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A machine element is subjected to the following bi-axial state of stress; σx = 80 MPa; σy = 20 MPa; τxy = 40MPa. If the shear strength of the material is 100 MPa, the factor of safety as per Tresca?s maximum shear stress theory is
- a)1.0
- b)2.0
- c)2.5
- d)3.3
Correct answer is option 'B'. Can you explain this answer?
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In a bi-axial state of stress, the machine element experiences two different stress components acting on it simultaneously. These stress components can be in the form of tensile, compressive, or shear stresses.
For example, let's consider a machine element that is subjected to a bi-axial state of stress with a tensile stress of 100 MPa in the x-direction and a compressive stress of 50 MPa in the y-direction. This means that the material of the machine element is being stretched in the x-direction and compressed in the y-direction.
The bi-axial state of stress can also include shear stresses. For instance, if the machine element experiences a shear stress of 30 MPa in the xy-plane, it means that there is a force acting parallel to the xy-plane that causes one part of the material to slide relative to another part.
The combination of these stress components determines the overall state of stress in the machine element. It is important to analyze and understand this state of stress to ensure that the machine element can withstand and operate under these conditions without failure.
Various methods, such as the Mohr's circle or stress transformation equations, can be used to determine the principal stresses and maximum shear stress in a bi-axial state of stress. These values are crucial in evaluating the strength and safety of the machine element and making design decisions accordingly.
For example, let's consider a machine element that is subjected to a bi-axial state of stress with a tensile stress of 100 MPa in the x-direction and a compressive stress of 50 MPa in the y-direction. This means that the material of the machine element is being stretched in the x-direction and compressed in the y-direction.
The bi-axial state of stress can also include shear stresses. For instance, if the machine element experiences a shear stress of 30 MPa in the xy-plane, it means that there is a force acting parallel to the xy-plane that causes one part of the material to slide relative to another part.
The combination of these stress components determines the overall state of stress in the machine element. It is important to analyze and understand this state of stress to ensure that the machine element can withstand and operate under these conditions without failure.
Various methods, such as the Mohr's circle or stress transformation equations, can be used to determine the principal stresses and maximum shear stress in a bi-axial state of stress. These values are crucial in evaluating the strength and safety of the machine element and making design decisions accordingly.
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A machine element is subjected to the following bi-axial state of stress; σx = 80 MPa; σy = 20MPa; τxy=40MPa. If the shear strength of the material is 100 MPa, the factor of safety asper Tresca?s maximum shear stress theory isa)1.0b)2.0c)2.5d)3.3Correct answer is option 'B'. Can you explain this answer?
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A machine element is subjected to the following bi-axial state of stress; σx = 80 MPa; σy = 20MPa; τxy=40MPa. If the shear strength of the material is 100 MPa, the factor of safety asper Tresca?s maximum shear stress theory isa)1.0b)2.0c)2.5d)3.3Correct answer is option 'B'. Can you explain this answer? for GATE 2024 is part of GATE preparation. The Question and answers have been prepared according to the GATE exam syllabus. Information about A machine element is subjected to the following bi-axial state of stress; σx = 80 MPa; σy = 20MPa; τxy=40MPa. If the shear strength of the material is 100 MPa, the factor of safety asper Tresca?s maximum shear stress theory isa)1.0b)2.0c)2.5d)3.3Correct answer is option 'B'. Can you explain this answer? covers all topics & solutions for GATE 2024 Exam. Find important definitions, questions, meanings, examples, exercises and tests below for A machine element is subjected to the following bi-axial state of stress; σx = 80 MPa; σy = 20MPa; τxy=40MPa. If the shear strength of the material is 100 MPa, the factor of safety asper Tresca?s maximum shear stress theory isa)1.0b)2.0c)2.5d)3.3Correct answer is option 'B'. Can you explain this answer?.
A machine element is subjected to the following bi-axial state of stress; σx = 80 MPa; σy = 20MPa; τxy=40MPa. If the shear strength of the material is 100 MPa, the factor of safety asper Tresca?s maximum shear stress theory isa)1.0b)2.0c)2.5d)3.3Correct answer is option 'B'. Can you explain this answer? for GATE 2024 is part of GATE preparation. The Question and answers have been prepared according to the GATE exam syllabus. Information about A machine element is subjected to the following bi-axial state of stress; σx = 80 MPa; σy = 20MPa; τxy=40MPa. If the shear strength of the material is 100 MPa, the factor of safety asper Tresca?s maximum shear stress theory isa)1.0b)2.0c)2.5d)3.3Correct answer is option 'B'. Can you explain this answer? covers all topics & solutions for GATE 2024 Exam. Find important definitions, questions, meanings, examples, exercises and tests below for A machine element is subjected to the following bi-axial state of stress; σx = 80 MPa; σy = 20MPa; τxy=40MPa. If the shear strength of the material is 100 MPa, the factor of safety asper Tresca?s maximum shear stress theory isa)1.0b)2.0c)2.5d)3.3Correct answer is option 'B'. Can you explain this answer?.
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