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What is the modulus of resilience and how is it used in mechanics of materials?

The modulus of resilience is a measure of the ability of a material to absorb energy when it is subjected to an elastic deformation. It is an important mechanical property of materials that is used to predict their behavior under load and to design and analyze structures and components.

What is the Poisson’s ratio of a material and how is it used in mechanics of materials?

The Poisson’s ratio of a material is a measure of the material’s ability to deform in response to an applied load. It is a dimensionless quantity that is typically denoted by the symbol “nu” and is defined as the ratio of the transverse strain to the axial strain in a material when it is subjected to a uniaxial tensile or compressive load.

What is the shear modulus of a material and how is it used in mechanics of materials?

The shear modulus, also known as the modulus of rigidity, is a measure of the stiffness of a material when it is subjected to shear stress. It is a mechanical property of materials that is used to predict their behavior under shear loading and to design and analyze structures and components that may be subjected to shear forces.