Question
Download Solution PDFA 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 of stress at that point, is
Answer (Detailed Solution Below)
Detailed Solution
Download Solution PDFConcept:
Mohr's circle is very useful in determining the relationships between normal and shear stresses acting on any inclined plane at a point in a stresses body. It is helpful in finding maximum and minimum principal stresses, maximum shear stress etc.
Calculation:
Since the fluid element will be subjected to hydrostatic loading (\(\sigma_1=\sigma_2=p\)) , when all principal stresses are equal and compressive.
Mohr circle will reduce into a point on σ - axis.
∴ Radius of Mohr circle = 0 unit
For 2D hydrostatic state of stress:
- All planes feel equal normal stress.
- There is no shear stress on any plane
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