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The design of thin cylindrical shells is based on
  • a)
    Radial stress
  • b)
    Hoop stress
  • c)
    Longitudinal stress
  • d)
    Arithmetic mean of the hoop and the longitudinal stress
Correct answer is option 'B'. Can you explain this answer?
Verified Answer
The design of thin cylindrical shells is based ona)Radial stressb)Hoo...
The wall of a cylindrical shell subjected to internal pressure has to withstand tensile stresses of the following two types:
Circumferential or hoop stress, and (b) Longitudinal stress
Longitudinal stress:
Hoop stress:
We see that the longitudinal stress is half of the circumferential or hoop stress. Therefore, the design of a pressure vessel must be based on the maximum stress i.e., hoop stress.
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Most Upvoted Answer
The design of thin cylindrical shells is based ona)Radial stressb)Hoo...
The wall of a cylindrical shell subjected to internal pressure has to withstand tensile stresses of the following two types:
Circumferential or hoop stress, and (b) Longitudinal stress
Longitudinal stress:
Hoop stress:
We see that the longitudinal stress is half of the circumferential or hoop stress. Therefore, the design of a pressure vessel must be based on the maximum stress i.e., hoop stress.
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The design of thin cylindrical shells is based ona)Radial stressb)Hoo...
Design of Thin Cylindrical Shells

The design of thin cylindrical shells is based on hoop stress.

Hoop Stress

Hoop stress is the stress that occurs in the circumferential direction of a cylindrical pressure vessel. It is also known as tangential stress. Hoop stress is given by the formula:

σh = pd/2t

Where,
σh = Hoop stress
p = Internal pressure
d = Diameter of the cylinder
t = Thickness of the cylinder

Design of Thin Cylindrical Shells based on Hoop Stress

The design of thin cylindrical shells is based on the following factors:

- Material properties: The material used for the construction of the cylindrical shell must have sufficient strength to withstand the hoop stress.
- Diameter: The diameter of the cylindrical shell is an important factor in determining the hoop stress. A larger diameter will result in a higher hoop stress.
- Thickness: The thickness of the cylindrical shell must be sufficient to withstand the hoop stress. If the thickness is too thin, the shell may collapse under pressure.
- Corrosion: Corrosion can weaken the material of the cylindrical shell, which in turn can reduce its ability to withstand the hoop stress.

Conclusion

In conclusion, the design of thin cylindrical shells is based on hoop stress. The material properties, diameter, thickness, and corrosion are important factors that must be considered in the design of cylindrical shells.
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The design of thin cylindrical shells is based ona)Radial stressb)Hoop stressc)Longitudinal stressd)Arithmetic mean of the hoop and the longitudinal stressCorrect answer is option 'B'. Can you explain this answer?
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