What is theory of elasticity?

The theory of elasticity treats the relationship between forces applied to an object and the resulting deformations. In practice, the analysis of the elastic behaviour of a material is reduced to the study of simple deformations and the determination of the corresponding elastic constants.

What is strength of materials What is the difference between strength of materials and other forms of mechanics?

Strength of Materials: subject which deals with the behavior of solid objects subject to stresses and strains. Mechanics- deals with the behaviour of body…it is any body rigid plasticity elasticity and fluid bodies.

What is elasticity in strength of materials?

Elasticity is the ability of a material to return to its previous shape after stress is released. In many materials, the relation between applied stress is directly proportional to the resulting strain (up to a certain limit), and a graph representing those two quantities is a straight line.

What are the application of theory of elasticity?

Elasticity is concerned with determining the strength and load carrying ability of engineering structures including buildings, bridges, cars, planes, and thousands of machine parts that most of us never see. It is especially important in the fields of mechanical, civil, aeronautical and materials engineering.

What are the assumptions of elasticity theory?

The fundamental “linearizing” assumptions of linear elasticity are: infinitesimal strains or “small” deformations (or strains) and linear relationships between the components of stress and strain. In addition linear elasticity is valid only for stress states that do not produce yielding.

Who made the theory of elasticity?

The Prussian mathematician Leo August Pochhammer analyzed the vibrations of an elastic cylinder, and Lamb and the Prussian physicist Paul Jaerisch derived the equations of general vibration of an elastic sphere in the 1880s, an effort that was continued by many seismologists in the 1900s to describe the vibrations of …

What is the difference between elasticity and plasticity?

Elasticity is the property of a body to recover its original configuration (shape and size) when you remove the deforming forces. Plasticity is the property of a body to lose its property of elasticity and acquire a permanent deformation on the removal of deforming force.

What is theory of elasticity in civil engineering?

Theory of elasticity deals with the stress and displacements in elastic solids generated by external forces. Some Important Aspects in theory of elasticity: Stress Components. There are two types of stresses acting on each face of an element namely, Axial stress ( – normal): acting perpendicular to the face.

Who gave the theory of elasticity?

In 1863 Kelvin had derived the basic form of the solution of the static elasticity equations for a spherical solid, and these were applied in following years to such problems as calculating the deformation of the Earth due to rotation and tidal forcing and measuring the effects of elastic deformability on the motions …

What are the assumptions made in the elastic theory of reinforced concrete sections explain?

Fundamental assumptions of elastic theory of bending The concrete and steel reinforcement are perfectly bonded.It means that the tensile strain in steel reinforcement is equal to the tensile strain in concrete surrounding the steel. All tensile stresses are taken up by steel and none by concrete.

What is the theory of elasticity in physics?

The theory of elasticity treats the relationship between forces applied to an object and the resulting deformations. In practice, the analysis of the elastic behaviour of a material is reduced to the study of simple deformations and the determination of the corresponding elastic constants.

What is the main difference between elasticity and plasticity?

The main difference between elasticity and plasticity is that elasticity causes reversible deformations of matter whereas plasticity causes irreversible deformations of matter. 1. “12.4: Elasticity and Plasticity.”

What is the difference between elastic deformation and elasticity?

Such a deformation, which is temporary and easily recoverable, is called elastic deformation. Corresponding property of the material by virtue of which the structure tends to regain its shape after the removal of external load is called elasticity.

Is elasticity a physical or chemical property?

Elasticity is the ability of an object or material to resume its normal shape after being stretched or compressed. Hence, elasticity is a physical property. Materials showing a high degree of elasticity are termed elastic materials. Plasticity is also a physical property of matter.