Analyzing a Cantilever Beam with Distributed Load and End Load

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Discussion Overview

The discussion centers on analyzing a cantilever beam subjected to a uniformly distributed load (UDL) and an end load. Participants explore the calculations needed for support reactions and the UDL, particularly in the context of transitioning from one-dimensional to three-dimensional beam analysis.

Discussion Character

  • Homework-related
  • Technical explanation
  • Conceptual clarification

Main Points Raised

  • One participant seeks assistance with calculating the UDL and support reactions for a cantilever beam with specific dimensions and loads.
  • Another participant emphasizes that the original poster should demonstrate some attempt at solving the problem, suggesting the use of beam diagrams.
  • A participant suggests calculating the volume of the beam to determine the distributed load based on the material's weight per unit volume.
  • It is noted that understanding the distributed load due to the beam's weight is the primary aspect requiring three-dimensional consideration in this scenario.

Areas of Agreement / Disagreement

The discussion does not reach a consensus, as participants express varying degrees of understanding and approaches to the problem. Some participants focus on the need for initial calculations, while others clarify the conceptual transition from one-dimensional to three-dimensional analysis.

Contextual Notes

Participants have not fully resolved the specifics of calculating the UDL or support reactions, and there are indications of missing assumptions regarding the approach to the problem.

Parner111
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Cantilever Help!

Hi,

I'm trying to do some work on a cantilever beam with UDL and load on the end. Is there anybody who could give me a hand because I am really struggling.

Many thanks

P
 
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What exactly are you wanting help with?
 
a rectangular beam of width 100mm and depth 200mm and 1.5m long has a 3kN load at the unsupported end and the beam is made of a material weighing 20kN/m^3.

i need to calculate the UDL and the support reactions
 
Well, this is homework. We do not provide answers. You need to show some kind of an attempt. What have you come up with so far? Have you seen beam diagrams?
 
sorry i didnt mean it to seem like homework, up to now i have only worked with one dimensional beams and never with 3 dimensional and just wondered how do u start. I think i can work everything else out once i know how i work out the UDL. I need to draw shear force and bending moment diagrams but I am ok with them.
 
Parner111 said:
I think i can work everything else out once i know how i work out the UDL.

Find the volume of the beam. You are given the weight / m^3.
 
Parner111 said:
sorry i didnt mean it to seem like homework, up to now i have only worked with one dimensional beams and never with 3 dimensional and just wondered how do u start. I think i can work everything else out once i know how i work out the UDL. I need to draw shear force and bending moment diagrams but I am ok with them.
Determining the distributed load due to the weight is really the only thing you'll use the 3rd dimension for in this case. Like was already mentioned, find the volume of the beam and and then multiply that by your weight per unit volume number. That will give you the total weight. Once you get that, I'd simply use a 2D beam to do the analysis.
 

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