Mechanical Failure of a Truncated Cone

In summary, the necessary data to calculate the failure point of a truncated cone under uniaxial stress includes the material properties, dimensions of the cone (including whether it is solid or hollow), knowledge of loading conditions at the top, and the established failure criterion. The cone described in the conversation is likely made of ABS reinforced with glass fibers, is hollow, and is under a static evenly distributed load. The failure point will be reached when the cone can no longer elastically return to its original shape. Additionally, buckling must be considered due to the eccentric loading and critical dimensions of the cone.
  • #1
DougieB39
4
0
What data do you need to calculate the failure point of a truncated cone when it is under uniaxial stress acting downward on the cone? The cone will be under stresses of roughly 30 tonnes and probably constructed of plastic.

Thanks,
 
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  • #2
Well let's see,

You need the material or its properties, the dimensions of the cone including whether it is solid or hollow, a knowledge of the loading conditions at the top to determine any eccentric loading.

Finally you need to establish you failure criterion.

Remember that with the conditions described, unless the cone is slender enough to buckle, the top slice will fail plastically before the slice underneath it and so on. So a squat cone will squash down plastically until either it is flat or it can support the load stress at a particular cross section.
 
  • #3
The material will probably be ABS reinforced with galss fibres, the cone will be hollow and the load at the top will just be a static load evenly distributed.

Failure conditions will be after it reaches the point that it won't elastically return to its shape.

I'm more interested it what formulae you would need to use and what material properties will need to be found/calculated.

thanks again
 
  • #4
Since gravity is vertical and the sides of your cone are not, you have a thin walled shell loaded eccentrically, rather than axially. You will definitely have to consider buckling. The dimensions become rather critical.
 
Last edited:
  • #5
1000m dia. base, 850mm dia. top, 3500mm height, 50mm wall thickness

Thanks
 

What is a truncated cone?

A truncated cone is a 3-dimensional geometric shape that is formed by cutting a cone at a certain angle and removing the smaller portion. It has a flat circular base and a curved surface that tapers to a point.

What is mechanical failure?

Mechanical failure is the inability of a material or structure to withstand the forces or loads that are applied to it, resulting in damage or breakage. In the case of a truncated cone, it refers to the cone's inability to maintain its shape and structural integrity under certain conditions.

What causes mechanical failure in a truncated cone?

The most common cause of mechanical failure in a truncated cone is excessive stress or strain. This can be due to factors such as overloading, inadequate design, material defects, or environmental factors such as temperature or corrosion.

How can mechanical failure of a truncated cone be prevented?

To prevent mechanical failure in a truncated cone, proper design and material selection are crucial. The cone must be able to withstand the expected forces and loads without exceeding its stress limits. Regular maintenance and inspections can also help identify any potential issues and prevent failure.

What are the consequences of mechanical failure in a truncated cone?

The consequences of mechanical failure in a truncated cone can vary depending on the application and the severity of the failure. It can range from minor damage and inconvenience to catastrophic events such as collapse or malfunction of a larger system. In some cases, it can also lead to injuries or loss of life.

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