31.1. Theory

Try these first

1. 1.

   Define 'deformation' in terms of cable mechanics.

   Hint

   Think about the change in the cable's length or shape.

2. 2.

   What is the horizontal force (H) in a cable system?

   Hint

   Consider what remains constant when there are no horizontal loads.

3. 3.

   What is the horizontal force H in a cable system?

   • It changes with load
   • It remains constant
   • It is always zero

   Hint

   Think about the forces involved when there are no horizontal loads.

4. 4.

   True or False: The shape of a cable under uniform load is always linear.

   • True
   • False

   Hint

   Recall the equations and their implications on cable shape.

5. 5.

   A cable supports a uniform load of 10 kN/m over a span of 100 meters. Calculate the maximum tension in the cable given a sag of 4 meters.

   Hint

   First, find the horizontal force, then use it to calculate vertical and total tension.

6. 6.

   If the sag of the cable is doubled while the same load is applied, what happens to the horizontal force? Discuss its implications.

   Hint

   Reflect on how changes in sag affect redesigning cable systems.