The discussion focuses on determining the boundary conditions for a circular plate with a central hole that is clamped at the circumference and subjected to a uniform load. Key boundary conditions include zero displacement and zero slope at the fixed edge, as well as zero bending moment and shear force at the free end, as outlined in Roark's Table 11.2 for annular plates. The shear force at the fixed edge can be calculated using the formula Q_{a}=\frac{-q}{2a}(a^2-r_{o}^2). The conversation also touches on the conditions for a simply supported inner edge and the importance of visualizing shear force and bending moment diagrams.
PREREQUISITESStructural engineers, mechanical engineers, and students studying mechanics of materials who are involved in analyzing circular plates and their boundary conditions under various loading scenarios.
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.
Q_{a}=\frac{-q}{2a}(a^2-r_{o}^2)
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!