Answer:
The maximum pressure= 230.76 M Pa
Step-by-step explanation:
Given that
Outer diameter=300 mm
Inner diameter=200 mm
Condition for thick cylinder:
If thickness of cylinder is greater than 1/20 times of internal diameter,Then it is called thick cylinder.
We know that when thick cylinder is subjected to external pressure ,the hoop stress given as
![\sigma _h=-P* (R_0^2+R_i^2)/(R_0^2-R_i^2)](https://img.qammunity.org/2020/formulas/engineering/college/qx78k6quj6pb21fz4vxuk7f44eu6gsol8o.png)
Now by putting values
![\sigma _h=-P* (150^2+100^2)/(150^2-100^2)](https://img.qammunity.org/2020/formulas/engineering/college/p5vadjvuebn8r9ebahvtsj11ubwk17x4mq.png)
![\sigma _h=-2.6 P](https://img.qammunity.org/2020/formulas/engineering/college/6e9rkr378qpmtjhglkwhcwyp7wnwx1px4k.png)
For safe design
![\sigma _h <S_(yt)](https://img.qammunity.org/2020/formulas/engineering/college/6oxztj38fqrduinu2aiwpimfychodqaxge.png)
So 2.6 P <600
P<230.76 MPa
So the maximum pressure= 230.76 M Pa