So then the fitting on the back of the pump should look like this. Is the fittng on the pump tight as well as the line going into it?
See that fitting that George is holding? That is just an adapter that allows the type of hose you are using to be connected to the actual high pressure fitting which is underneath the adapter - if one is used. The actual pump outlet port is behind the wall of the reservoir. The high pressure fitting penetrates the pump casing and screws into the ID of the discharge port. Either way, whether the hose is just threaded directly into the discharge port bushing - or if an adapter is required because of differences in the hose and discharge port, there is another common point of leakage that is easily mistaken as leakage at the hose to adapter joint.
There is an o-ring used to seal the joint between the high pressure fitting and the pump's discharge port. The way the outlet port/pump casing/high pressure fitting are assembled is tricky. But, if that o-ring gets tired after years of service, it will start to leak. High pressure hydraulic fluid will flow out of the pump casing from behind the high pressure fitting. And, because it is so close to the hose connection, the hose connection often gets blamed.
This shows the o-ring on the high pressure fitting:
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Simplified drawings provided by GM that show the components involved and where leakage most often occurs:
Old style:
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1980 and up:
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Note how every one of these PSP's has that same hex-shape fitting for the pump discharge. That is a common feature of all Saginaw power steering pumps - under that hex nut is where the o-ring is:
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I know firsthand how difficult it is to get a good view of what is going on behind the PSP - it's nearly impossible with the engine running. So, could it be possible that the leakage is actually from the casing o-ring - and not from the hose threads.