BDA 37301 SOLID MECHANICS 2 LABORATORY 6

THICK CYLINDER

TAN KANG HUAI AD120174MUHAMMAD NURSYARAFFI BIN MOHD NAZRI AD120037TANG TSZ LOONG AD120160TEE JIANG HAO AD120154NURUL NADIRAH NASHARUDIN DD120066

UNIVERSITI TUN HUSSEIN ONN MALAYSIA Faculty of Mechanical and Manufacturing Engineering

The hoop stress is the force exerted circumferentially (perpendicular both to the axis and to the radius of the object) in both directions on every particle in the cylinder wall

The difference between a thin cylinder and a thick cylinder is that a thick cylinder has a stress in the radial direction as well as a circumferential stress and longitudinal stress.

Hoop stress, σH

Radial stress, σR

o where A and B are constants which can be determine using its boundary conditions

THEORY

OBJECTIVE

to demonstrate and analyze the stress systems in a thick cylinder.

The value in pressure gauge adjusted is not synominous with the computer pressure value

For computerized 5 MPa, the value in pressure gauge was a bit higher that value.

It took time for pressure to reach a stable value in computer as the reading always fluctuating.

All the strain value in every part of thick cylinder were stimulated in computer.

OBSERVATION

Gun barrel Piping

Pressure vessel

APPLICATION

Radius Gauge Number Nature of Strain Measured Strain(x 10^-6) Theoretical Strain(x 10^-6) Error Difference

1 Ɛh 42.2 45.3 3.12 ƐR -69.7 -39.3 -24.4

3 Ɛh 22.8 28.6 5.84 ƐR -36.4 -22.6 13.8

5 Ɛh 11.6 19.3 7.76 ƐR -29.2 -13.4 15.8

7 Ɛh 3.2 13.5 10.38 ƐR -19.16 -7.6 12

9 Ɛh 1.7 11.3 9.610 ƐR -18.1 -5.4 12.7

18.5 11 Ɛh 93.6 99.8 6.212 ƐL -4.9 -2.9 2

13 Ɛh -1.3 8.9 7.1

28

36

45

75

63

56

Table 1: Measured and calculated strain gauge values

RESULT

Formula for calculate strain gauge values

Radiusr/mm σh (N/m^2) σR (N/m^2) σh (N/m^2) σR (N/m^2)18.5 7680000 -2530000 5640000 -500000028 1740000 -4080000 2650000 -200000036 880000 -2370000 1730000 -108000045 160000 -2080000 1220000 -58000056 -270000 -1520000 910000 -26000063 -350000 -1440000 780000 -14000075 -110000 -350000 650000 0

Derived Theoretical

Table 2:Derived and theoretical stress values

Formula for calculate derived and theoretical stress

DISCUSSION

1. Radius increases, hoop stress decreases.2. Radius increases, radius stress increases.3. Both fulfilled Lame’s equation.4. Obvious deviation, errors like systematic existed5. Piping industry – maximum pressure & strain to avoid

break

We can conclude that:

Student able to know about stress and strain in cylinder.Experiment has achieved the objective. The data value obtained for experimental and theoretical are

different because of error.Parallax error while observe and taking reading.Overcome by taking reading repeatedly.Make sure the apparatus in good condition.

CONCLUSION