4. Visualizing results

Try these first

1. 1.

   Define principal planes in solid mechanics.

   Hint

   Think of the stress components at those planes.

2. 2.

   What is a cuboid used for in our context?

   Hint

   Consider its shape and three-dimensional nature.

3. 3.

   What are principal planes?

   • Planes where shear is maximum
   • Planes where shear is zero
   • None of the above

   Hint

   Look at the definition terms in the glossary.

4. 4.

   True or False: The shear component of traction is always zero at principal planes.

   • True
   • False

   Hint

   Consider what characterizes a principal plane.

5. 5.

   Given a beam with principal stresses of 250 MPa and 150 MPa, calculate the maximum shear stress on planes at 45 degrees.

   Hint

   Use the formula for calculating maximum shear given principal stresses.

6. 6.

   Discuss and visualize how changing the angle of a structural element affects its shear response.

   Hint

   Consider how shifting orientation impacts the overall mechanics.