# Thin Cylinders

By Mallesham Devasane|Updated : December 30th, 2016

Types of Pressure Vessels Pressure vessels are mainly of two type:

• Thin shells

If the thickness of the wall of the shell is less than 1/10 to 1/15 of its diameter, then shell is called thin shells.

• Thick shells
If the thickness of the wall of the shell is greater than 1/10 to 1/15 of its diameter, then shell is called shells.

where Nature of stress in thin cylindrical shell subjected to internal pressure
1. Hoop stress/circumferential stress will be tensile in nature.
2. Longitudinal stress/axial stress will be tensile in nature
3. Radial stress will be compressive in nature.
Stresses in Thin Cylindrical Shell:
• Circumferential Stress /Hoop Stress

Where, p = Intensity of internal pressure
d = Diameter of the shell
t = Thickness of shell
η = Efficiency of joint
• Longitudinal Stress

• Hoop Strain

• Longitudinal Strain

• Ratio of Hoop Strain to Longitudinal Strain

• Volumetric Strain of cylinder
Stresses in Thin Spherical Shell:
• Hoop stress/longitudinal stress
• Hoop stress/longitudinal strain

• Volumetric strain of sphere

Lame’s Theory
Lame’s theory is based on the following assumptions

Assumptions
1. Homogeneous material.
2. Plane section of cylinder, perpendicular to longitudinal axis remains under plane and pressure. Hoop stress at any section  Radial pressure

Subjected to Internal Pressure (p)

• At
• At
Subjected to External Pressure (p)
• At
• At
Note: Radial and hoop stresses vary hyperbolically.

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Masthan WaliJun 8, 2016

Thanks sir
......

Pavan KambleJun 12, 2016

Thanx sir...

Paritosh KasaudhanJun 13, 2016

Thanks

Yuvaraj YuvarajJun 23, 2016

Easy to understand

Uttam MauryaJun 27, 2016

Tq

nani babuJun 28, 2016

Thanku sit

Akarsh KumarJun 30, 2016

Sir,  do we have to mug up all these formulas

Akarsh KumarJun 30, 2016

??

Dinu HateJul 11, 2016

Thank you soo much sir☺

Novajyoti BorahOct 23, 2016

thnks
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