Real world prob: bending of 26mT circular plate

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Discussion Overview

The discussion revolves around the structural analysis of a 26mT circular steel plate intended for lifting, focusing on the implications of welding and potential buckling. Participants explore the appropriate methods for calculating stress and moment distribution, particularly in the context of stress concentrations and the need for stiffeners.

Discussion Character

  • Technical explanation
  • Debate/contested
  • Mathematical reasoning

Main Points Raised

  • One participant outlines the dimensions and conditions of the circular plate, noting the use of a simply supported beam model for calculations, despite acknowledging its limitations.
  • Another participant emphasizes the importance of considering stress concentrations at the trunnion attachment points and suggests using a stress concentration factor from reference materials.
  • A further reply seeks clarification on how to apply the stress concentration factor, questioning whether it involves simply multiplying the maximum stress at the center.
  • Participants discuss the geometry of the cross-section, with one suggesting that the presence of a v-notch could complicate the bending stress calculations.
  • There is acknowledgment of the potential for the plate to bend in multiple directions, likening it to a potato chip, which raises concerns about the accuracy of the beam model.
  • Ultimately, one participant mentions the decision to add stiffeners to the plate, indicating a shift in approach based on the feedback received.

Areas of Agreement / Disagreement

Participants express differing views on the appropriateness of the simply supported beam model and the implications of stress concentrations, indicating that multiple competing views remain. The discussion does not reach a consensus on the best approach for calculating stresses or the necessity of stiffeners prior to the decision made by one participant.

Contextual Notes

Limitations include the assumption of no dynamic loading and the potential inaccuracies introduced by using a simplified beam model. The discussion also highlights the dependence on specific geometric factors that may not have been fully resolved.

chocolatebelt
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Hello all,

I'd like to check my work on this to make sure a safe lift is done.

We have an 11m diameter, 35mm thick, 26mT circular steel plate to which we will add two trunions at the ends. The circular plate is welded in 4 parts and once we weld one side we have to flip to weld the other. That is what the trunions are for. The welding for one side will mean the plates are only connected by half their cross section (35mm / 2) before flipping, so this is what I have used for second moment of area and section modulus.

I kept it simple and used a simply supported beam and calculated both as a center point load (worst case) and uniformly distributed load separately. I'm assuming no correction for dynamic loading and no stress concentration (though there will be I think) due to the other [open] side of the weld as it is a double v joint. I know using the simply supported beam is technically not correct as the theory assumes a constant cross section, so therefore I would like to check with the forum how you would go about solving this! The trunions are another problem altogether but I would first like to check whether we can lift the plate as is or if it needs stiffeners to prevent buckling under own weight.

Thanks for looking and your solutions. Regards
 
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An important thing you're missing is the stress concentration at the narrow region. You may be able to apply a stress concentration factor from a book like Roark's.
 
Unrest said:
An important thing you're missing is the stress concentration at the narrow region. You may be able to apply a stress concentration factor from a book like Roark's.

Thanks for the quick reply. I don't actually have the Roark's book. Is it as simple as taking the max stress at center and applying a multiplier for the region around the trunions, or how would you do it?
 
As I understand, your cross-section looks like a straight beam with a v-notch in the middle? You'd find the bending stress with no notch, then apply a factor according to the geometry of the notch.

A beam model may be even worse since it can try to bend in two directions - like a potato chip.
 
Unrest said:
As I understand, your cross-section looks like a straight beam with a v-notch in the middle? You'd find the bending stress with no notch, then apply a factor according to the geometry of the notch.

A beam model may be even worse since it can try to bend in two directions - like a potato chip.

hey,

I'm familiar with using a multiplier for stress concentrations, I just don't know how to calculate the stress at the trunnions as I am calculating it as a simply supported beam where moments are of course zero at supports.

It's ok though, we have decided to add stiffeners so thanks for your input.
 

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