Internal Shear Stress Question

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SUMMARY

The discussion centers on the concept of internal shear stress in statics, specifically regarding the delta V added to the shear force on the right side of a common figure found in statics textbooks. The user initially questions how increasing the shear force and moment on the right-hand face maintains equilibrium, suspecting a net downward force. Ultimately, the user realizes that the delta V may be negative, clarifying their misunderstanding of the concept. This highlights the importance of correctly interpreting shear forces in static equilibrium scenarios.

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  • Understanding of basic statics principles
  • Familiarity with shear force and moment diagrams
  • Knowledge of equilibrium conditions in mechanics
  • Ability to interpret figures and diagrams in engineering textbooks
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  • Study the concept of internal shear stress in detail
  • Review equilibrium conditions in static systems
  • Examine shear force and moment diagrams in various loading scenarios
  • Learn about the significance of delta V in structural analysis
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Students of engineering, particularly those studying statics, as well as professionals involved in structural analysis and design who seek to deepen their understanding of internal shear forces and equilibrium conditions.

rat4x4
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Something has been bugging me for a long time, since I took my first statics class a few years ago. I have a problem with a common figure found in many statics books. I have attached the figure to my post.

My question deals with the delta V added to the shear force on the right side of the figure. According to the textbooks, both the shear force and moment acting on the right-hand face must be increased by a small, finite amount in order to keep the segment in equilibrium. But wouldn't this take the segment out of equilibrium? I mean, you have the resultant loading acting downwards, and then you have a shear force on the right-hand face acting downwards which itself is greater than the shear force on the left hand side. Summing the forces in the y direction, wouldn't there be a net force downwards?

What am I missing here? Why does this not make sense to me and why is this figure so common in statics books?
 

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OK, I believe that I have figured it out. Perhaps the delta V is negative and I have always taken it to be a positive quantity.
 
Wow, what a stupid question. Sorry guys.
 

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