A simply supported steel shaft of length L = 37 in is loaded with a uniform distributed load w = 6.5 lbf/in and a point load PA = 350 lbf located at a distance a = 11 in from the left end. Using singularity functions, find the deflections at A and at midspan. Note the percent difference between these two values.

Athin walled concentric tube exchanger is used to cool engine oil from 160°c to 60°c with water that is available at 25°c acting as a coolant. the oil and water flow rates are each at 2 kg/s, and the diameter of the inner tube is 0.5 m and the corresponding value of the overall heat transfer coefficient is 250 w/m2. oc. how long must the heat exchanger be to accomplish the desired cooling? cpwater=4.187 kj/kg-candcpengine el=2.035 kj/kg·°c, oil . 120]