Questions and answers for exam Preparation

MCQs

Total Questions : 189 | Page 2 of 19 pages

Question 11. The shearing strain component in X-Y plane is ________

\(Γ_{xy}=\frac{∂v}{∂x}+\frac{∂u}{∂y} \)
\(Γ_{xy}=\frac{∂v}{∂x}-\frac{∂u}{∂y} \)
\(Γ_{xy}=\frac{∂v}{∂y}+\frac{∂u}{∂x} \)
\(Γ_{xy}=\frac{∂v}{∂y}-\frac{∂u}{∂x} \)

Discuss Question

Answer: Option A. -> \(Γ_{xy}=\frac{∂v}{∂x}+\frac{∂u}{∂y} \)
Answer: (a).\(Γ_{xy}=\frac{∂v}{∂x}+\frac{∂u}{∂y} \)

Question 12. The shearing strain component in Z-X plane is ________

\(Γ_{xz} =\frac{∂w}{∂y}+\frac{∂v}{∂z} \)
\(Γ_{xz} =\frac{∂v}{∂x}-\frac{∂w}{∂y} \)
\(Γ_{xz} =\frac{∂u}{∂z}+\frac{∂w}{∂x} \)
\(Γ_{xz} =\frac{∂v}{∂y}-\frac{∂w}{∂x} \)

Discuss Question

Answer: Option C. -> \(Γ_{xz} =\frac{∂u}{∂z}+\frac{∂w}{∂x} \)
Answer: (c).\(Γ_{xz} =\frac{∂u}{∂z}+\frac{∂w}{∂x} \)

Question 13. The shearing strain component in Y-Z plane is ________

\(Γ_{yz} =\frac{∂w}{∂y}+\frac{∂v}{∂z} \)
\(Γ_{yz} =\frac{∂v}{∂x}-\frac{∂w}{∂y} \)
\(Γ_{yz} =\frac{∂v}{∂y}+\frac{∂w}{∂x} \)
\(Γ_{yz} =\frac{∂v}{∂y}-\frac{∂w}{∂x} \)

Discuss Question

Answer: Option A. -> \(Γ_{yz} =\frac{∂w}{∂y}+\frac{∂v}{∂z} \)
Answer: (a).\(Γ_{yz} =\frac{∂w}{∂y}+\frac{∂v}{∂z} \)

Question 14. The strain tensor is given by ____________

\begin{pmatrix} 1/2Γ_{xz} & 1/2Γ_{xy} & ε_{xx} \\ 1/2Γ_{yx} & 1/2Γ_{yz} & ε_{yy} \\ 1/2Γ_{zx} & 1/2Γ_{zy} & ε_{zz} \end{pmatrix}
\begin{pmatrix} 1/2Γ_{xy} & ε_{xx} & 1/2Γ_{xz} \\ 1/2Γ_{yx} & ε_{yy} & 1/2Γ_{yz} \\ 1/2Γ_{zy} & ε_{zz} & 1/2Γ_{zz} \end{pmatrix}
\begin{pmatrix} ε_{xx} & 1/2Γ_{xy} & 1/2Γ_{xz} \\ 1/2Γ_{yx} & ε_{yy} & 1/2Γ_{yz} \\ 1/2Γ_{zx} & 1/2Γ_{zy} & ε_{zz} \end{pmatrix}
\begin{pmatrix} ε_{xx} & 1/2Γ_{xy} & 1/2Γ_{xz} \\ ε_{yy} & 1/2Γ_{yx} & 1/2Γ_{yz} \\ ε_{zz} & 1/2Γ_{zy} & 1/2Γ_{zx} \end{pmatrix}

Discuss Question

Answer: Option C. -> \begin{pmatrix} ε_{xx} & 1/2Γ_{xy} & 1/2Γ_{xz} \\ 1/2Γ_{yx} & ε_{yy} & 1/2Γ_{yz} \\ 1/2Γ_{zx} & 1/2Γ_{zy} & ε_{zz} \end{pmatrix}
Answer: (c).\begin{pmatrix} ε_{xx} & 1/2Γ_{xy} & 1/2Γ_{xz} \\ 1/2Γ_{yx} & ε_{yy} & 1/2Γ_{yz} \\ 1/2Γ_{zx} & 1/2Γ_{zy} & ε_{zz} \end{pmatrix}

Question 15. The strain tensor is given by ____________

\begin{pmatrix} ε_{xz} & ε_{xy} & ε_{xx} \\ ε_{yx} & ε_{yz} & ε_{yy} \\ ε_{zx} & ε_{zy} & ε_{zz} \end{pmatrix}
\begin{pmatrix} ε_{xy} & ε_{xx} & ε_{xz}\\ ε_{yx} & ε_{yy} & ε_{yz}\\ ε_{zy} & ε_{zz} & ε_{zz} \end{pmatrix}
\begin{pmatrix} ε_{xx} & ε_{xy} & ε_{xz}\\ ε_{yx} & ε_{yy} & ε_{yz}\\ ε_{zx} & ε_{zy} & ε_{zz} \end{pmatrix}
\begin{pmatrix} ε_{xx} & ε_{xy} & ε_{xz} \\ ε_{yy} & ε_{yx} & ε_{yz} \\ ε_{zz} & ε_{zy} & ε_{zx} \end{pmatrix}

Discuss Question

Answer: Option C. -> \begin{pmatrix} ε_{xx} & ε_{xy} & ε_{xz}\\ ε_{yx} & ε_{yy} & ε_{yz}\\ ε_{zx} & ε_{zy} & ε_{zz} \end{pmatrix}
Answer: (c).\begin{pmatrix} ε_{xx} & ε_{xy} & ε_{xz}\\ ε_{yx} & ε_{yy} & ε_{yz}\\ ε_{zx} & ε_{zy} & ε_{zz} \end{pmatrix}

Question 16. An elastic body is said to be homogeneous if there are ______ elastic constants.

Discuss Question

Answer: Option A. -> 36
Answer: (a).36

Question 17. The number of independent elastic constant is ______

Discuss Question

Answer: Option A. -> 2
Answer: (a).2

Question 18. An elastic body is said to be isotropic if the elastic constants are ______