Question

Results obtained from a tension test on a bar of uniform cross section 10 mm x 10 mm subjected to an axial pull of 8000 N were tabulated. The lateral dimensions of the bar were found to be changed to 9.9985 mm x 9.9985 mm while using a material having modulus of rigidity equal to 0.8 x 107 N/cm2. By determining the values for different moduli, identify the properties of material and establish the relationship between them. What changes will happen to the volume if the length of the bar is equal to 2.5 m? Based on the results obtained discuss how the elastic constants are related to the deformation of the bar?   

Answer 1

ANSWER:--

elastic constants are realated to the deformation of the bar in following ways:

MODULUS OF RIGIDITY(C):--  MODULUS OF RIGIDITY. Modulus of rigidity is the ratio of shear stress to the corresponding shear strain within the proportional limit of a material. Modulus of rigidity is also known as shear modulus and rigidity modulus.

POISSONS RATIO(U):-- the ratio of the proportional decrease in a lateral measurement to the proportional increase in length in a sample of material that is elastically stretched.

MODULUS OF ELASTICITY(E):--  is a quantity that measures an object or substance's resistance to being deformed elastically (i.e., non-permanently) when a stress is applied to it.

BULK MODULUS(K):-- he bulk modulus (or ) of a substance is a measure of how resistant to compression that substance is.It is defined as the ratio of the infinitesimal pressure increase to the resulting relative decrease of the volume.