In outline, this problem is the same as the last one. The free-body diagram of the right-hand trap door looks like this:
where we’ve used a unit weight of 124.8 pcf to calculate the pressures and resultant forces associated with the trapezoidal pressure distribution. Taking moments about point A, we get this equilibrium equation:
The solution is F_B = 7987\,\rm{lbs}, which, apart from round-off, is the answer given in the back of the book.
Last modified: January 22, 2009 at 8:32 PM.