When force is applied to a structural member, that member deforms and stores potential energy, just like a spring. The strain energy (i.e. the amount of potential energy stored due to the deformation) is equal to the work expended in deforming the member. The total strain energy corresponds to the area under the load deflection…
Definition and measurement. Density is mass per unit volume. It is measured in kg/m3. The density of a sample with a regular shape can be determined using precision mass balances and accurate measurements of the dimensions (to give the volume), but this is not the best way. Better is the “double weighing” method: the sample is weighed in…
Here we learn about relation between Young Modulus, Bulk Modulus and Modulus of Rigidity. All of these are elastic constant which are used to design any machinery part or structure. We have discussed about these three constant in our last post and know all of them are ratio of stress to strain in different…
Stress: “When a body is subjected to some external force, there is some resistive force generated per unit area, This resistive force generated per unit area is known as ‘Stress’.” Mathematically is written as, Units of stress: As the stress is given as Load upon Area It’s units depends on the unit of force and unit of…
Elasticity ” When a body is subjected to an external force, the body tends to undergo some deflection. When the external force is removed, the body regains it’s original position. Such a body is said to be ‘ELASTIC BODY’. This property, by which the material regains it’s original position is called ‘ELASTICITY’. “ Elasticity of Rubber Band For e.g. When a rubber…
Hooke’s Law states that the strain of the material is proportional to the applied stress within the elastic limit of that material. When the elastic materials are stretched, the atoms and molecules deform until stress is been applied and when the stress is removed they return to their initial state. When force is applied to a material,…
STRAIN When a body is subjected to an axial load, there is increase in length in one direction at the same time the dimensions decrease in perpendicular directions. Hence, the ratio of change in dimension to original dimension is known as “STRAIN” Forces on a body showing strain. Types of Strains There are two types…
Analysis of a hanging beam: A BAR HANGING Let AB is the rod hanging from a ceiling from the end A. Then let, W= Unit weight of the bar, L= length of bar, A=Area of cross section, E= Young’s modulus for the bar material Then elongation of the bar is given by delta ( l ) Formula…
Poisson’s ratio is defined as the negative of the ratio of the lateral strain to the axial strain for a uniaxial stress state. If a tensile load is applied to a material, the material will elongate on the axis of the load (perpendicular to the tensile stress plane), as illustrated in Figure 1 (a). Conversely, if…
Types of Elastic Modulii There are two types of elastic modulus based on the nature of the stresses: 1)Modulus of Elasticity ( compressive or tensile stress ) 2)Modulus of Rigidity ( Shear stress ) Modulus of Elasticity ” Modulus of Elasticity is also called as “Young’s Modulus”. The ratio of tensile stress or compressive stress to corresponding stain is a…