2.2. Body force contribution

Try these first

1. 1.

   Define body force.

   Hint

   Think about forces that act from within the material.

2. 2.

   What is the purpose of integrating body force?

   Hint

   Remember how we calculate total quantities in calculus.

3. 3.

   What is a body force?

   • A force acting at a point
   • A force acting over a volume
   • A constant force

   Hint

   Think about how gravity acts on an object.

4. 4.

   True or False: Body forces only include gravitational force.

   • True
   • False

   Hint

   Consider different contexts where forces act on materials.

5. 5.

   If a cuboid has varying body forces represented by b(x) = 10 - 2x, where x is the length from one end, calculate the total body force acting on it over a length of 5 units.

   Hint

   Set up the integral properly, then calculate it step by step.

6. 6.

   Discuss the implications on structural design if a major body force, like wind exerted on a tall building, is not accounted for during modeling. How might it affect the overall stability?

   Hint

   Think about why strong structures are built to withstand environmental forces.