https://en.wikipedia.org/wiki/Machinery%27s_Handbook
Edit:
And a step further back would be Foundations of Mechanical Accuracy, by Moore. That book is a marvel of applied reason.
https://mitpress.mit.edu/books/foundations-mechanical-accura...
The reprinted-under-many names book from Germany in the 70s? called variously:
"How Things Work", "The Way Things Work", and more
and published by Simon & Schuster, Paladin Press, and others
Searching for C Van Amerongen will bring it up, although I think it is by multiple authors.
https://archive.org/search.php?query=C%20Van%20Amerongen
I like it so much I have many copies of it both soft and hardcover.
How did punch card readers work before optical reading was possible? They've got you covered. Want to know how tank gun stabilization works? Also covered. It really has everything.
Your name confusion is understandable, as "How Things Work" was a popular book title - I had at least two books by that name concurrently with my ownership with "The Way Things Work", and I too was always getting them confused.
Personally, I would probably bring the equivalent book on bicycles, which I speculate would be the vehicle of choice for the end of the world. If anyone knows the name of such a book, I would be happy to hear it!
> thorough text covering not just cars, but their constituent parts--and their constituent parts' constituent parts--all the way down to the materials. It has wonderful tables of data on the properties of various materials (from advanced plastics and alloys to leather, paper, and common fluids) accompanied by clear and precise mechanical diagrams
A harder challenge would be stripping out all the ECUs, computers and security crap to make things "just work" again.
All civilisations have been able to maintain their technology, but I think we are in an unusual and tremendously precarious point in history in the early 21st century. It seems far more likely that a loss of control over our technology will cause an apocalypse than that an apocalypse will cause us to lose technology.
You could also drive things directly using a modified bicycle - see the Bicimáquinas-project from Guatemala: http://www.mayapedal.org/index.en
Being from before the internet, one of the characters collects a whole range of books for topics such as tools, engineering, farming etc.
I really wonder how practical this is though. The bicycle, for example, dates back to da Vinci, but we only became good enough at manufacturing to make the precise parts needed by the 19th century. having the diagrams is all well and good but we will also have lost the means of manufacturing reliably and that is going to be pretty tough to replicate.
All of which benefits from any type of work producing engine, since the core leap you need to make is to get away from being solely dependent on human labour as a power source.
Pretty sure it covers modern cars fairly well.