Low Shutter Speeds, without Tripod
There are times when you need to take a shot at low shutter speeds without a tripod. By hit and trial I have found that I manage stable shots upto shutter speed of 15 (or 1/15th of a second). At shutter speeds lower than that, I invariably get some jitter.
Here is a way to deal with the problem:
Place the strap around your neck, extend it till it is taut (see figure above). Place arms as close to body as possible. To get additional stability, use the timer mechanism.
In such a situation, the camera movement is restricted by your arms as well as by the strap. By curtailing the camera's degrees of freedom, I am now able to take stable shots at shutter speeds as low as 4 (or 1/4th of a second). Needless to say, this works best with cameras that have an external LCD display.
Try it out and let me know what is the lowest shutter speed you manage.
PS: Light Sensitive updated once again.
PPS: In response to Chandra's comments, I would suggest you keep a stopgap tripod arrangement in your camera case. All you require are two sufficiently long pieces of nylon string. These can be tied to the strap hook of your camera. Once they are fixed on the camera, place the string under your feet such that the whole arrangement is taut. You should have a configuration as shown below:
While this won't give you the stability of a tripod, it will go a long way in eliminating jitter. Best of all, this stopgap arrangement is so light and small that you can carry it in your camera case.
Chandra, hope this helps you in your quest for jitter-free photographs! :-)