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harpreet singh
- 40
- 0
Hey people can u please tell me what will be the boundary conditions for a circular plate with a central hole clamped at the circumference... Plate is axis symmetric and is under uniform load..
I was trying to not directly quote that to get the OP to think about the conditions on his own...Make him work!Mech_Engineer said:According to Roark's Table 11.2 Case 2e (Annular plate, outer edge fixed, inned edge free), the following boundary conditions apply:
- Bending moment at the free end is zero.
- Shear force at the free end is zero.
- Displacement at the fixed end is zero.
- Slope at the fixed end is zero.
They also have a definition of the shear force at the fixed edge (enge "a") that is basically a calculation of the reaction force along that edge.
[tex]Q_{a}=\frac{-q}{2a}(a^2-r_{o}^2)[/tex]
FredGarvin said:I was trying to not directly quote that to get the OP to think about the conditions on his own...Make him work!
harpreet singh said:Can u please check wat r d conditions if inner edge is simply supported and outer edge clamped..
I just can't touch that one...Mech_Engineer said:Sorry about that Fred, I just get so excited!
A circular plate with a hole is a simple structure often used in engineering and mechanics to demonstrate the principles of stress and strain. It is a circular-shaped plate that has a hole in its center, which creates a stress concentration point.
Boundary conditions are the constraints or limitations imposed on a physical system, such as a circular plate with a hole. They define the behavior of the system by specifying the values of certain variables, such as displacement, stress, or strain, at the boundaries of the system.
Boundary conditions are essential in analyzing a circular plate with a hole because they help us understand how the plate will behave under different loading conditions. They provide us with information about stress and strain distribution, deformation, and failure of the plate.
There are three main types of boundary conditions for a circular plate with a hole: fixed, simply supported, and free. In a fixed condition, the edges of the plate are fixed and cannot move. In a simply supported condition, the edges are allowed to rotate and move vertically, but not horizontally. In a free condition, the edges are free to move and rotate in all directions.
The type of boundary condition applied to a circular plate with a hole greatly affects the stress and strain distribution in the plate. Fixed boundary conditions result in high stress concentrations near the edges, while simply supported and free boundary conditions distribute the stress more evenly across the plate.