The Mechanical engineering, is plays a important branch role in the today's Technology that Assist you to done things with ease, so let's learn about Concept of Relation between Young Modulus, Modulus of Rigidity, Bulk Modulus, and Poisson’s Ratio that helps to modernize our society.
Importance of Elastic constants in Engineering:-
The Young's modulus or modulus of rigidity, bulk modulus and poison's ratio combination of all these are called elastic constants.
These Elastic constants helps to calculate the magnitude of the deformation, in strength of materials.
Also it is important problem solving in engineerings.
So considering these parameters the relationship between elastic constants is much important, so let's learn about the various relationship between elastic constants.
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Relations between Elastic constants is as follows:-
1. Relation between Modulus of elasticity (or) Young Modulus (E) and Modulus of Rigidity (G):-
The relation between modulus of elasticity and modulus of rigidity is important for solving much problems in engineering related.
The relation is as follows,
Where,
E = modulus of elasticity.
G = modulus of rigidly.
μ = poison's ratio.
2. Relation between modulus of elasticity or Young Modulus (E) and Bulk Modulus (K):-
The relation between modulus of elasticity and bulk modulus is much important for solving engineering related problems.
The relation is as follows,
Where,
E = Young's modulus.
K = Bulk modulus.
μ = poison's ratio.
3. Relation between Young Modulus(E), Bulk Modulus(K) and Modulus of Rigidity(G):-
The Relation between Young Modulus, Bulk Modulus and Modulus of Rigidity is very much important to solve the problems in engineerings.
The relation is as follows,
Where,
E = Young's modulus.
K = Bulk modulus.
G = Shear modulus.
4. Relations between modulus of rigidity or shear modulus (G) poison's ratio (μ) and bulk modulus (K) :-
The formula regarding poison's ratio:-
Where,
K = Bulk modulus
μ = poison's ratio
G = Shear modulus or modulus of rigidity
To Solving the engineering related problem this relation are most important.
Here we concluding, If you have any queries about the topic of Relation between Young Modulus, Modulus of Rigidity, Bulk Modulus, and Poisson’s Ratio then feel free to comment below.
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