Question

Match List-I (Elastic properties of
an isotropic elastic material) with
List-11 (Nature of strain produced)
and select the correct answer
using the codes given below the
Lists:
List-1
List-11
A. Young's modulus 1. Shear
strain
2.
B. Modulus of rigidity
Normal strain
C. Bulk modulus
Transverse strain
D. Poisson's ratio
Volumetric strain
3.
4.
Select one:​

Answer 1

Answer:

mental health issues with family and friends

Answer 2

Answer:

The correct answer is (2)the ratio of stress to strain within the elastic limit, (1) The ratio of lateral strain to linear strain within the elastic limit,(4) The ratio of direct stress to corresponding volumetric strain and

(3) the ratio of shear stress to shear strain within.

Explanation:

Given that:

Elastic constant with definition and Explanation:

a) young’s modulus

Answer:

(2)the ratio of stress to strain within the elastic limit.

Explanation:

• Let us consider, the mechanical property of a material to be the compression or elongation to its length of elastic solids that are linear in nature.
• They are rodes and wires which is called as Young’s modulus.
• It is also called to be known as Tensile or Elastic modulus.
• It has a information about elasticity of the material of tensile which will be seen along the axis.

Formula for young’s modulus is given by,

E = The normal stress/ The normal strain = σ/ ε

Here, E is known as young’s modulus in Pa

σ   is known as the stress in pa of the uniaxial

ε is known as normal strain of the deformation which is proportional.

b) Poisson's ratio

Answer:

(1) The ratio of lateral strain to linear strain within the elastic limit.

Explanation:

• The modulus of Rigidity is also called as shear modulus.
• It has a property related to mechanical of the material that will withstand the stress that is shear and torsion will be resisted.

The formula for shear modulus is given by,

When the ratio of shear stress is the corresponding shear strain and it is within elastic limit.

G = shear stress/ shear strain = T / ∅

c) bulk modulus

Answer:

(4) The ratio of direct stress to corresponding volumetric strain.

Explanation:

The poisson’s ratio is defined as the,

the body which is loaded with limit of the elastic and the ratio is found to be in lateral or transverse strain and longitudinal strain will remain to be constant.

The formula of Poisson’s ratio is:

μ  = - lateral strain/ linear strain

Here, lateral strain is denoted by negative sign

linear strain is denoted by positive sign

d) Rigidity modulus

Answer:

(3) the ratio of shear stress to shear strain within.

Explanation:

The rigidity modulus is defined by the Shear modulus, which is called as Modulus of rigidity.

It is known to be the measurement of the rigidity of the body,

Which is given by the ratio of shear stress to shear strain.

Formula of rigidity modulus is:

G = Fl/ A Δ x

Here, f is force that is acting on the body

I is length that is initial

Δ x is the change of the length

A is known as the area

#SPJ2