Bending and circumferential stress-Cylinder

  • Thread starter har_rai
  • Start date
  • Tags
    Bending
In summary, bending stress in a cylinder is the stress that occurs when a cylinder is subjected to a bending moment, and can result in tension or compression. This stress can be calculated using the formula σ = Mc/I. On the other hand, circumferential stress in a cylinder is caused by forces acting tangentially around the circumference and is commonly seen in pressurized cylinders. It can be calculated using the formula σ = pr/t. These two types of stress can coexist and interact in a cylinder, requiring careful consideration in engineering design.
  • #1
har_rai
10
0

Homework Statement


How do we combine bending stress on thick walled cylinder from external point load or moment to other longitudinal, radial and hop stresses which are from pressurized thick walled cylinder. Since bending stress and longitudinal stresses are in the same direction, do we just add hose. or if hoop stresses significantly higher than bending stress, we just say cylinder is critical for hoop stress.

Homework Equations

The Attempt at a Solution

 
Physics news on Phys.org
  • #2
Stresses that act in the same direction can be added algebraically. Do bending stresses act in the same direction as hoop stresses?
 

FAQ: Bending and circumferential stress-Cylinder

1. What is bending stress in a cylinder?

Bending stress in a cylinder refers to the stress that is produced when a cylinder is subjected to a bending moment, causing it to bend or deform. This type of stress is caused by the distribution of forces acting on the cylinder and can result in tension or compression on different parts of the cylinder.

2. How is bending stress calculated in a cylinder?

The bending stress in a cylinder can be calculated using the formula σ = Mc/I, where σ is the bending stress, M is the bending moment, c is the distance from the neutral axis to the outermost point of the cylinder, and I is the moment of inertia of the cylinder. This formula is based on the assumption that the cylinder is homogeneous and has a circular cross-section.

3. What is circumferential stress in a cylinder?

Circumferential stress in a cylinder refers to the stress that is caused by the distribution of forces acting in a tangential direction around the circumference of the cylinder. This type of stress is commonly seen in pressurized cylinders, where the internal pressure causes the cylinder to expand and experience stress along its circumference.

4. How is circumferential stress calculated in a cylinder?

The circumferential stress in a cylinder can be calculated using the formula σ = pr/t, where σ is the circumferential stress, p is the internal pressure, r is the radius of the cylinder, and t is the thickness of the cylinder wall. This formula is based on the assumption that the cylinder is thin-walled and the stress is uniform across the wall thickness.

5. How does bending stress relate to circumferential stress in a cylinder?

Bending stress and circumferential stress are two types of stress that can coexist in a cylinder. Bending stress is caused by external forces acting on the cylinder, while circumferential stress is caused by internal pressure. In some cases, the two types of stress can interact and affect each other, resulting in combined stresses that must be taken into consideration in engineering design.

Similar threads

Thick walled Pressure vessel -Principle stresses
Replies
4
Views
2K
Calculate Pressure vessel Collapse Pressure
Replies
8
Views
4K
Strain and Stress in Thin-Walled Hoops Under Pressure
Replies
9
Views
3K
Parallel Axis Theorem / Bending Stress
Replies
6
Views
2K
Stress in cylinders due to thermal expansion
Replies
16
Views
1K
Question related to Bending Stress and Shear Stress of a I shape beam
Replies
1
Views
2K
Yes, that is correct. Good job!
Replies
11
Views
4K
Structural Mechanics. bending moment and bending stress
Replies
17
Views
4K
Stress and deformation of a cylinder
Replies
1
Views
1K
Maximum Bending Stress in Cantilevered Steel Channel Beam
Replies
6
Views
2K

Hot Threads

Recent Insights

Back
Top