Module 1 (2)

A steel bar of 40 mm × 40 mm square cross-section is subjected to an axial compressive load of 200 kN. If the length of the bar is 2 m and E = 200 GPa, the elongation of the bar will be:

• 1.25 mm

• 2.70 mm

• 4.05 mm

• 5.40 mm

In terms of Poisson's ratio (μ) the ratio of Young's Modulus (E) to Shear Modulus (G) of elastic materials is

• 2(1+ μ)

• 2(1-μ)

• 0.5(1+μ)

• 0.5(1-μ)

The relationship between Young's modulus (E), Bulk modulus (K) and Poisson's ratio (μ) is given by:

• E= 3 K (1-2μ)

• K= 3E(1-2μ)

• E= 3K(1-μ)

• K= 3E(1-μ)

Which of the following is true (μ= Poisson's ratio)

• 0 < μ < 1/2

• 1 < μ < 0  

• 1 < μ < -1

• 2 < μ < -2

For a linearly elastic, isotropic and homogeneous material, the number of elastic constants required to relate stress and strain is:

• 2

• 3

• 4

• 6

The number of elastic constants for a completely anisotropic elastic material which follows Hooke's law is:

• 3

• 4

• 21

• 25

An orthotropic material, under plane stress condition will have---- independent elastic constants

• 15

• 4

• 5

• 9

Young's modulus of elasticity and Poisson's ratio of a material are 1.25 × 105 MPa and 0.34 respectively. The modulus of rigidity of the material is----- x (10)^5 MPa

• 0.4025

• 0.4664

• 0.8375

• 0.9469

If E, G and K denote Young's modulus, Modulus of rigidity and Bulk Modulus, respectively, for an elastic material, then which one of the following can be possibly true?

• G = 2 K

• G = E

• K = E

• G = K = E

If a material had a modulus of elasticity of 2.1 × 10^6 kgf/cm^2 and a modulus of rigidity of 0.8 × 10^6 kgf/cm2 then the approximate value of the Poisson's ratio of the material would be:

• 0.26

• 0.31

• 0.47

• 0.5