Rubber Trapezoid and Righting Moment

  • #1
CptCavin
2
0
TL;DR Summary
Tipping Moment and Righting Moment of an object on a rubber platform.
I am trying to understand how to find the righting moment of an inflatable trapezoid with 75-pounds at the top. The object at the top is 10" tall and weighs 75-pounds. The 75-pound weight will be fixed to the top of the inflatable trapezoid. The top and bottom of the trapezoid have rigid platforms glued to them post production of the inflatable trapezoid. The primary movement will not be a yaw in any direction but a bounce up and down movement.

I like math and all this but having a hard time to which rules and principles I should get familiar with before chatting with an engineer.
 

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  • #2
Is the inflatable trapezoid inflated enough that we can consider it rigid, or do we need to assume it will deform during tipping?

Also, is the result of this thing tipping over just going to be some inconvenience picking stuff up off the ground, or is a tipping event a hazard that risks harm to someone?
 
  • #3
Great questions — It would deform and potentially tip, but it wont burst. The tipping event is a risk that would harm someone. I have a few ideas for a safety mechanism but still working that part...
 
  • #4
Welcome!

The whole thing needs to be turned over sideways beyond 51 degrees from the represented position in order to make it flip over.

Do you believe that the bouncing could take it to that extreme?

The following is a scaled drawing.

Tipping body.jpg
 
Last edited:
  • #5
CptCavin said:
It would deform and potentially tip, but it wont burst.
Then one edge of the mass can sink into the inflated rubber trapezoidal envelope.
Any tilt of the mass will increase the force applied to that edge.
The mass can then roll off the rubber stand.
Internal pressure will be critical to stability.
 
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  • #6
Can you regard the sidewalls of the inflated structure as inextensible?
 

Related to Rubber Trapezoid and Righting Moment

What is a rubber trapezoid in the context of righting moment?

A rubber trapezoid is a shape used to model the buoyancy force acting on a boat's hull. It is often used in calculations to determine the righting moment, which is the force that helps a boat return to an upright position when tilted.

How is the rubber trapezoid related to the stability of a boat?

The rubber trapezoid represents the distribution of buoyancy forces along the length of the boat's hull. By analyzing the shape and size of the trapezoid, scientists can assess the stability of the boat and its ability to resist capsizing.

What factors affect the size and shape of the rubber trapezoid?

The size and shape of the rubber trapezoid are influenced by the design and dimensions of the boat's hull. Factors such as the beam width, draft depth, and hull shape all play a role in determining the characteristics of the trapezoid.

How does the rubber trapezoid contribute to the calculation of righting moment?

The rubber trapezoid provides information about the distribution of buoyancy forces, which is essential for calculating the righting moment. By integrating the area under the trapezoid curve, scientists can determine the total righting moment generated by the boat's hull.

Why is the concept of righting moment important in naval architecture?

The concept of righting moment is crucial in naval architecture as it helps engineers and designers assess the stability and safety of a boat. Understanding the righting moment allows for the optimization of hull design to ensure that the boat remains upright and seaworthy in various conditions.

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