Simple Deflection of a Cantilever Frame. .

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Discussion Overview

The discussion revolves around determining the horizontal deflection at the tip of a cantilever frame with uniform stiffness EI. Participants explore the interaction between the vertical and horizontal sections of the frame and how to approach the problem of deflection.

Discussion Character

  • Homework-related
  • Technical explanation
  • Exploratory

Main Points Raised

  • One participant seeks guidance on how to approach the problem, expressing difficulty in understanding the interaction between the vertical and horizontal sections of the frame.
  • Another participant suggests separating the frame into individual beams to simplify the analysis.
  • A further contribution notes that the right angle between the two beams remains constant during deflection, which may influence the analysis.
  • Questions arise about how to effectively split the frame into two beams and what forces and moments would act at the connection point B.
  • Participants discuss the necessity of drawing a free body diagram for the segment BC to identify the forces and moments acting on AB at joint B.

Areas of Agreement / Disagreement

Participants generally agree on the need to analyze the frame by separating it into individual beams, but there is no consensus on the specific approach to take or the forces involved at the joints.

Contextual Notes

Participants express uncertainty regarding the forces and moments acting at the joints and the implications of maintaining a right angle during deflection. The discussion does not resolve these uncertainties.

Who May Find This Useful

Students and practitioners interested in structural analysis, particularly those dealing with cantilever beams and frame deflection problems.

voltron
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Homework Statement


For the given frame, find the horizontal deflection at the tip of the frame (deflection)C. The frame has a uniform stiffness EI.

http://img27.imageshack.us/img27/5493/83214722.png

The Attempt at a Solution


I don't actually have anything to show, all I want is a hint in the right direction. I'm fine with solving cantilever beams with a given force applied, but I'm just really stuck with this frame, and how the vertical section of it interacts with the horizontal. I know it will deflect both horiztonally and vertically at C, but yeah, just not sure how to go about it...

A quick hint will hopefully be all I need.

Thanks guys,
 
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Separate into individual beams.
 
and note that the right angle between the 2 beams remains a right angle when the frame deflects.
 
How would I go about splitting it into 2 beams? If I make AB a simple cantilever beam, what forces/moments would be acting at point B?
 
voltron said:
How would I go about splitting it into 2 beams? If I make AB a simple cantilever beam, what forces/moments would be acting at point B?
If you draw a free body diagram of BC only, what force and moment (couple) acts on AB at joint B?
 

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