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A tube has 100mm inner diameter and the walls are 20mm thick. It is subjected to an internal pressure of 20MPa. Calculate the maximum error in hoop stress at the surface if a thin tube criterion based on the inner diameter is used.?
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A tube has 100mm inner diameter and the walls are 20mm thick. It is su...
Calculation of Maximum Error in Hoop Stress


  • Given Data:


    • Inner Diameter (d) = 100mm

    • Wall Thickness (t) = 20mm

    • Internal Pressure (P) = 20MPa


  • Formula:


    • Stress due to internal pressure (σ) = Pd/2t

    • Thin tube criterion (σ') = Pd/4t

    • Maximum Error (ε) = (σ - σ')/σ


  • Calculation:


    • σ = Pd/2t = (20 x 100)/(2 x 20) = 50MPa

    • σ' = Pd/4t = (20 x 100)/(4 x 20) = 25MPa

    • ε = (σ - σ')/σ = (50 - 25)/50 = 0.5 or 50%


  • Explanation:


    • The hoop stress on the surface of the tube is calculated using the formula σ = Pd/2t.

    • The thin tube criterion is based on the assumption that the wall thickness is negligible as compared to the inner diameter, and thus the formula σ' = Pd/4t is used.

    • The maximum error in hoop stress at the surface is calculated using the formula ε = (σ - σ')/σ, which gives the percentage difference between the two stress values.

    • In this case, the maximum error is 50%, which means that using the thin tube criterion based on the inner diameter will result in a stress value that is only half of the actual stress on the surface of the tube.


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A tube has 100mm inner diameter and the walls are 20mm thick. It is subjected to an internal pressure of 20MPa. Calculate the maximum error in hoop stress at the surface if a thin tube criterion based on the inner diameter is used.?
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A tube has 100mm inner diameter and the walls are 20mm thick. It is subjected to an internal pressure of 20MPa. Calculate the maximum error in hoop stress at the surface if a thin tube criterion based on the inner diameter is used.? 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 A tube has 100mm inner diameter and the walls are 20mm thick. It is subjected to an internal pressure of 20MPa. Calculate the maximum error in hoop stress at the surface if a thin tube criterion based on the inner diameter is used.? covers all topics & solutions for Civil Engineering (CE) 2024 Exam. Find important definitions, questions, meanings, examples, exercises and tests below for A tube has 100mm inner diameter and the walls are 20mm thick. It is subjected to an internal pressure of 20MPa. Calculate the maximum error in hoop stress at the surface if a thin tube criterion based on the inner diameter is used.?.
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