What does ij represent in a 3 3 stress matrix?

Stress is applied on j face of the material in the +ve i direction

Stress is applied on i face of the material in the +ve j direction

Stress is applied on i face of the material in the -ve j direction

Stress is applied on j face of the material in the +ve i direction

Stress is applied on j face of the material in the -ve i direction

Dilation of the mechanical body is ____________

change in the width of the body

change in the length of the body

change in the volume of the body

change in the width of the body

Sum of all the elements of the matrix

Sum of all the principal minors of the matrix

1.	What does _ij represent in a 3 3 stress matrix?
A.	Stress is applied on i face of the material in the +ve j direction
B.	Stress is applied on i face of the material in the -ve j direction
C.	Stress is applied on j face of the material in the +ve i direction
D.	Stress is applied on j face of the material in the -ve i direction
Answer» C. Stress is applied on j face of the material in the +ve i direction

2.	Calculate the dilation of body, given that the initial volume is 250 mm² and final volume is 235.5 mm².
A.	0.058
B.	0.061
C.	0.050
D.	0.060
Answer» B. 0.061

3.	Calculate the hydrostatic strain, if x, y, z are 0.01, 0.2, 0.05 respectively?
A.	0.2
B.	0.866
C.	0.125
D.	1
Answer» C. 0.125

4.	Experimentally, strain in the material with high precision is measured by _________ method.
A.	calorimetry
B.	hardness testing
C.	bonded wire resistance gauge
D.	microscopy
Answer» D. microscopy

5.	The part of strain tensor which involves in the shape change rather than the volume change is called strain deviator ij.
A.	True
B.	False
Answer» B. False

6.	Dilation on parallelepiped with strains in x, y, z direction equals to x, y, z respectively: The total volume change is given as = x + y + z for the small strain. The mean stress or hydrostatic (spherical) component of stress will be equal to ____
A.
B.	/2
C.	/3
D.	/4
Answer» D. /4

7.	Dilation of the mechanical body is ____________
A.	change in the length of the body
B.	change in the area of the body
C.	change in the volume of the body
D.	change in the width of the body
Answer» D. change in the width of the body

8.	For the following stress matrix, the first invariant of the stress tensor is the trace of a matrix, the sum of diagonal element: I₁ = ₁₁ + ₂₂ + ₃₃. The second invariant of matrix is equal to _________ ( begin{vmatrix} sigma_{11} & sigma_{12} & sigma_{13} sigma_{21}& sigma_{22} & sigma_{23} sigma_{31}& sigma_{32} & sigma_{33} end{vmatrix} )
A.	Sum of all the elements of the matrix
B.	Sum of first column elements
C.	Sum of first raw elements
D.	Sum of all the principal minors of the matrix
Answer» E.

9.	The number of components required to define an elastic constant is ______
A.	3
B.	9
C.	27
D.	81
Answer» E.

10.	Matrix (2-dimensional arrays) is a second rank tensor.
A.	True
B.	False
Answer» B. False