3.3. I-beam cross-section

Try these first

1. 1.

   What shape does an I-beam resemble?

   Hint

   Think of the letter used to represent an ideal beam shape.

2. 2.

   Where is the centroid of a symmetrical I-beam located?

   Hint

   Consider the geometry of symmetry.

3. 3.

   What is the formula for calculating shear stress in an I-beam?

   • τ = V/I
   • τ = VQ / Ib
   • τ = M/I

   Hint

   Recall how shear stress is derived in beam theory.

4. 4.

   True or False: The centroid of an I-beam is always located off-center.

   • True
   • False

   Hint

   Consider the symmetry of an I-beam.

5. 5.

   Given an I-beam with a width of 10 cm and a height of 20 cm, calculate the shear stress at 5 cm from the neutral axis when the shear force is 5000 N.

   Hint

   Identify the correct dimensions and remember to factor in the area above your point.

6. 6.

   Discuss the implications of an I-beam with varying width on its structural application in a construction project.

   Hint

   Reflect on examples of real-world structures that have faced issues due to poor beam design.