Hoop Stresses and Principal Stresses in Thin Cylindrical Shells

 
C304.2
 
Calculate the hoop stresses & principal stresses.
 
 
 
 
Principal planes and stresses
 
      
Group A:
Concept of
principal planes
and stresses
 
         Group B:
Thin cylindrical
shell
 
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….
 
 
 
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 (σ
c
):-
                       
The stresses which act in the tangential direction
to the circumference of the cylinder are called……..
Longitudinal stress (σ
L
):-
                           The stresses which act parallel to the
longitudinal axis of the cylinder are called……..
 
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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.

  • Cylindrical shells
  • Principal stresses
  • Hoop stress
  • Thin structures
  • Mechanical engineering

Uploaded on Jul 12, 2024 | 1 Views


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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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