# Pressure Distribution in Thick-Walled Pressure Cylinder

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• Topic: Shear stress, Force, Mechanics
• Pages : 10 (2006 words )
• Published : May 17, 2012

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MARA UNIVERSITY OF TECHNOLOGY
FACULTY OF MECHANICAL ENGINEERING
Bach. Eng (Hons) MECHANICAL

DYNAMIC AND STRENGTH II
KJM 460

TITLE: Pressure distribution in thick-walled pressure cylinder

PREPARED BY:
MD RAZIF BIN HARUN 2004117707

GROUP MEMBERS:
1) FAITULMUEN BIN BURHANUDIN 2004117561
2) MOHAMAD NAZARULSYAH BIN MOHD NAJIB 2004336106
3) MOHAMAD ZAKI BIN ABU SEMAN 2004117579 4) NORUL AZMAN BIN ISMAIL 2004117659

PREPARED FOR:
EN. MOHD FAUZI BIN ISMAIL

DATE OF ASSIGNMENT:

1 AUGUST 2005

EXPERIMENT 5

OBJECTIVE:

To determine the stress distribution (hoop stress and radial stress) and strain distribution (hoop strain, radial strain and longitudinal strain)

APPARATUS:

Thick cylinder apparatus

THEORY:
[pic]
Figure 1

Figure 1 shows hollow cylinder, which is subjected to a uniformly distributed internal pressure P. In this experiment, the longitudinal stress L may be ignored due to the design of thick cylinder apparatus. The deformations produced are symmetrical about the axis of the cylinder and the principal strains are given by:

Hoop strainεн = σн _ υσR = 1 (σн – υσR)
E E E
Radial strainεR = σR _ υσн = 1 (σR – υσн)
E E E
Longitudinal stressεL = _ υσн _ υσR = _ 1 (σн + σR )
E E E

The elementary Lame Equations;
Radial stressσR = [pic] X [pic]
Hoop stressσн = [pic] X [pic]

For a cylinder under internal pressure and free from axial loading, the maximum shear stress will occur at the inner radius, then Maximum shear stress τm = [pic][pic]

Where[pic][pic]ratio of R2 to R1
VPoisson’s ratio
R2External radius of cylinder
R1Internal radius of cylinder

PROCEDURE:

1. The pressure and strain readings currently on screen are copied to the data table. 2 seconds are allowed to let the pressure and strains stabilize after any change in pressure before taking a reading. 2. A graph is created based on the current data table.

3. The current data table is printed.
4. The procedure 1-3 for stress readings is repeated.

Young’s modulus, E = 73.1 GPaPoisson’s ratio, υ = 0.33

RESULT (STRAIN)
P = 1.0MN/m²

Hoop Strain

|Gauge Number |1 |3 |5 |7 |9 |11 |13 | |Radius (mm) |28 |36 |45 |56 |63 |18.5 |75 | |Measured Strain (µ) |9.91 |5.79 |5.23 |2.99 |2.80 |19.25 |1.50 | |Calculated Strain |9.10 |5.74 |3.89 |2.72 |2.28 |20.07 |1.78 | |(µ) | | | | | | | | |Error (µ) |-0.81 |-0.06 |-1.35 |-0.27 |-0.53 |0.81 |0.29 |