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Chapter:

Simple-Stress-and-Strain

1. The modulus of rigidity and modulus of elasticity of a material are 80 GPa and 200 GPa. What will be Poissons ratio of material?

0.25 0.30 0.40 0.50

0.25

As E = 2G(1 + ?) putting E = 200 and G = 80 we get ? = 0.25.

Hint Answer

2. Why is strain fundamental property but not stress?

Because it is dimensionless Because it is a ratio Because it’s value is calculated in the laboratory No stress is the fundamental property

Because it’s value is calculated in the laboratory

The stress is fundamental property because it is calculated in laboratory. It is a non dependable value.

Hint Answer

3. The Poissons ratio of a material is 0.3. what will be ratio of Youngs modulus to bulk modulus?

1.4 1.2 0.8 0.6

1.2

As we know E = 3k(1- 2?)
So E/K = 3(1-2�0.3) = 1.2.

Hint Answer

4. A tensile test was conducted on a steel bar. The gauge length of bar was 10cm and extension was 2mm. What will be percentage elongation?

0.002 0.02 0.2 2

2

The percentage elongation = dL/L x 100 = 2/100 x 100 = 2.

Hint Answer

5. Which point on stress strain curve occurs after proportionality limit?

Upper yield point Lower yield point Elastic limit Ultimate point

Elastic limit

The curve will be stress strain proportional upto proportionality limit. After se, elastic limit will occur.

Hint Answer

6. Limit of proportionality depends upon ________

Area of cross-section Type of loading Type of material All of the mentioned

Area of cross-section

The proportionality limit is proportional to area of cross-section. The material type and loading type will have no influence on proportionality limit.

Hint Answer

7. As elastic limit reaches, tensile strain ______

Increases more rapidly Decreases more rapidly Increases in proportion to the stress Decreases in proportion to the stress

Increases more rapidly

On reaching tensile stress to elastic limit after proportionality limit, stress is no longer proportional to strain. Then value of strain rapidly increases.

Hint Answer

8. What is expression for modulus of rigidity in terms of modulus of elasticity and Poissons ratio?

G = 3E / 2(1 + μ) G = 5E / (1 + μ) G = E / 2(1 + μ) G = E/ (1 + 2μ)

G = E / 2(1 + μ)

The relation between modulus of rigidity, modulus of elasticity and Poissons ratio is given as
G = E / 2(1 + ?).

Hint Answer

9. How can be Poissons ratio be expressed in terms of bulk modulus(K) and modulus of rigidity(G)?

(3K – 4G) / (6K + 4G) (3K + 4G) /( 6K – 4G) (3K – 2G) / (6K + 2G) (3K + 2G) / (6K – 2G)

(3K – 2G) / (6K + 2G)

There are four elastic modulus relationships. relation between Poissons ration, bulk modulus and modulus of rigidity is given as
? = (3K ? 2G) / (6K + 2G).

Hint Answer

10. If E,G and K have ir usual meanings, for an elastic material, n which one of following be possibly true?

G = 2K G = K K = E G = E = K

K = E

As E = 2G(1 + ?) = 3K(1 ? 2?) = 9KG / (3K + G)
The value of ? must be between 0 to 0.5, so as E never equal to G but if ? = 1/3, n E=K.

Hint Answer

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Topics

This Chapter Simple-Stress-and-Strain consists of the following topics

Simple Stress and Strain

The modulus of rigidity and modulus of elasticity of a material are 80 GPa and 200 GPa. What will be Poissons ratio of material?

Why is strain fundamental property but not stress?

The Poissons ratio of a material is 0.3. what will be ratio of Youngs modulus to bulk modulus?

A tensile test was conducted on a steel bar. The gauge length of bar was 10cm and extension was 2mm. What will be percentage elongation?

Which point on stress strain curve occurs after proportionality limit?

Limit of proportionality depends upon ________

As elastic limit reaches, tensile strain ______

What is expression for modulus of rigidity in terms of modulus of elasticity and Poissons ratio?

How can be Poissons ratio be expressed in terms of bulk modulus(K) and modulus of rigidity(G)?

If E,G and K have ir usual meanings, for an elastic material, n which one of following be possibly true?

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