Dalam project kita memberikan contoh permasalahan kepada Computational AI Agent kita dengan masalah bagaimana hasil jawabannya mengenai Simple Solid Struckture Analysis.
Pertanyaan yang saya tanyakan adalah:
explain to me what happen simple cantilever beam that fixed on the left and given force to right side
Jawaban dari AI Agent kita adalah :
Okay, let’s break down how a simple cantilever beam behaves when fixed at one end and subjected to a force at the other end. Here’s a detailed explanation:
Understanding the Basic Concept
A cantilever beam is a beam supported at only one end. Because of this simple geometry, it experiences significant deflection (bending) when a force is applied to the free end. The deflection is a measure of how much the beam bends under the load.
How it Works – The Physics
- The Load and the Bending Moment: When you apply a force to the free end of the cantilever, it creates a moment at the fixed end. A moment is a rotational force that tends to cause a rotation. The moment is essentially the force multiplied by the distance from the fixed end to the point of application of the force.
- The Differential Bending: Because the beam is only supported at one end, it experiences a differential bending – this means the bending moment is not evenly distributed along the beam’s length. The bending stress is greater at the fixed end compared to the free end. This is because the maximum bending moment occurs at the fixed end.
- Euler’s Formula: The key equation that describes the deflection in a cantilever beam is Euler’s formula. It’s a simplified way to represent the bending moment distribution:
- M = (w * L^2) / 8
- M is the bending moment
- w is the distributed load (the force you’re applying)
- L is the length of the beam
Key Outcomes & Factors
- Deflection: The deflection (the amount the beam bends) will be higher at the fixed end. The bending stress will be lower at the fixed end compared to the free end.
- Stress Distribution: The bending stress (the force per unit area) is highest at the fixed end. This is the region where the beam is most stressed.
- Maximum Deflection: The maximum deflection in a cantilever beam will occur at the free end of the beam.
- Cantilever Resistance: The cantilever beam resists the applied force primarily by bending. It does not resist the force in the same way that a beam supported by two hinges would.
Visualizing the Situation
Imagine a perfectly straight cantilever beam. It would be uniformly supported at its ends, meaning it experiences no bending force. The moment at the fixed end is zero. But in a cantilever, the moment at the fixed end is much larger.
Resources for More Information
- Engineering Toolbox: https://www.engineeringtoolbox.com/cantilever-beam-d4
- YouTube – How cantilever beam deflections are calculated: https://m.youtube.com/watch?v=2WzX3fG_uXg
- Design Generator: https://designgenerator.com/finite-element-analysis-calculator – Offers a calculator to determine deflection and stress in cantilever beams.
In short, a cantilever beam will bend significantly, with the bending stress being highest at the fixed end. The deflection will be greatest at the free end.
