How Does a Cantilever Beam Impact Structural Calculations?

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Discussion Overview

The discussion revolves around the impact of a cantilever beam on structural calculations, particularly in the context of a homework problem involving static equilibrium and support reactions. Participants explore how the presence of a cantilever beam influences the approach to solving the problem.

Discussion Character

  • Homework-related
  • Technical explanation
  • Conceptual clarification

Main Points Raised

  • One participant expresses confusion about how the cantilever beam affects the calculations, noting that they are usually comfortable with similar problems.
  • Another participant suggests treating the problem like a simply supported beam, indicating that the location of the roller support does not significantly alter the approach.
  • A participant questions whether the cantilever beam influences the reactions at the supports and seeks clarification on its impact.
  • One reply asserts that the cantilever nature does not affect the static equilibrium equations, suggesting to consider the cantilever as an unknown force.
  • Guidance is provided regarding the shear force being zero at both ends of the beam, which is noted as a helpful hint for solving the problem.
  • Another participant shares their attempt at calculating the reactions at the supports and requests feedback on their work.
  • A participant reviews the calculations, pointing out omissions in the applied load and forces in the summation, encouraging a revision of the attempt.
  • After a second attempt is posted, one participant praises the work as correct.

Areas of Agreement / Disagreement

Participants do not reach a consensus on the impact of the cantilever beam on the calculations, with some suggesting it does not change the approach significantly while others express uncertainty about its effects on support reactions.

Contextual Notes

Some assumptions about the nature of the loads and supports may be implicit in the discussion, and the specific details of the problem are not fully explored, leaving room for interpretation.

xperty
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1. Homework Statement

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Homework Equations



I am totally confused about this question because of the Cantilever beam. I am usally ok with these questions but the addition of the Cantilever beam has thrown me off.

The Attempt at a Solution



Only been attemped without Cantilever beam.
 
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For which part are you confused? Go about it like you would for a simply supported beam. It doesn't matter that the roller support isn't on the end.
 
I am confused to whether the Cantilever beam effects the reactions at each support and where it will make a difference in this question.
 
The fact that it's a cantilever doesn't affect anything, really. It just means that the support isn't on the end. You still go about your static equilibrium equations the same way and work from there. If it helps, just think of it as an unknown force. Were this a fixed support (with only one fixed support), then that would change things a little. But this problem works just like a regular, simply-supported beam.

Also, just a little hint for part B - you'll still have the shear force as 0 at both ends of the beam.
 
Ok thanks.
 
o6haa0.jpg


This is my attempt at finding the reactions at each support. I would appreciate it if you could tell me if i have went wrong.
 
xperty: You are doing fairly well, but you currently omitted one applied load in your summation(Fv). You also omitted two forces in your summation(Ma). Try again. Also, please do not post wide images directly to the forum page. Just post a text link to wide images.
 
xperty: Excellent work. Your answer in post 8 is correct.
 
  • #10
Thank you :D
 

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