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Assuming the material considered in each statement is homogeneous, isotropic, linear elastic, and the deformations are in the elastic range, which one or more of the following statement(s) is/are TRUE?
- a)A body subjected to hydrostatic pressure has no shear stress.
- b)If a long solid steel rod is subjected to tensile load, then its volume increases.
- c)Maximum shear stress theory is suitable for failure analysis of brittle materials.
- d)If a portion of a beam has zero shear force, then the corresponding portion of the elastic curve of the beam is always straight.
Correct answer is option 'A,B'. Can you explain this answer?
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Most Upvoted Answer
Assuming the material considered in each statement is homogeneous, iso...
For homogeneous, isotropy & linear elastic.
(A) A body is subjected to hydrostatic pressure has no shear stress.
τ = 0 (In case of hydrostatic loading)
(B) If a long solid rod is subjected to tensile load then volume increases.
We know that the value of Possions ratio for elastic material is less than 0.5
From equation (i) The value of
is positive when (μ < 0.5) so, εv is also positive.
Hence, volume increases
Hence, the correct option is (A,B).
(A) A body is subjected to hydrostatic pressure has no shear stress.
τ = 0 (In case of hydrostatic loading)
(B) If a long solid rod is subjected to tensile load then volume increases.
We know that the value of Possions ratio for elastic material is less than 0.5
From equation (i) The value of
is positive when (μ < 0.5) so, εv is also positive.Hence, volume increases
Hence, the correct option is (A,B).
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Community Answer
Assuming the material considered in each statement is homogeneous, iso...
Statement a: A body subjected to hydrostatic pressure has no shear stress.
This statement is true. Hydrostatic pressure refers to a uniform pressure applied on all surfaces of a body. In this case, the stress acting on the body is normal to the surface and is the same in all directions. Since shear stress refers to the force parallel to the surface, there is no shear stress present when the body is subjected to hydrostatic pressure.
Statement b: If a long solid steel rod is subjected to tensile load, then its volume increases.
This statement is true. When a solid steel rod is subjected to a tensile load, it experiences elongation in the direction of the applied force. This elongation leads to an increase in the length of the rod. However, the volume of the rod also increases because the cross-sectional area remains constant while the length increases. Therefore, the statement is true.
Statement c: Maximum shear stress theory is suitable for failure analysis of brittle materials.
This statement is false. The maximum shear stress theory, also known as the Tresca criterion, is suitable for failure analysis of ductile materials. It states that failure occurs when the maximum shear stress in a material exceeds a certain limit. Brittle materials, on the other hand, tend to fail by brittle fracture without significant plastic deformation. Therefore, the maximum shear stress theory is not applicable to brittle materials.
Statement d: If a portion of a beam has zero shear force, then the corresponding portion of the elastic curve of the beam is always straight.
This statement is true. Shear force in a beam causes bending, and the bending results in a change in the shape of the beam. When a portion of a beam has zero shear force, it means that there are no external forces causing bending in that portion. In the absence of bending, the elastic curve of the beam remains straight. However, it is important to note that the deflection of the beam can still occur due to other factors such as moments or distributed loads.
This statement is true. Hydrostatic pressure refers to a uniform pressure applied on all surfaces of a body. In this case, the stress acting on the body is normal to the surface and is the same in all directions. Since shear stress refers to the force parallel to the surface, there is no shear stress present when the body is subjected to hydrostatic pressure.
Statement b: If a long solid steel rod is subjected to tensile load, then its volume increases.
This statement is true. When a solid steel rod is subjected to a tensile load, it experiences elongation in the direction of the applied force. This elongation leads to an increase in the length of the rod. However, the volume of the rod also increases because the cross-sectional area remains constant while the length increases. Therefore, the statement is true.
Statement c: Maximum shear stress theory is suitable for failure analysis of brittle materials.
This statement is false. The maximum shear stress theory, also known as the Tresca criterion, is suitable for failure analysis of ductile materials. It states that failure occurs when the maximum shear stress in a material exceeds a certain limit. Brittle materials, on the other hand, tend to fail by brittle fracture without significant plastic deformation. Therefore, the maximum shear stress theory is not applicable to brittle materials.
Statement d: If a portion of a beam has zero shear force, then the corresponding portion of the elastic curve of the beam is always straight.
This statement is true. Shear force in a beam causes bending, and the bending results in a change in the shape of the beam. When a portion of a beam has zero shear force, it means that there are no external forces causing bending in that portion. In the absence of bending, the elastic curve of the beam remains straight. However, it is important to note that the deflection of the beam can still occur due to other factors such as moments or distributed loads.
