Question
Download Solution PDFA cylindrical pipe of diameter 1.5 m and thickness 1.5 cm is subjected to internal fluid pressure of 1.2 N/mm2. Determine the longitudinal stress developed in the pipe.
Answer (Detailed Solution Below)
Detailed Solution
Download Solution PDFConcept:
Hoop stress for a cylindrical vessel \({{\sigma }_{h}}=\frac{PD}{2t}\)
Axial stress for a cylindrical vessel \({{\sigma }_{L}}=~\frac{PD}{4t}\)
Where P = Internal pressure, D = Internal Diameter, t = thickness
Calculation:
Given, P = 1.2 MPa, D = 1.5 mm = 1500 mm, t = 1.5 cm 15 mm
Hoop stress \({{\sigma }_{h}}=\frac{PD}{2t}=\frac{1.2\times 1500}{2\times 15}=60~MPa\)
longitudinal stress \({{\sigma }_{l}}=\frac{PD}{4t}=\frac{1.2\times 1500}{4\times 15}=30~MPa\)Last updated on May 28, 2025
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