Shear stress and normal stress

In summary, the shear stress is maximum at the center while the normal stress is maximum at the boundary. This is because shear stress is to pull the two surfaces apart, while the normal stress is produced as a result of bending and is highest at the locations further away from the neutral axis of the beam. This is because the fibers at these locations undergo the greatest stretching or compression. It is recommended to refer to an elementary strength of materials text for a better understanding of this concept.
  • #1
foo9008
678
4

Homework Statement


why the shear stress is maximum at the center ? while the normal stress is maximum at the boundary ?

ETpHIWJ.jpg

Homework Equations

The Attempt at a Solution


why shouldn't the shear stresss maximum at the boundary ? this is because shear stress is to pull the 2 surface apart [/B]
 
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  • #2
foo9008 said:

Homework Statement


why the shear stress is maximum at the center ? while the normal stress is maximum at the boundary ?

ETpHIWJ.jpg

Homework Equations

The Attempt at a Solution


why shouldn't the shear stresss maximum at the boundary ? this is because shear stress is to pull the 2 surface apart [/B]
Why should shear stress be a maximum at the boundary? There is nothing being sheared there, i.e., the boundary is not being restrained.
 
  • #3
I noticed one thing , why the normal stress is maximum and minimum at the boundary?
 
  • #4
chetzread said:
I noticed one thing , why the normal stress is maximum and minimum at the boundary?
If the normal stress is produced as the result of bending, then the locations the furthest away from the neutral axis of the section will also have the highest stress, in tension and compression.
 
  • #5
SteamKing said:
If the normal stress is produced as the result of bending, then the locations the furthest away from the neutral axis of the section will also have the highest stress, in tension and compression.
can you explain further? i still don't understand
 
  • #6
chetzread said:
can you explain further? i still don't understand
Do you understand what bending stress is? How it's calculated?
 
  • #7
SteamKing said:
Do you understand what bending stress is? How it's calculated?
bending stress is shear stress?
 
  • #8
chetzread said:
bending stress is shear stress?
No, bending stress is not the same as shear stress.

Bending produces normal stresses in a section, both compressive and tensile. Along the neutral axis, the bending stress is zero.
 
  • #9
SteamKing said:
If the normal stress is produced as the result of bending, then the locations the furthest away from the neutral axis of the section will also have the highest stress, in tension and compression.
why the location further away from neutral axis will have maximum stress?
 
  • #10
chetzread said:
why the location further away from neutral axis will have maximum stress?
Because the fibers at those locations undergo the greatest stretching/compression.

Look, instead of me spoon-feeding you elementary beam theory, it would probably be better for you to grab an elementary strength of materials text and learn this material first hand.

http://homepages.engineering.auckla...07_Elasticity_Applications_04_Beam_Theory.pdf
 
  • #11
SteamKing said:
Because the fibers at those locations undergo the greatest stretching/compression.

Look, instead of me spoon-feeding you elementary beam theory, it would probably be better for you to grab an elementary strength of materials text and learn this material first hand.

http://homepages.engineering.auckla...07_Elasticity_Applications_04_Beam_Theory.pdf
so , the normal stress is maximum on the the upper part of the beam , the normal stress is minimum at the lower part of the beam(expansion) ?
 
  • #12
bump
 

1. What is the difference between shear stress and normal stress?

Shear stress is the force that acts parallel to a surface, causing it to slide or deform. Normal stress, on the other hand, is the force that acts perpendicular to a surface, causing it to compress or expand. In other words, shear stress causes a material to bend or twist, while normal stress causes it to stretch or compress.

2. How do shear stress and normal stress affect the strength of a material?

Shear stress can weaken a material by causing it to deform or fracture, while normal stress can either strengthen or weaken a material depending on its direction and magnitude. For example, a material may be stronger in tension (normal stress pulling on the material) than in compression (normal stress pushing on the material).

3. What factors can influence the magnitude of shear stress and normal stress?

The magnitude of shear stress and normal stress can be influenced by factors such as the type of material, its shape and size, the applied load, and the direction and location of the load. Additionally, the internal structure and properties of the material, such as its stiffness and yield strength, can also affect the magnitude of these stresses.

4. What are some real-world applications of shear stress and normal stress?

Shear stress and normal stress play a crucial role in many engineering applications, including the design and analysis of structures such as bridges, buildings, and airplanes. They also play a role in everyday objects such as furniture, tools, and even our own bodies. For example, shear stress is responsible for the movement of our muscles and tendons, while normal stress helps to support our body weight.

5. How can shear stress and normal stress be calculated or measured?

Shear stress and normal stress can be calculated using mathematical equations based on the applied load, material properties, and geometry of the object. They can also be measured using specialized instruments such as strain gauges, which can detect the deformation of a material caused by these stresses. In some cases, shear stress and normal stress can also be estimated using computer simulations and modeling techniques.

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