Pressure in cylindrical tank

In summary, the cylinder in the picture has a maximum shear strength of 90Mpa and a maximum normal strength of 150Mpa. The tank has a wire tightly wrapped around it with a tensile stress of 250Mpa when empty. To find the stress the tank feels due to the wire, you need to take a cross section of the wire and use equilibrium to calculate the force the tank applies on the wire. The maximum pressure the tank can now be filled to after the wire reinforcement cannot be simply added to the maximum pressure before reinforcement. It depends on various factors and needs to be calculated taking into account the wire's tensile strength, the tank's material properties, and the amount of reinforcement provided by the wire.
  • #1
Dell
590
0
the cylinder in the picture below has a maximum shear strength of 90Mpa and a maximum normal strength of 150Mpa

Capture.JPG

the tank has a wire tightly wrapped around it so that the wire has a tensile stress of 250Mpa when the tank is empty,


what is the stress the tank feels due to the wire??

how can i find this out?
i think i need to take the wire, vut a cross section(half circle) and due to its equilibrium find the stress(through the force) the tank applies on the wire?

what is the maximum pressure the tank can now be filled to after the wire reinforcement??

i found the maximum the tank could be filled to before the wire was applied,, it came to 3Mpa (using PR/t)

can i now just add whatever pressure i found the wire to be pressing on the tank to the 3MPa i found before??
 
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  • #2
No, you cannot simply add the two pressures together to find the total pressure the tank can now withstand. The maximum pressure the tank can now be filled to depends on several factors, such as the wire's tensile strength, the tank's material properties, and the amount of reinforcement the wire provides. You need to calculate the overall strength of the tank with the wire reinforcement, taking into account all of these factors, before you can determine the maximum pressure the tank can now be filled to.
 
  • #3


it is important to approach problems systematically and use appropriate methods to find accurate solutions. In this case, to determine the stress the tank feels due to the wire, you can use the relationship between stress and force, where stress is equal to force divided by the cross-sectional area. So, by taking a cross-section of the wire, you can calculate the force it is exerting on the tank and then divide it by the cross-sectional area of the tank to find the stress.

To find the maximum pressure the tank can now be filled to after the wire reinforcement, you can use the maximum normal strength of the tank (150Mpa) and subtract the stress from the wire. This will give you the remaining strength that the tank can handle, and you can then use the same equation (PR/t) to calculate the maximum pressure the tank can be filled to.

In summary, you cannot simply add the pressure from the wire to the previous maximum pressure of 3Mpa, as the wire will also cause additional stress on the tank. It is important to consider all factors and use appropriate equations to find accurate solutions in scientific problems.
 

What is pressure in a cylindrical tank?

Pressure in a cylindrical tank refers to the force per unit area exerted by the liquid or gas inside the tank on its walls. It is typically measured in units of pounds per square inch (psi) or pascals (Pa).

How is pressure calculated in a cylindrical tank?

The pressure in a cylindrical tank can be calculated using the formula P = F/A, where P is the pressure, F is the force exerted by the liquid or gas, and A is the area of the tank's walls. In a cylindrical tank, the force is equal to the weight of the liquid or gas inside, and the area is the cross-sectional area of the tank.

What factors affect pressure in a cylindrical tank?

The pressure in a cylindrical tank is affected by several factors, including the temperature and volume of the liquid or gas inside, the height and diameter of the tank, and the type of material the tank is made of. Additionally, any external forces applied to the tank, such as agitation or compression, can also affect the pressure.

How does pressure change as the liquid or gas level changes in a cylindrical tank?

The pressure in a cylindrical tank will increase as the liquid or gas level rises, and decrease as the level decreases. This is because the weight of the liquid or gas is spread out over a larger or smaller area, resulting in a change in the force exerted on the tank's walls. However, the pressure at the bottom of the tank will remain constant regardless of the liquid or gas level.

What are some common applications of pressure in cylindrical tanks?

Cylindrical tanks are commonly used in industries such as oil and gas, chemical processing, and water treatment, where pressure is crucial for storing and transporting liquids or gases. They are also used in everyday products such as propane tanks, fire extinguishers, and scuba diving tanks.

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