1

### GATE ME 2008

A two dimensional fluid element rotates like a rigid body. At a point within the element, the pressure is $1$ unit. Radius of the Mohr's circle, characterizing the state at that point, is
A
0.5 unit
B
0 unit
C
1 unit
D
2 unit
2

### GATE ME 2004

The Mohr's circle of plane stress for a point in a body is shown. The design is to be done on the basis of the maximum shear stress theory for yielding. Then, yielding will just begin if the designer chooses a ductile material whose yield strength is
A
45 MPa
B
50 MPa
C
90 MPa
D
100 MPa
3

### GATE ME 2003

A shaft subjected to torsion experiences a pure shear stress $\tau$ on the surface. The maximum principal stress on the surface which is at $45$0 to the axis will have a value
A
$\tau \,\cos \,\,{45^ \circ }$
B
$2\tau \,\cos \,\,{45^ \circ }$
C
$\tau \,{\cos ^2}\,\,{45^ \circ }$
D
$2\tau \,si{n^2}\,\,{45^ \circ }\,\,\cos \,{45^ \circ }$
4

### GATE ME 2003

The state of stress at a point P in a two dimensional loading is such that the Mohr's circle is a point located at 175 MPa on the positive normal stress axis.

The maximum and minimum principal stresses respectively from the Mohr's circle are

A
$+$ 175 MPa, $-$ 175 MPa
B
$+$ 175 MPa, $+$ 175 MPa
C
0, $-$ 175 MPa
D
$0, 0$

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