This is a common problem in the non-widescreen Thinkpads T60/T60p, where the internal magnesium frame has a weak point near the left hinge. Almost all produced laptops get the link between the left hinge base and middle part of sub-frame broken in a few years (depending on how frequently display lid is being opened/closed). Some of them brake near the VGA port (earlier revisions of sub-frames) while others brake near the hinge (as mine did). Besides, considerable free play in left hinge is going to brake bottom case. I didn't find any reliable solution to this problem over the internet, so I've decided to find out it by myself.
I've disassembled my T60p (took off palm rest, keyboard, keyboard bezel and display with cover). Thoroughly inspected broken point, figured out that glueing and cold welding is not an option at all, and decided to make a rigid metallic link from the left hinge base part of sub-frame to the part of sub-frame near the VGA port. I took tin plate with less than 1mm thickness, filed it to the necessary size and shape, then drilled two holes for standard M2 bolts and placed it over the existing holes in the sub-frame. Additionally I've used two nuts for M2 bolts from my previous laptops' repairs. The left hinge base part of sub-frame should also be filed over a little to make less than millimeter additional space for the tin plate.
Step-by-step photo-manual is here below:Full size pic:http://www.technosphere.in.ua/diff/ibm/t60p-hinge/1.jpgFull size pic:http://www.technosphere.in.ua/diff/ibm/t60p-hinge/2.jpgFull size pic:http://www.technosphere.in.ua/diff/ibm/t60p-hinge/3.jpgFull size pic:http://www.technosphere.in.ua/diff/ibm/t60p-hinge/4.jpgFull size pic:http://www.technosphere.in.ua/diff/ibm/t60p-hinge/5.jpgFull size pic:http://www.technosphere.in.ua/diff/ibm/t60p-hinge/6.jpgFull size pic:http://www.technosphere.in.ua/diff/ibm/t60p-hinge/7.jpgFull size pic:http://www.technosphere.in.ua/diff/ibm/t60p-hinge/8.jpg
As a result: the dangerous free play of display assembly was completely eliminated.
P.S.The width of tin plate should be ~3mm less than shown on the photos. This will ensure precise fit of keyboard bezel above. The version of mine left 0,5mm gap between keyboard bezel and side of base cover.
P.P.S. I recommend to use the possibility and make maintenance of the cooling system (to clean from dust and change thermal paste). Temperatures of CPU and GPU will have been set 10-20 degrees lower.
Hope this small "HOWTO" helps someone.