Derivation Of Bulk Modulus Of Elasticity. B ΔP ΔVV Where. The mathematical representation of bulk modulus is given as follows. The SI unit of Youngs modulus is Nmm 2. Relation between bulk modulus and modulus of elasticity bulk modulus and modulus of elasticity somStrength of materials playlist Link- httpswwwyoutube.
Now we will find here Bulk modulus of elasticity K Bulk modulus of elasticity will be defined as the ratio of volumetric stress or hydro static stress to volumetric strain and therefore we will write here as mentioned here K σ 3 σ α 2β K 1 3 α 2β. It is defined as the ratio of the infinitesimal pressure increase to the resulting relative decrease of the volume. The reciprocal of bulk modulus is compressibility of a substance and this is the relation between bulk modulus and compressibility. For bulk modulus K 0. The mathematical representation of bulk modulus is given as follows. Bulk modulus for unit mass.
Now we will find here Bulk modulus of elasticity K Bulk modulus of elasticity will be defined as the ratio of volumetric stress or hydro static stress to volumetric strain and therefore we will write here as mentioned here K σ 3 σ α 2β K 1 3 α 2β.
σ Y σ Z σ. Bulk Modulus of Elasticity. Bulk Modulus Of Elasticity Formula. E Tensile or compressive strain. Unit of stress is N m -2 or Pa pascal and its dimensions are L. The bulk modulus of elasticity is describes volumetric elasticity or the tendency of an object to deform in all directions when uniformly loaded in all directions.