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In a gas turbine rotor a radial stress of 30 mpa tensile and 20 mpa tangential stress have been found at a point. what is the maximum shear stress at this point?
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In a gas turbine rotor a radial stress of 30 mpa tensile and 20 mpa ta...
Calculating Maximum Shear Stress in Gas Turbine Rotor
To find the maximum shear stress at a point in a gas turbine rotor where radial stress is 30 MPa tensile and tangential stress is 20 MPa, we can use the following formula:
Maximum Shear Stress (τmax) = (σr - σθ) / 2
Where:
- σr = Radial stress
- σθ = Tangential stress
Given:
- Radial stress (σr) = 30 MPa (tensile)
- Tangential stress (σθ) = 20 MPa
Calculations:
Substitute the given values into the formula:
τmax = (30 - 20) / 2
τmax = 10 / 2
τmax = 5 MPa
Therefore, the maximum shear stress at the point in the gas turbine rotor is 5 MPa.
Explanation:
- The maximum shear stress occurs when the difference between the radial and tangential stresses is maximized.
- Shear stress is a type of stress that acts parallel to a surface, causing parts of the material to slide past each other.
- In this case, the maximum shear stress is half the difference between the radial and tangential stresses, as per the formula mentioned above.
- By calculating the maximum shear stress, we can evaluate the material's ability to withstand forces acting parallel to its surface.
To find the maximum shear stress at a point in a gas turbine rotor where radial stress is 30 MPa tensile and tangential stress is 20 MPa, we can use the following formula:
Maximum Shear Stress (τmax) = (σr - σθ) / 2
Where:
- σr = Radial stress
- σθ = Tangential stress
Given:
- Radial stress (σr) = 30 MPa (tensile)
- Tangential stress (σθ) = 20 MPa
Calculations:
Substitute the given values into the formula:
τmax = (30 - 20) / 2
τmax = 10 / 2
τmax = 5 MPa
Therefore, the maximum shear stress at the point in the gas turbine rotor is 5 MPa.
Explanation:
- The maximum shear stress occurs when the difference between the radial and tangential stresses is maximized.
- Shear stress is a type of stress that acts parallel to a surface, causing parts of the material to slide past each other.
- In this case, the maximum shear stress is half the difference between the radial and tangential stresses, as per the formula mentioned above.
- By calculating the maximum shear stress, we can evaluate the material's ability to withstand forces acting parallel to its surface.
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In a gas turbine rotor a radial stress of 30 mpa tensile and 20 mpa tangential stress have been found at a point. what is the maximum shear stress at this point?
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In a gas turbine rotor a radial stress of 30 mpa tensile and 20 mpa tangential stress have been found at a point. what is the maximum shear stress at this point? for Civil Engineering (CE) 2024 is part of Civil Engineering (CE) preparation. The Question and answers have been prepared according to the Civil Engineering (CE) exam syllabus. Information about In a gas turbine rotor a radial stress of 30 mpa tensile and 20 mpa tangential stress have been found at a point. what is the maximum shear stress at this point? covers all topics & solutions for Civil Engineering (CE) 2024 Exam. Find important definitions, questions, meanings, examples, exercises and tests below for In a gas turbine rotor a radial stress of 30 mpa tensile and 20 mpa tangential stress have been found at a point. what is the maximum shear stress at this point?.
In a gas turbine rotor a radial stress of 30 mpa tensile and 20 mpa tangential stress have been found at a point. what is the maximum shear stress at this point? for Civil Engineering (CE) 2024 is part of Civil Engineering (CE) preparation. The Question and answers have been prepared according to the Civil Engineering (CE) exam syllabus. Information about In a gas turbine rotor a radial stress of 30 mpa tensile and 20 mpa tangential stress have been found at a point. what is the maximum shear stress at this point? covers all topics & solutions for Civil Engineering (CE) 2024 Exam. Find important definitions, questions, meanings, examples, exercises and tests below for In a gas turbine rotor a radial stress of 30 mpa tensile and 20 mpa tangential stress have been found at a point. what is the maximum shear stress at this point?.
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