in this instructable I'll show you how to repair the Base of the hinge in the Lenovo Thinkpad E540 Laptop (or any laptop)
I don't like the Glueing Method because it does not last long, So I will use Radek's method which Requires using Belt Screws!

Step 1: The Tools That You Will Need Are:

1) Two Belt Screws, Dimensions:

Head(Dome) Diameter:10mm
Pole Thickness: 4mm
Pole Length: 6.5mm
Buy them here: Amazon / Banggood / Aliexpress

2) Epoxy Glue ( Using it as a filler to strengthen the base not for glueing the hinge )

3) Drill

4) 4 Millimeters drill bit (5/32")

5) Tweezers (optional)

Step 2: The Steps:

1- Remove the broken Base Nuts, Broken Plastic and remove any Oil residue from the base of the hinge.

2- Mix Two Equal Portions of the Epoxy Glue, and then Apply the Glue on the Broken Screw Holes (the purpose of the Glue is only to strengthen the plastic base) , and then leave the laptop for 12-24 hours so that the Glue fully cures

3- after 24 Hours, temporarily install the screen, and then get a marker and mark the screw holes of the hinge.

4- Drill the Marked Spots with the 4 Millimeters Drill Bit (5/32 in.)

5- insert the Rivets through the Drilled Holes and then install the screen and Tighten the Screws.
6- Oil the Hinges to reduce the Load on the plastic Base of the Laptop

7- Assemble the Laptop, Done!

Step 3: My Feedback on This Method After 6 Months of Usage:

I repaired my laptop 6 months ago using the Belt screws method, and I'm quite impressed of how rigid the hinges became, I HIGHLY Recommend it.

and if you have an Acer, Dell, HP.... Then Check out Radeks's Video

Good Luck.