advanced structural analysis egf316 - swansea...
TRANSCRIPT
![Page 1: Advanced Structural Analysis EGF316 - Swansea Universityengweb.swan.ac.uk/~c.kadapa/teaching/2017-2018...•Thin cylinders under pressure •Hoop stress •Longitudinal stress •Strains](https://reader030.vdocuments.us/reader030/viewer/2022040917/5e90b2c415f5d81caa249890/html5/thumbnails/1.jpg)
Thin and Thick Cylinders
Advanced Structural Analysis
EGF316
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Lecture Content
• Thin cylinders under pressure
• Hoop stress
• Longitudinal stress
• Strains and changes in dimension
• Thick cylinders under pressure
• Lamé’s theory
• Longitudinal stress
• Maximum shear stress
• Strains and changes in dimension
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Some typical examples
Credits: www.davi.com Credits: www.istockphoto.com
Credits: www.weholite.com
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Some failures in history
Credits: www.wikipedia.org Credits: www.pveng.com
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Stresses in cylinders
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Stresses in cylinders
– cylindrical coordinates
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Thin Vs Thick Cylinders
Thin Cylinders Thick Cylinders
Di
t
all are constant
is negligible
is constant
vary with radius
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Thin Cylinder – hoop stresses
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Thin Cylinder - longitudinal stress
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Changes in Dimensions
Change in length:
Change in diameter:
Change in volume:
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Example 1:
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Example 2:
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Thick Cylinders - Lamé’s Theory
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Lamé’s Theory
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Lamé’s Theory
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Internal Pressure Only
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Longitudinal Stress
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Maximum Shear Stress
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Strains
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Changes in Dimensions
Change in diameter:
Change in length:
Change in volume:
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Example 3:
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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Example 4:
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Class Test in next session – 30%
Content – Course material so far
Type – Open book
Duration – 1 hour