Explore topic-wise MCQs in Mechanical Metallurgy.

This section includes 8 Mcqs, each offering curated multiple-choice questions to sharpen your Mechanical Metallurgy knowledge and support exam preparation. Choose a topic below to get started.

1.

The value of constant k in Tresca s yielding criteria in case of pure shear will be equal to ___________ Given that Principle stress being 1, 2, 3 and yield stress in tension and pure shear are equal to o and .

A. k = <sub>o</sub>
B. k = <sub>o</sub>/2
C. k = <sub>o</sub>/3
D. k = <sub>o</sub>/4
Answer» C. k = <sub>o</sub>/3
Discussion
2.

Tresca or maximum-shear stress criteria assumes that yielding occurs when the maximum shear stress reaches a value of the shear stress in the uniaxial tension test. Assume the principal stress being 1, 2, 3 where 1 is largest, and 3 is the smallest principal stresses. Find the value of minimum shear stress to cause yielding, given that yield stress in tension is equal to o?

A. = <sub>o</sub>
B. = <sub>o</sub>/2
C. = <sub>o</sub>/3
D. = <sub>o</sub>/4
Answer» C. = <sub>o</sub>/3
Discussion
3.

Physical Meaning of von-mises yielding criteria is that yielding occurs when the _____________ reaches a critical value.

A. distortion energy
B. strain energy
C. potential energy
D. kinetic energy
Answer» B. strain energy
Discussion
4.

According to Von-mises yielding occur when J2 Exceeded some constant k2
So, the minimum condition for yielding is J2 = k2

A. nFind the value of k in state of pure shear. Given that yield strength in pure torsion = .
B.
C. /3
D. / 3
E. /2
Answer» B.
Discussion
5.

The final result for von-Mises theory for the distortion relating the yield stress with stress deviator is:
o = 1/ 2 [( 1- 2)2+( 2- 3)2+( 3- 1)2]1/2

A. nWhere <sub>o</sub> yield stress in uniaxial tension.
B. True
C. False
Answer» B. True
Discussion
6.

According to Von-mises, yielding occurs when J2 exceeds some constant k2
So, the minimum condition for yielding is J2=k2

A. nFind the value of k in uniaxial tension. Given that yield strength = <sub>o</sub>
B. <sub>o</sub>
C. <sub>o</sub>/2
D. <sub>o</sub>/3
E. <sub>o</sub>/ 3
Answer» E. <sub>o</sub>/ 3
Discussion
7.

Von-mises or Distortion-energy Criteria proposed that yielding will occur when the second invariant of the stress deviator J2 exceeds some critical value. The second invariant of the stress deviator J2 is equal to __________

A. 1/6 [( <sub>1</sub> <sub>2</sub>)<sup>2</sup>+( <sub>2</sub> <sub>3</sub>)<sup>2</sup>+( <sub>3</sub> <sub>1</sub>)<sup>2</sup>]
B. 1/2 [( <sub>1</sub> <sub>2</sub>)<sup>2</sup>+( <sub>2</sub> <sub>3</sub>)<sup>2</sup>+( <sub>3</sub> <sub>1</sub>)<sup>2</sup>]
C. [ <sub>1</sub> + <sub>2</sub> + <sub>3</sub>]
D. 1/2 [( <sub>1</sub> <sub>2</sub>)+( <sub>2</sub> <sub>3</sub>)+( <sub>3</sub> <sub>1</sub>)]
Answer» B. 1/2 [( <sub>1</sub> <sub>2</sub>)<sup>2</sup>+( <sub>2</sub> <sub>3</sub>)<sup>2</sup>+( <sub>3</sub> <sub>1</sub>)<sup>2</sup>]
Discussion
8.

The yielding criteria are primarily empirical relations. Pure hydrostatic stress causes the yielding in continuous solid.

A. True
B. False
Answer» C.
Discussion