Understanding Hoop Stresses and Principal Stresses in Thin Cylindrical Shells

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Explanation of principal planes and stresses in thin cylindrical shells, defining concepts such as principal planes, principal stresses, major principal stress, minor principal stress, major principal plane, and minor principal plane. Detailed explanation of hoop stress (circumferential stress) and longitudinal stress in thin cylindrical structures like tanks, boilers, steam pipes, gas, or water pipes.


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  1. C304.2 Calculate the hoop stresses & principal stresses.

  2. Principal planes and stresses Group A: Concept of principal planes and stresses Group B: Thin cylindrical shell

  3. Simple definition: Principal plane: A plane which carries only normal stress and no shear stress is called Principal stress: The magnitude of normal stress acting on the principal plane is called Major Principal Stress: The maximum value of normal stress acting on the principal plane is called Minor Principal Stress: The minimum value of normal stress acting on the principal plane is called Major Principal Plane: A plane which carries a major principal stress is called . Minor principal plane: A plane which carries a minor principal stress is called .

  4. When 20, then cylindrical shell is thin , where t= thickness & d= diameter e.g.: tanks, boilers, steam pipes, gas or water pipes Basic definition: Hoop stress or circumferential stress ( c):- The stresses which act in the tangential direction to the circumference of the cylinder are called .. Longitudinal stress ( L):- The stresses which act parallel to the longitudinal axis of the cylinder are called ..

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