Explore topic-wise MCQs in Mechanical Metallurgy Questions and Answers.

This section includes 5 Mcqs, each offering curated multiple-choice questions to sharpen your Mechanical Metallurgy Questions and Answers knowledge and support exam preparation. Choose a topic below to get started.

1.

In 2-dimensional state of stress, shear stress maximum (τmax) occurs on a plane halfway between the two principal planes.

A. True
B. False
Answer» B. False
Discussion
2.

Determine the principal stress for the state of stress?

A. \(\begin{vmatrix}0 & -100 & 0 \\-100 & 200 & 0 \\ -0 & 0 & -150 \end{vmatrix}\)
B. σ1=100, σ2=200, σ3=-150
C. σ1=-100, σ2=-200, σ3=-150
D. σ1=241.42, σ2=-41.42, σ3=-150
E. σ1=150, σ2=41.42, σ3=-241.42
Answer» D. σ1=241.42, σ2=-41.42, σ3=-150
Discussion
3.

A cubic shape body is subjected to stress as shown in the figure below. Both are stresses are equal in magnitude but opposite in direction. Calculate the shear stresses on black plane and green plane.

A. Black=σ, green=0
B. Black=σ, green=σ/2
C. Black=σ/2, green=σ/2
D. Black=σ, green=σ
Answer» C. Black=σ/2, green=σ/2
Discussion
4.

A cubic shape body is subjected to stresses as shown in the figure below. If both are stresses are equal in magnitude, calculate the shear stresses on black and green planes.

A. Black=σ/2, green=0
B. Black=0, green=σ/2
C. Black=σ/2, green=σ/2
D. Black=σ, green=σ
Answer» B. Black=0, green=σ/2
Discussion
5.

The state of stress in 3-dimension is given by the following determinant, the coefficient of σ2 is an invariant quantity which is equal to ________

A. \(\begin{vmatrix}\sigma-\sigma x & -\tau yx & -\tau zx\\ -\tau xy & \sigma-\sigma y & -\tau zy\\ -\tau xz & -\tau yz & \sigma-\sigma z\end{vmatrix}\)
B. σx+σy+σz
C. σxσy+σyσz+σzσx-τxy2- τyz2- τzx2
D. σxσyσz+2τxyτyzτzx-σxτxy2 -σyτyz2 -σzτzx2
E. 1
Answer» B. σx+σy+σz
Discussion