Understanding Internal Moments in Mechanics of Materials

In summary, in mechanics of materials, we examine elemental cubes or planar squares and calculate the normal and shear stress on their faces. However, we omit the internal moments acting on each face. This is because the internal moment is a resultant of a distributed continuum of forces and can be eliminated by drawing a distribution of the continuum. This allows us to view the normal, shear, and moment in a different perspective.
  • #1
Cyrus
3,238
16
In mechanics of materials we often look at elemental cubes or planar squares, and we write the normal stress and shear stress acting on the faces. Why are the internal moments acting on each face omited? When we cut a frame-machine, we include a shear, normal and moment, why not for the elemental cube/plane?

I figured it out, someone please delete this pointless dribble.
 
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  • #2
will it be because the internal moments cancel off each other?
 
  • #3
No, the internal moment is actually a resultant of a distributed contiuum of forces acting along the face where the cut is made. So you can effectively get rid of the internal moment by drawing a distribution of the contiuum, as opposed to a resultant normal, shear and moment. Its just looking at the normal, shear and moment in a different light.
 

Related to Understanding Internal Moments in Mechanics of Materials

1. What is shear stress in materials?

Shear stress in materials refers to the force that is parallel to the cross-sectional area of a material, causing it to deform or slide. It is the result of two forces acting in opposite directions along the surface of the material.

2. What causes shear stress in materials?

Shear stress is caused by external forces acting on a material, such as tension, compression, or torsion. It can also be caused by internal forces, such as the weight of the material itself or thermal expansion.

3. How is shear stress measured?

Shear stress is typically measured in units of force per unit area, such as pounds per square inch (psi) or newtons per square meter (N/m^2). It can also be expressed as a ratio, known as the shear stress coefficient, which is the ratio of the shear stress to the normal stress.

4. What is the significance of shear stress in materials?

Shear stress plays a critical role in the strength and stability of materials. It can cause materials to deform or fail, and is an important consideration in the design and engineering of structures and machines.

5. How can shear stress be reduced in materials?

To reduce shear stress in materials, engineers can use techniques such as reinforcement, which adds strength and stiffness to the material, or lubrication, which reduces friction between surfaces. Additionally, proper design and material selection can help to minimize shear stress in a given application.

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