Hydrostatic stress on cube placed in deep sea

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Discussion Overview

The discussion revolves around the hydrostatic stress experienced by a metal cube placed in the deep sea, specifically focusing on the presence or absence of shear stress within the cube under hydrostatic conditions. The scope includes theoretical considerations of stress in both two-dimensional and three-dimensional contexts.

Discussion Character

  • Technical explanation, Conceptual clarification, Debate/contested

Main Points Raised

  • Some participants assert that in a hydrostatic condition, there would be no shear stress on any face of the cube.
  • It is noted that in two-dimensional stress scenarios with uniform normal stress and zero shear stress, Mohr's circle cannot be drawn, indicating no shear stress in any orientation.
  • There is a question raised about whether the same principles apply to a three-dimensional cube as they do in two dimensions.
  • One participant states that the situation is the same for three-dimensional cases, claiming that the stress tensor will be isotropic and that shear stress will not exist on any arbitrary plane through the cube.

Areas of Agreement / Disagreement

Participants generally agree that hydrostatic conditions result in no shear stress; however, there is a question regarding the applicability of this conclusion from two dimensions to three dimensions, which remains open for further discussion.

Contextual Notes

The discussion does not resolve the implications of the transition from two-dimensional to three-dimensional stress analysis, leaving assumptions and dependencies on definitions unaddressed.

Ravi Singh choudhary
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Ques: If one metal cube placed in deep sea where will be maximum shear stress in cube?

What I know: In hydrostatic condition there would be no shear stress, that means on any face of cube there would be not shear stress at all.
In case of two dimensional stress; if we have same normal stress on the sides and zero shear stress we cannot draw Mohr circle; that means we cannot have shear stress in any orientation.

My doubt: Whether it would same for three dimensional cube as in 2D case.
 
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Ravi Singh choudhary said:
Ques: If one metal cube placed in deep sea where will be maximum shear stress in cube?

What I know: In hydrostatic condition there would be no shear stress, that means on any face of cube there would be not shear stress at all.
In case of two dimensional stress; if we have same normal stress on the sides and zero shear stress we cannot draw Mohr circle; that means we cannot have shear stress in any orientation.

My doubt: Whether it would same for three dimensional cube as in 2D case.
Hi Ravi, Is this question for schoolwork?
 
Ravi Singh choudhary said:
Ques: If one metal cube placed in deep sea where will be maximum shear stress in cube?

What I know: In hydrostatic condition there would be no shear stress, that means on any face of cube there would be not shear stress at all.
In case of two dimensional stress; if we have same normal stress on the sides and zero shear stress we cannot draw Mohr circle; that means we cannot have shear stress in any orientation.

My doubt: Whether it would same for three dimensional cube as in 2D case.
It's the same for 3D. The stress tensor will be isotropic, and the stress vector on an arbitrary plane of any orientation through the cube will be normal to the plane. There will be no shear stress.
 
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berkeman said:
Hi Ravi, Is this question for schoolwork?
No this was once asked in BARC interview for mechanical engineers
 
Chestermiller said:
It's the same for 3D. The stress tensor will be isotropic, and the stress vector on an arbitrary plane of any orientation through the cube will be normal to the plane. There will be no shear stress.
Thanks sir.
 

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