8/7/2019 Solid Mechanic 2 - Assignment 4 Group(2)

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Solid Mechanic 2 BMCS3333

Semester 2 2011/2011

ASSIGNMENT (Group 4)

1. A composite aluminium alloy ( E= 72GPa and v = 0.33 ) cylinder is made up of an innercylinder with inner and outer diameters of 80 and 120mm, respectively, and outer

cylinder with inner and outer diameters of and 120 and 240mm, respectively. The

composite cylinder is subjected to an internal pressure of 160MPa. What the shrinkage

pressure must be if the hoop stress at the inside of the composite cylinder is equal to

130MPa. Draw the stress distribution along the walled thickness and discuss whether the

composite with the applied pressure is safe or not by using von-Mises and Tresca theory.

2. A thin walled closed end pressure vessel with compressed air as shown in Figure S1. Thetank has a diameter of 610mm and the wall thickness of 25.4mm. In an earthquake, thetorque T has been built on the longitudinal axis of the tank.

A strain rosette has been installed at point A to monitor behaviour of the tank effect by

the earthquake. Due to the pressure and earthquakes, the strain gauge readings were as

follows;

If E = 200GPa, G = 83GPa and v = 0.28, find the torque T and the pressure of

compressed air in the tank. There are also search the principal stresses on the location of

A. (Ignore the weight of tanks and their contents.). Discuss whether the tank effect by

earthquake is still safe or not.

3. A closed ended thick cylinder is subjected to an internal pressure only. Which yield criteriawill result in the thickest cylinder? Give reason in your discussion.

A closed ended thick cylinder has the following dimensions which are internal radius is

0.1m and external radius is 0.15m. The cylinder is subjected to an external pressure of Po

8/7/2019 Solid Mechanic 2 - Assignment 4 Group(2)

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= 22MPa and an internal pressure of Pi. If the cylinder is designed according to the

Tresca yield criterion, calculated the internal pressure Pi. The cylinder is made from steel

where yield= 240MPa and v=0.3. Subsequently sketch the hoop and radial stresses in the

wall of the cylinder.

Instruction:

1. This assignment should be done by a group of FOUR students.2. The ideal length of this assignment is about 3,000 words.3. The completed assignment should be properly bonded along with a cover page. Dont forget

to write down your name on the cover page.

4. Please do the assignment on your own creativity and language. Identical assignment will bestrictly penalized.

5. Submit the assignment on 14 February 2011 (or the 6th week of your lecture session) inlecture room.