus is N \/ m2<\/sup> or Pascal.<\/p><\/blockquote>\n

Types of Elastic Modulus<\/strong><\/h5>\n

Elastic Moduli can be of three kinds. These are Young\u2019s modulus, Shear modulus, and Bulk modulus.<\/p>\n

Young’s Modulus<\/strong><\/h6>\n

The ratio of the tensile stress to the tensile strain is referred to as Young’s modulus.<\/p>\n

\"Young's-Modulus-1\"<\/p>\n

Let us take into consideration a wire of size ‘L’ with an area of cross-section ‘A’. Allow one end of the wire is fixed with and also the other end is loaded or stretched. Let ‘I’ be the change in size due to the activity of the force, after that<\/p>\n

\"Young's-Modulus-2\"<\/p>\n

Shear Modulus<\/strong><\/h6>\n

Also known as the modulus of rigidity, the ratio of the shear stress to the shear strain is called the shear modulus. Shear Modulus is normally signified with the letter C.<\/p>\n

\"Shear-Modulus\"<\/p>\n

Bulk Modulus<\/strong><\/h6>\n

The ratio of the stress applied to the body on the body’s fractional reduction in volume is called the bulk modulus.<\/p>\n

Or simply, the ratio of volumetric stress to volumetric strain is called bulk modulus.<\/p>\n

Therefore, when a body is subjected to three mutually perpendicular stresses of the same strength, the ratio of the same intensity to the corresponding volumetric stress is what we call the Bulk Modulus. Bulk Modulus is generally signified with the letter K.<\/p>\n

\"Shear-Modulus-2\"<\/p>\n

Let us take into consideration a body of volume ‘V’ with an area of cross-section ‘A’. Allow three equal forces to act upon the body in equally perpendicular directions Let ‘V’ be the change in volume, because of the action of forces, after that<\/p>\n

\"Bulk-Modulus\"<\/p>\n

 <\/p>\n

MCQs<\/h3>\n
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