OK, John. Don't panic. I think the fix is simple.
Remove the lens, look at the camera body lens mount, at 9 o'clock position. There is a little black lever (tip of arrow in photo below). Let's call it the actuator (I'm not sure that's the official name). It is normally in the "down" position.
Activate the DOF review (the power switch around the shutter release button). Normally you should see the actuator moving up and down. In your case, it probably doesn't. (Note that for newer DSLRs, e.g. K7, this actuator normally does not move if there is no lens attached to the body).
Use a pointy object (a tip of a test probe, or a tip of a ballpoint pen), try to push the actuator up gently. Normally you should feel the resistance of a spring. In your case, there is probably no resistance at all.
What happens is that there is a spring attached to the lower end of the actuator, pulling the actuator down (thus opening up the lens's aperture). In your case, for some reason, the spring has detached from the actuator.
To re-attach the spring, activate the DOF review to expose the upper end of the spring, then use a tip of a test probe (or a good pair of tweezers or a metal paper clip) to push the end of the spring up and to convince the spring to hook onto the little protrusion at the lower end of the actuator. Make sure NOT to use anything that can break - you don't want another problem
Don't curse at Pentax engineers for the "lousy" job of designing this mechanism. I think it's a good design. When the lens's aperture mechanism gets stuck, something's got to give. It is easier and less costly to re-hook the spring than to replace a broken part.
Good luck, and please post back.