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If a small concrete cube is submerged deep in still water in such a way that the pressure exerted on all faces of the cube is P, then the maximum shear stress developed inside the cube is
- a)0
- b)P/2
- c)P
- d)2P
Correct answer is option 'A'. Can you explain this answer?
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If a small concrete cube is submerged deep in still water in such a ...
Maximum shear stress
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τmax = 
σ1, σ2 = 
= 
σ1, σ2 = P
τmax =
= 0
= 0Most Upvoted Answer
If a small concrete cube is submerged deep in still water in such a ...
Maximum shear stress
τmax =
σ1, σ2 =
=
σ1, σ2 = P
τmax = = 0
= 0Free Test
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If a small concrete cube is submerged deep in still water in such a ...
Understanding Shear Stress in a Submerged Concrete Cube
When a small concrete cube is submerged in still water, it experiences uniform pressure on all its surfaces due to the hydrostatic pressure of the water. The pressure exerted on the cube can be denoted as P.
Pressure on All Faces
- The pressure P acts uniformly on all faces of the cube.
- Since the cube is submerged, there are no variations in pressure across its faces.
Shear Stress Analysis
- Shear stress arises from differential forces acting parallel to a surface.
- In this case, since the pressure is uniform, there are no differential forces acting on opposite faces of the cube.
Maximum Shear Stress Calculation
- The maximum shear stress (τ_max) in a material can be defined as the difference between the normal stresses acting on perpendicular planes.
- Here, because pressure is the same (P) on all faces, the normal stress is constant and equal on opposing faces.
Resulting Shear Stress
- Since there are no differences in the normal stress, the resulting shear stress inside the cube becomes zero.
- Therefore, the maximum shear stress developed inside the cube is:
Conclusion
- The correct answer is 0, which corresponds to option 'A', as there is no shear stress generated in a uniformly pressured scenario.
In summary, the uniform pressure leads to no shear force acting on the cube, resulting in zero maximum shear stress.
When a small concrete cube is submerged in still water, it experiences uniform pressure on all its surfaces due to the hydrostatic pressure of the water. The pressure exerted on the cube can be denoted as P.
Pressure on All Faces
- The pressure P acts uniformly on all faces of the cube.
- Since the cube is submerged, there are no variations in pressure across its faces.
Shear Stress Analysis
- Shear stress arises from differential forces acting parallel to a surface.
- In this case, since the pressure is uniform, there are no differential forces acting on opposite faces of the cube.
Maximum Shear Stress Calculation
- The maximum shear stress (τ_max) in a material can be defined as the difference between the normal stresses acting on perpendicular planes.
- Here, because pressure is the same (P) on all faces, the normal stress is constant and equal on opposing faces.
Resulting Shear Stress
- Since there are no differences in the normal stress, the resulting shear stress inside the cube becomes zero.
- Therefore, the maximum shear stress developed inside the cube is:
Conclusion
- The correct answer is 0, which corresponds to option 'A', as there is no shear stress generated in a uniformly pressured scenario.
In summary, the uniform pressure leads to no shear force acting on the cube, resulting in zero maximum shear stress.
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If a small concrete cube is submerged deep in still water in such a way that the pressure exerted on all faces of the cube is P, then the maximum shear stress developed inside the cube isa) 0b) P/2c) Pd) 2PCorrect answer is option 'A'. Can you explain this answer? for Mechanical Engineering 2025 is part of Mechanical Engineering preparation. The Question and answers have been prepared according to the Mechanical Engineering exam syllabus. Information about If a small concrete cube is submerged deep in still water in such a way that the pressure exerted on all faces of the cube is P, then the maximum shear stress developed inside the cube isa) 0b) P/2c) Pd) 2PCorrect answer is option 'A'. Can you explain this answer? covers all topics & solutions for Mechanical Engineering 2025 Exam. Find important definitions, questions, meanings, examples, exercises and tests below for If a small concrete cube is submerged deep in still water in such a way that the pressure exerted on all faces of the cube is P, then the maximum shear stress developed inside the cube isa) 0b) P/2c) Pd) 2PCorrect answer is option 'A'. Can you explain this answer?.
If a small concrete cube is submerged deep in still water in such a way that the pressure exerted on all faces of the cube is P, then the maximum shear stress developed inside the cube isa) 0b) P/2c) Pd) 2PCorrect answer is option 'A'. Can you explain this answer? for Mechanical Engineering 2025 is part of Mechanical Engineering preparation. The Question and answers have been prepared according to the Mechanical Engineering exam syllabus. Information about If a small concrete cube is submerged deep in still water in such a way that the pressure exerted on all faces of the cube is P, then the maximum shear stress developed inside the cube isa) 0b) P/2c) Pd) 2PCorrect answer is option 'A'. Can you explain this answer? covers all topics & solutions for Mechanical Engineering 2025 Exam. Find important definitions, questions, meanings, examples, exercises and tests below for If a small concrete cube is submerged deep in still water in such a way that the pressure exerted on all faces of the cube is P, then the maximum shear stress developed inside the cube isa) 0b) P/2c) Pd) 2PCorrect answer is option 'A'. Can you explain this answer?.
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