Module 1 Simple stresses and basics

MATCH THE FOLLOWING

1.Elongation of a bar due to its self-weight is computed by                  A.  1/2 (Force × Elongation

2.Poisson ratio is defined as                                               B. 1/2 YS^2

3.The work done in stretching a wire is_______.        C. Lateral strain divided by longitudinal strain

4.Which of the following expressions represents the energy stored in a stretched wire?                                                            D.WL/2AE  

• 1 --->C , 2---> B , 3--->D, 4--->A

• 1 --->D ,2 --->C , 3--->A , 4---> B

• 1 ---> C ,2 --->A ,3---> D , 4 --->A

• 1 --->D ,2 --->A ,3 --->C , 4--->B

 Calculate the modulus of resilience for a 2m long bar which extends 2mm under limiting axial stress of 200 N/mm²?

• 0.01

• 0.1

• 1

• 1.1

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

• 1.4

• 1.2

• 1

• 0.8

A rigid-jointed plane frame is stable and statically determinate if -

• 1. (m + r) = 3j

• 1. (3m + r) = 3j

• 1. (m + 3r) = 3j

• 1. (m -3r) = 3j

Match the following

1.relationship between modulus of elasticity and modulus of rigidity A. (3K – 2G) / (6K + 2G)   2.Poissons ratio be expressed in terms of bulk modulus(K) and modulus of rigidity(G)? B. E = 9KC / (3K + C)  
3.relationship between Youngs modulus E, modulus of rigidity C, and bulk modulus K? C. C = 2E / (1 + μ)  

4.RELATION BETWEEN YOUNGS MODULUS AND BULK MODULUS D. E=3K(1-2 μ) AA

• 1--->C , 2--->B ,3--->C, 4--->D

• 1--->B , 2--->C ,3--->D, 4--->A

• 1--->C , 2--->A ,3--->D, 4--->C

• 1--->C , 2--->A ,3--->B, 4--->D

The stress-strain diagram for two materials A and B is shown

below: The following statements are made based on this diagram:
I. Material A is more brittle than material B.
II. The ultimate strength of material B is more than that of A.
With reference to the above statements, which of the following applies?

• Material A is more brittle than material B.

• Both the statements are true.

• I is true but II is false.

• I is false but II is true.

What will be the shear modulus of the material with elastic modulus of 240 GPa and Poisson's ratio is 0.2?

• 80

• 100

• 120

• 90

The room-temperature stress (σ) -strain (ϵ) curves of four materials P, Q, R, and S are shown in the figure below. The material that behaves as a rigid perfectly plastic material is

• P

• Q

• S

• R

An axial pull of 35000 N is acting on a bar consisting of two lengths as shown with their respective dimensions. What will be the stresses in the two sections respectively in N/mm²?

• 111.408 and 49.5146

• 111.408 and 17.85

• 97.465 and 49.5146

• 97.465 and 34.263

For a material, Youngs modulus is given as 1.2 x 10⁵ and Poissons ratio 1/4. Calculate the bulk modulus.

• 0.7 x 10⁵

• 1.2 x 10⁵

• 0.8 x 10⁵

• 0.11