A designer wishes to calculate the thickness of a steel cable for suspending a passenger lift. The total length of the cable supporting the lift when full of passengers is 800 kg.
The designer has decided to incorporate a safety factor of 10 into the lift cable. So the cable must be able to withstand 10 times the load it will actually be exposed to in service before it fails.
The steel selected for the cable has a failure stress of 1050 MN m-2
Using this information, what is the required diameter of the cable.
Assuming that the cable is a single piece of steel, with a circular cross section.
Ignore any effects of the cable weight.
F= m x g
F= down force on the cable.
m= mass expressed in kg
g = 10 ms-2