Understanding Deflection of Cantilever: Direction of Moment M Explained

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Discussion Overview

The discussion revolves around the understanding of the direction of the moment M in the context of a cantilever beam under load. Participants are examining the relationship between applied forces and moments, particularly focusing on the equilibrium conditions and the implications for deflection calculations.

Discussion Character

  • Homework-related
  • Technical explanation
  • Debate/contested

Main Points Raised

  • One participant questions why the moment M is considered anticlockwise, suggesting it should be clockwise based on their understanding of the cantilever bending under load P.
  • Another participant explains that for equilibrium, the internal moment must counteract the applied moment, indicating that if the applied moment is clockwise, the internal moment must be anticlockwise.
  • A further inquiry is made regarding the relationship between the direction of moment M and the applied force P, questioning how they can be in the same direction while maintaining equilibrium.
  • There is a mention of focusing on the internal moment in the deflection equation, prompting a question about the rationale behind this focus.
  • One participant points out that the author assumed a clockwise internal moment, but calculations suggest it is actually negative or anticlockwise, indicating a potential misunderstanding of basic equilibrium concepts.

Areas of Agreement / Disagreement

Participants express differing views on the direction of moment M and its relationship to the applied force P. There is no consensus on the correct direction of moment M, and the discussion remains unresolved regarding the interpretation of equilibrium conditions.

Contextual Notes

Participants are navigating complex concepts of equilibrium and moment direction, with some relying on specific examples that may not align with basic principles. There are unresolved assumptions about the definitions of moments and forces in this context.

chetzread
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Homework Statement


in the notes , i don't understand the circled part . I don't understand why the circled part moment M is in anticlockwise direction ... Shouldnt it be in clockwise direction ?

Homework Equations

The Attempt at a Solution


As we can see , the P at the one end will cause the cantilever to bend in clockwise direction . So , i think that the direction of moment M is wrong ...
It should point in clockwise dircetion , which means M = -P(∂ -y) , am i right ?
 

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The sketch shows the internal force and moment at the cut section, required for equilibrium. Applied moment is clockwise, so internal moment is ccw. Applied force P is downward, so internal force P is upward.
 
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PhanthomJay said:
The sketch shows the internal force and moment at the cut section, required for equilibrium. Applied moment is clockwise, so internal moment is ccw. Applied force P is downward, so internal force P is upward.
ok, can you look at the example below, why the circled moment M is same direction with the moment due to applied force P?
since they are in the same direction,how can they are in equilibrium?
 

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PhanthomJay said:
The sketch shows the internal force and moment at the cut section, required for equilibrium. Applied moment is clockwise, so internal moment is ccw. Applied force P is downward, so internal force P is upward.
so, in the deflection equation, we are focusing on the internal moment? why?
 
The author assumed a clockwise internal moment but the calcs show in the 2nd images that it is actually negative or ccw. You again are looking at complex examples in trying to understand basic equilibrium concepts.
 

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