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Assuming the material considered in each statement is homogeneous, isotropic, linear elastic, and the deformations are in the elastic range, which one or more of the following statement(s) is/are TRUE?a)A body subjected to hydrostatic pressure has no shear stress.b)If a long solid steel rod is subjected to tensile load, then its volume increases.c)Maximum shear stress theory is suitable for failure analysis of brittle materials.d)If a portion of a beam has zero shear force, then the corresponding portion of the elastic curve of the beam is always straight.Correct answer is option 'A,B'. Can you explain this answer?
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Assuming the material considered in each statement is homogeneous, isotropic, linear elastic, and the deformations are in the elastic range, which one or more of the following statement(s) is/are TRUE?a)A body subjected to hydrostatic pressure has no shear stress.b)If a long solid steel rod is subjected to tensile load, then its volume increases.c)Maximum shear stress theory is suitable for failure analysis of brittle materials.d)If a portion of a beam has zero shear force, then the corresponding portion of the elastic curve of the beam is always straight.Correct answer is option 'A,B'. Can you explain this answer? for Mechanical Engineering 2024 is part of Mechanical Engineering preparation. The Question and answers have been prepared according to the Mechanical Engineering exam syllabus. Information about Assuming the material considered in each statement is homogeneous, isotropic, linear elastic, and the deformations are in the elastic range, which one or more of the following statement(s) is/are TRUE?a)A body subjected to hydrostatic pressure has no shear stress.b)If a long solid steel rod is subjected to tensile load, then its volume increases.c)Maximum shear stress theory is suitable for failure analysis of brittle materials.d)If a portion of a beam has zero shear force, then the corresponding portion of the elastic curve of the beam is always straight.Correct answer is option 'A,B'. Can you explain this answer? covers all topics & solutions for Mechanical Engineering 2024 Exam. Find important definitions, questions, meanings, examples, exercises and tests below for Assuming the material considered in each statement is homogeneous, isotropic, linear elastic, and the deformations are in the elastic range, which one or more of the following statement(s) is/are TRUE?a)A body subjected to hydrostatic pressure has no shear stress.b)If a long solid steel rod is subjected to tensile load, then its volume increases.c)Maximum shear stress theory is suitable for failure analysis of brittle materials.d)If a portion of a beam has zero shear force, then the corresponding portion of the elastic curve of the beam is always straight.Correct answer is option 'A,B'. Can you explain this answer?.
Assuming the material considered in each statement is homogeneous, isotropic, linear elastic, and the deformations are in the elastic range, which one or more of the following statement(s) is/are TRUE?a)A body subjected to hydrostatic pressure has no shear stress.b)If a long solid steel rod is subjected to tensile load, then its volume increases.c)Maximum shear stress theory is suitable for failure analysis of brittle materials.d)If a portion of a beam has zero shear force, then the corresponding portion of the elastic curve of the beam is always straight.Correct answer is option 'A,B'. Can you explain this answer? for Mechanical Engineering 2024 is part of Mechanical Engineering preparation. The Question and answers have been prepared according to the Mechanical Engineering exam syllabus. Information about Assuming the material considered in each statement is homogeneous, isotropic, linear elastic, and the deformations are in the elastic range, which one or more of the following statement(s) is/are TRUE?a)A body subjected to hydrostatic pressure has no shear stress.b)If a long solid steel rod is subjected to tensile load, then its volume increases.c)Maximum shear stress theory is suitable for failure analysis of brittle materials.d)If a portion of a beam has zero shear force, then the corresponding portion of the elastic curve of the beam is always straight.Correct answer is option 'A,B'. Can you explain this answer? covers all topics & solutions for Mechanical Engineering 2024 Exam. Find important definitions, questions, meanings, examples, exercises and tests below for Assuming the material considered in each statement is homogeneous, isotropic, linear elastic, and the deformations are in the elastic range, which one or more of the following statement(s) is/are TRUE?a)A body subjected to hydrostatic pressure has no shear stress.b)If a long solid steel rod is subjected to tensile load, then its volume increases.c)Maximum shear stress theory is suitable for failure analysis of brittle materials.d)If a portion of a beam has zero shear force, then the corresponding portion of the elastic curve of the beam is always straight.Correct answer is option 'A,B'. Can you explain this answer?.
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ample number of questions to practice Assuming the material considered in each statement is homogeneous, isotropic, linear elastic, and the deformations are in the elastic range, which one or more of the following statement(s) is/are TRUE?a)A body subjected to hydrostatic pressure has no shear stress.b)If a long solid steel rod is subjected to tensile load, then its volume increases.c)Maximum shear stress theory is suitable for failure analysis of brittle materials.d)If a portion of a beam has zero shear force, then the corresponding portion of the elastic curve of the beam is always straight.Correct answer is option 'A,B'. Can you explain this answer? tests, examples and also practice Mechanical Engineering tests.
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