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QUESTION: 1

Strain is defined as ratio of

Solution:

The strain is defined as the** ratio of change in dimension to the original dimension.**

If ‘δl’ changes in the length and ‘l’ is the original length, strain = δl/l

**Important Terms:**

- The ratio of change in length to the original length is called the
**longitudinal strain.** - The ratio of change in diameter/breadth to original diameter/breadth is called the
**lateral strain.** - The
**volumetric strain**of a deformed body is defined as the ratio of the change in volume of the body to the deformation to its original volume. **Shear strain**is defined as the strain accompanying a shearing action. It is the angle in radian measure through which the body gets distorted when subjected to external shearing action.

QUESTION: 2

Consider the following stress-strain diagram and match the following:

List - I

List - II

1. Hard rubber

2. Soft rubber

3. Structural steel

4. Aluminium alloy

Solution:

QUESTION: 3

Young's modulus is defined as the ratio of

Solution:

The linear relationship between stress and strain for a bar in simple tension or compression can be expressed by the equation

in which Eis a constant of proportionality known as modulus of elasticity for the material. The modulus of elasticity is the slope of the stress- strain diagram in the linearly elastic region and its value depends upon the particular material being used.

QUESTION: 4

Match List-I (Material) with List-ll (Young’s modulus):

Solution:

QUESTION: 5

The permanent mode of deformation of a material known as ____________

Solution:

Plasticity is defined as the property of a material due to which it is permanently deformed due to loading. Elasticity is the temporary form of deformation. Twinning and Slip are mechanisms of Plastic deformation.

QUESTION: 6

A thin mid steel wire is loaded by adding loads in equal increments till it breaks. The extensions noted with increasing loads will behave as under

Solution:

At first, the strain is proportional to strain or elongation is** proportional** to the load giving a straight-line relationship.

A further increase in the load after yield load will cause marked deformation in the whole volume of the metal. **The maximum load which the specimen can withstand without failure is called the load at the ultimate strength.**

QUESTION: 7

Match List-1 (Materia!) with List-ll (Poisson’s Ratio)

Solution:

QUESTION: 8

During a tensile test on a specimen of 1 cm^{2} cross-section, maximum load observed was 80 kN and area of cross-section at neck was 0.5 cm^{2}. UTS of specimen is

Solution:

= 800 MPa

QUESTION: 9

A prismatic bar of circular cross-section is loaded by tensile forces P= 90 kN. The bar has length L = 3 m and diameter d = 30 mm. If is made of aluminium with modulus of elasticity E = 70 GPa and Poisson’s ratio v = 1/3. What is the increase in volume ΔV of the bar?

Solution:

QUESTION: 10

Resilience of a material is considered when it is subjected to

Solution:

Resilience represent the ability of the material to absorb energy within the elastic range.

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