Understanding Plane Stress and its Applications

The video tutorial explains plane stress, where all stresses act in the same plane. It covers normal and shear stress, denoted by sigma and tao, respectively. A stress element is introduced to illustrate stress at a point. The tutorial discusses equilibrium in stress elements and the coexistence of normal and shear stress. It highlights the simplification of problems using plane stress, especially in thin-walled pressure vessels like propane tanks, where forces in the z-direction are negligible. The tutorial concludes by summarizing the concept of plane stress.

What is the primary characteristic of plane stress?

• Stresses are only shear stresses

• Stresses are only normal stresses

• All stresses act in the same plane

• All stresses act in different planes

Which symbol is used to denote normal stress?

• Tao

• Beta

• Alpha

• Sigma

What must be added to a stress element to achieve equilibrium?

• Additional normal forces

• Equal but opposite shear forces

• Increased temperature

• Decreased pressure

In a 3D world, which additional direction can stress act upon a stress element?

• Y-direction

• X-direction

• Z-direction

• No additional direction

What type of stress acts around the face of a thin-walled pressure vessel?

• Axial stress

• Hoop stress

• Shear stress

• Normal stress