The directions of normal and shear stress

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SUMMARY

The discussion centers on the application of Newton's second law to analyze normal and shear stress in a given problem. Participants emphasize the importance of drawing free body diagrams for planes A and B to accurately represent the forces involved. The consensus is that visual representation aids in distinguishing between the various stress components, particularly at angles of 135 degrees. The suggestion to utilize vector components is highlighted as a critical step in solving the problem effectively.

PREREQUISITES
  • Understanding of Newton's second law
  • Knowledge of free body diagrams
  • Familiarity with normal and shear stress concepts
  • Basic vector analysis skills
NEXT STEPS
  • Study the principles of free body diagram construction
  • Learn about normal and shear stress calculations in mechanics
  • Explore vector decomposition techniques in physics
  • Review applications of Newton's laws in static equilibrium problems
USEFUL FOR

Students in engineering mechanics, physics enthusiasts, and professionals involved in structural analysis or materials science will benefit from this discussion.

yecko
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Homework Statement


螢幕快照 2018-04-06 上午8.43.51.png

Homework Equations


direction of normal and shear stress

The Attempt at a Solution


I view it like A and C are the same; B and D are the same...
as both shear stress of A and C points outwards and shear stress point to the corner with 135 deg
vice versa for B and D

what should I notice from this problem and what theorem can I apply to it so that I can distinguish the correct answer?
thank you
 

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  • 螢幕快照 2018-04-06 上午8.43.51.png
    螢幕快照 2018-04-06 上午8.43.51.png
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Is there a choice "e" as stated in the problem, but which doesn't show on your image?
 
E is to draw the correct answer by yourself
 
yecko said:
E is to draw the correct answer by yourself
But the problem doesn't say that. Why do you say that?
 
yecko said:
what theorem can I apply to it so that I can distinguish the correct answer?
Newton’s second law.
 
yecko said:
E is to draw the correct answer by yourself
Oh I think I understand. Image (e) is just a blank that asks you to draw in the correct diagram. Well since (a), (b), (c), and (d) may be incorrect, it is best to get out your pencil and paper and start drawing up (e). Draw free body diagrams of either plane A or B, using Newton's laws, and utilize your knowledge of vectors and vector components acting normal and perpendicular to the inclined section.
 

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