5.2.1. qdx; Parabola

Try these first

1. 1.

   What shape does a cable take under uniform distributed loads?

   Hint

   Think about the curve formed under the load.

2. 2.

   Where does the maximum tension occur in a cable?

   Hint

   Consider the points where the cable is anchored.

3. 3.

   What type of load causes a cable to take on a parabolic shape?

   • Point load
   • Uniform distributed load
   • Variable load

   Hint

   Recall the definition of a distributed load.

4. 4.

   The maximum tension in a parabolic cable occurs:

   • True
   • False

   Hint

   Consider where the cable experiences the greatest force.

5. 5.

   A cable is 20m long and is subjected to a uniform load of 400 N/m. Calculate and graph the shape of the cable under this load.

   Hint

   Use the equation derived for parabolic shape.

6. 6.

   An engineer needs to design a cable system for a 100m long bridge experiencing a distributed load of 1000 N/m. Discuss the implications of the cable's parabolic shape on the structure's stability and design.

   Hint

   Think about the balance between material selection, weight, and design considerations.