5.1. Bending Equation

Try these first

1. 1.

   What is the bending moment?

   Hint

   Think about what happens when you apply force to a beam.

2. 2.

   Define the moment of inertia.

   Hint

   Consider how cross-section shape affects bending.

3. 3.

   What does the bending moment represent?

   • It causes compression
   • It results in twisting
   • It causes bending

   Hint

   Think about how forces cause beams to deform.

4. 4.

   True or False: The neutral axis is the line where bending stress is maximum.

   • True
   • False

   Hint

   Remember the definition of the neutral axis.

5. 5.

   A beam has a triangular loading on its length. Calculate the maximum bending stress if the beam supports a maximum bending moment of 1500 in-lb.

   Hint

   Remember you may need to calculate the moment of inertia first depending on the shape.

6. 6.

   Two beams with different moments of inertia are subjected to the same bending moment. Discuss how the bending stress varies between them.

   Hint

   Use the bending stress equation and compare the values.