Elasticity is the property of a material that enables it to return to its original shape and size after the removal of an external force. It is characterized by the ability to undergo deformation under stress and recover fully upon unloading. Elastic materials follow Hooke’s Law within their elastic limit.
Chapter 8 Mechanical Properties of Solids investigates the behavior of solid materials under various forces. It covers essential concepts such as stress strain elasticity and plasticity. The chapter also discusses important principles including Young’s modulus bulk modulus shear modulus and Poisson’s ratio which are vital for understanding material properties in engineering applications.
Definition of Bulk Modulus of Elasticity:
The bulk modulus of elasticity is the coefficient of a medium’s resistance toward uniform compression, defined as a ratio of relative change in volume to the intensity of pressure by which the material volume is decreased or increased. For mathematical expression the following is employed:
K=-ΔP/(ΔV\V)
where K is the bulk modulus ΔP is the change in pressure ΔV is the change in volume and V is the original volume.
Units:
The SI unit of bulk modulus is Pascal (Pa), which is equal to Newton per square meter (N/m²).
Dimensions:
The dimensions of bulk modulus are expressed as [M L⁻¹ T⁻²], where M is mass L is length and T is time.
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