5.1. Total Stress Equation

Try these first

1. 1.

   What does P represent in the total stress equation?

   Hint

   It is the force acting along the length of the column.

2. 2.

   Define eccentric loading in terms of structural columns.

   Hint

   Think about where the load is applied in relation to the center of the column.

3. 3.

   What does the total stress equation account for?

   • Only axial load
   • Axial and eccentric loads
   • Eccentric load only

   Hint

   Recall the components of the stress equation.

4. 4.

   True or False: Eccentric loading only influences axial stress.

   • True
   • False

   Hint

   Consider what eccentricity adds to the analysis.

5. 5.

   A column that is 3m tall has a moment of inertia of 0.0003 m⁴ and an applied load of 15,000 N with a 0.2 m eccentricity. Calculate the total stress in the column.

   Hint

   Remember to find A using the total height and assume a circular cross-section.

6. 6.

   Discuss the implications of not considering eccentric loading in a column design. What could happen?

   Hint

   Consider real-life structural failures and their causes.