This question is a straightforward application of the stress intensity approach to assessing fracture. It requires assumptions regarding self-weight loading. It should take about 15 minutes to complete.
A noted philanthropist offers you the chance to earn £ 50 000 by simply hanging from a rope for just one minute. The rope is attached to a sheet of glass which is 300 cm long by 10 cm wide and 0.127 cm thick.
Complicating the situation are:
The glass sheet contains a central crack with a length of 1.62 cm that is orientated parallel to the ground and perpendicular to the longest side of the glass sheet. The fracture toughness of the glass is known to be 0.83 MPa m1/2.
The rope is suspended over a deep pit containing rather annoyed green mamba snakes.
Would you try for the pot of gold at the end of the rainbow?
The stress intensity factor for a through-thickness crack is given by:
where: