Crane Arm Model using beam theory

In summary, for a crane arm on ships, a Bernoulli or Timoshenko model can be used as a first approximation. However, the points of attachment and dynamic effects of moving loads must also be considered for a more accurate design. In marine applications, the design must also take into account previous successes and failures, and the hydraulics and control system must be designed to protect the crane from exceeding design limits.
  • #1
Trying2Learn
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TL;DR Summary
Can a Bernoulli or Timoshenko model be reasonable for a crane arm, on ships?
Can a Bernoulli or Timoshenko model be reasonable for a crane arm, on ships?

Yes, the arm might have a truss element, yes there is a hydraulic force to lift the arm (or cables).

But to some extent, can one model the crane arm as one of a simple beam (either Timoshenko or Bernoulli -- and, which one of those, if them)?

And, yes, there are dynamic effects of moving loads, etc. But for a simple model, would either of those two theories work?
 

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  • #2
Trying2Learn said:
Can a Bernoulli or Timoshenko model be reasonable for a crane arm, on ships?
Yes, but only as a first approximation.
In the second approximation, the points of attachment become critical to the design.

Marine applications will be engineered based on a long experience of previous successes, with only a few minor failures. Good design requires the hydraulics and control system be designed to protect the crane from exceeding design limits while operating or stowed.
 

1. What is a crane arm model using beam theory?

A crane arm model using beam theory is a mathematical model used to analyze the structural behavior of a crane arm. It is based on the principles of beam theory, which assumes that the crane arm is a straight, slender element that can be modeled as a beam.

2. How does beam theory apply to crane arm models?

Beam theory is used to analyze the internal forces and deformations of a crane arm under different loading conditions. It takes into account the material properties, cross-sectional geometry, and support conditions of the crane arm to determine its structural behavior.

3. What are the assumptions made in a crane arm model using beam theory?

The main assumptions made in a crane arm model using beam theory include: the crane arm is a straight, slender element; it is subjected to axial and bending loads only; the material is homogeneous and isotropic; and the cross-sectional geometry remains constant throughout the crane arm.

4. What are the advantages of using a crane arm model using beam theory?

One of the main advantages of using a crane arm model using beam theory is that it simplifies the structural analysis process, making it easier to understand and interpret the results. It also allows for quick and efficient calculations of internal forces and deformations, which can be used to optimize the design of the crane arm.

5. Are there any limitations to using a crane arm model using beam theory?

Yes, there are some limitations to using a crane arm model using beam theory. It assumes that the crane arm is a straight, slender element, which may not accurately represent the actual geometry of the crane arm. It also does not take into account the effects of shear and torsion, which may be significant in certain loading conditions.

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