Complex Stresses · Strength of Materials · GATE ME
Marks 1
The phases present in pearlite are
Which of the plot(s) shown is/are valid Mohr’s circle representations of a plane stress state in a material? (The center of each circle is indicated by O.)


The components $$\left( {{\tau _{xx,}}{\tau _{yy,}}{\tau _{xy}}} \right)$$ are given by

Under the assumption of plane stress, which one of the following is correct?

Marks 2
A linear elastic structure under plane stress conditions is subjected to two sets of loading, I and II. The resulting states of stress at a point corresponding to these two loadings are as shown in the figure below. If these two sets of loading are applied simultaneously, then the net normal component of stress σxx is ________

$${\sigma _{xx}} = 40\,$$ MPa, $${\sigma _{yy}} = 100\,$$ MPa & $${\tau _{xy}} = 40$$ MPa.
The radius of the Mohr's circle representing the given state of stress in MPa is
The maximum and minimum principal stresses respectively from the Mohr's circle are
The distance of maximum and minimum principal stresses at the point ''P'' from the Mohr's circle are
The shear stress in the $$x-y$$ plane at the same point is then equal to