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The stress state at a point in a material under plane stress condition is equi-biaxial tension with a magnitude of 10 MPa. If one unit on the σ−τ plane is 1 MPa, the Mohr's circle representation of the state-of-stress is given by
- a)a circle with a radius equal to principal stress and its center at the origin of the σ−τ plane
- b)a point on the σ axis at a distance of 10 units from the origin
- c)a circle with a radius of 10 units on the σ−τ plane
- d)a point on the τ axis at a distance of 10 units from the origin
Correct answer is option 'B'. Can you explain this answer?
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The stress state at a point in a material under plane stress condition...
Explanation:
Equi-biaxial tension state:
- In this case, the stress state at a point in the material is equi-biaxial tension with a magnitude of 10 MPa.
- This means that the stress state is characterized by equal tensile stresses in two perpendicular directions.
Mohr's circle representation:
- When representing the state-of-stress on a σ-τ plane using Mohr's circle, the center of the circle corresponds to the average normal stress and the radius of the circle corresponds to the maximum shear stress.
- In this case, the equi-biaxial tension state has a magnitude of 10 MPa, which means the maximum shear stress is also 10 MPa.
Representation on σ-τ plane:
- Since one unit on the σ-τ plane is 1 MPa, a magnitude of 10 MPa for the equi-biaxial tension state corresponds to a distance of 10 units from the origin along the σ axis.
- Therefore, the Mohr's circle representation of the state-of-stress for this equi-biaxial tension state would be a point on the σ axis at a distance of 10 units from the origin.
Therefore, the correct answer is option 'B' - a point on the σ axis at a distance of 10 units from the origin.
Equi-biaxial tension state:
- In this case, the stress state at a point in the material is equi-biaxial tension with a magnitude of 10 MPa.
- This means that the stress state is characterized by equal tensile stresses in two perpendicular directions.
Mohr's circle representation:
- When representing the state-of-stress on a σ-τ plane using Mohr's circle, the center of the circle corresponds to the average normal stress and the radius of the circle corresponds to the maximum shear stress.
- In this case, the equi-biaxial tension state has a magnitude of 10 MPa, which means the maximum shear stress is also 10 MPa.
Representation on σ-τ plane:
- Since one unit on the σ-τ plane is 1 MPa, a magnitude of 10 MPa for the equi-biaxial tension state corresponds to a distance of 10 units from the origin along the σ axis.
- Therefore, the Mohr's circle representation of the state-of-stress for this equi-biaxial tension state would be a point on the σ axis at a distance of 10 units from the origin.
Therefore, the correct answer is option 'B' - a point on the σ axis at a distance of 10 units from the origin.
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The stress state at a point in a material under plane stress condition...
The given state of stress is represented by a point on σ−τ graph which is located on σ-axis at a distance of 10 units from origin.
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The stress state at a point in a material under plane stress condition is equi-biaxial tension with a magnitude of 10 MPa. If one unit on the σ−τ plane is 1 MPa, the Mohrs circle representation of the state-of-stress is given bya)a circle with a radius equal to principal stress and its center at the origin of the σ−τ planeb)a point on the σ axis at a distance of 10 units from the originc)a circle with a radius of 10 units on the σ−τ planed)a point on theτ axis at a distance of 10 units from the originCorrect answer is option 'B'. Can you explain this answer?
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The stress state at a point in a material under plane stress condition is equi-biaxial tension with a magnitude of 10 MPa. If one unit on the σ−τ plane is 1 MPa, the Mohrs circle representation of the state-of-stress is given bya)a circle with a radius equal to principal stress and its center at the origin of the σ−τ planeb)a point on the σ axis at a distance of 10 units from the originc)a circle with a radius of 10 units on the σ−τ planed)a point on theτ axis at a distance of 10 units from the originCorrect answer is option '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 The stress state at a point in a material under plane stress condition is equi-biaxial tension with a magnitude of 10 MPa. If one unit on the σ−τ plane is 1 MPa, the Mohrs circle representation of the state-of-stress is given bya)a circle with a radius equal to principal stress and its center at the origin of the σ−τ planeb)a point on the σ axis at a distance of 10 units from the originc)a circle with a radius of 10 units on the σ−τ planed)a point on theτ axis at a distance of 10 units from the originCorrect answer is option '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 The stress state at a point in a material under plane stress condition is equi-biaxial tension with a magnitude of 10 MPa. If one unit on the σ−τ plane is 1 MPa, the Mohrs circle representation of the state-of-stress is given bya)a circle with a radius equal to principal stress and its center at the origin of the σ−τ planeb)a point on the σ axis at a distance of 10 units from the originc)a circle with a radius of 10 units on the σ−τ planed)a point on theτ axis at a distance of 10 units from the originCorrect answer is option 'B'. Can you explain this answer?.
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