Yes there is 2 ways you can do this strategy. The Famous 1 factory expo into timing push.
First will explain the 1fact openings and time i feel is best for them.
FD (Fake Double)
This build is 12rax//12 gas into 1 factory then produce anywhere from 4 - 7 marines and get tank and 1vulture with mine upgrade and head out. This is an agressive and very safe build if your good with it.
1fact expo (Classic Strategy Still Used a lot)
This build is 11rax//12gas (must wall off) 1factory get tank upgrade siege then start your expo inside your base asap. This is good build vs goon harassment (2 gate range)
Time talk about the build order some.
I will talk about 1 factory expo with siege tanks since it's easier to preform.
9-depot
11-barracks
12-gas
15-2nd depot (after barracks finish, to finish up the wall)
***once get 100 gas pull 2 scvs off gas and put them on minerals.. You will put them back once factory if almost finish 4/5 way done**
16-build factory (sometimes this comes at 17 all depends sometimes)
***make tank and upgrade siege
23-depot
24-CC (this can be at 25 sometimes) You might have stop making tanks for couple secs.
29-Ebay (once this finishes get turrets up asap if don't dt will come almost same time finishes and your doomed or reaver + shuttle.) Try to build no more than 2 - 3 turrets in main and 2 turrets at expo. anymore hurts your economy and unit count mid game.
40- Add Factory + academy (This is safe way..if you scout very well get academy later but if you can't get academy at this time to scan)
50-add 3 more factories. Upgrade mines + siege in 2 factorys that are done and have add-ons.
---Start pumping all vultures till upgrades and 3 new factories complete. Get 1 cycle out the new factories of vultures then head out asap.
You want to head out around 90 PSI on this timing attack. It is strong vs standard safe protoss. If your attack horribly fails then there something totally wrong in your build order. Or you allowed him double expo off 1 gate really early and didn't do anything prevent it (even if he does this you should be able put up a fight still)
If you scout protoss going 1 gate double expo..add 2 facts at 40 psi mark and push out once they finish around 70 psi. If you don't his macro is going be really strong this their vulnerable point. You can also make marines to help aid this attack just need it asap to beat him down or contain him so probes can't xfer and you can kill the expo without units able to come out.
Hopefully this helps your terran gamers out there...
THIS BUILD ORDER DOES WORK...If you get beat down you did not scout or perform this build order right.
This is my best build order that i use all the time. Timing push of it is very strong.
Of course I am a little more advance with this build but gets into too much details for most people to understand. it's basically adjusted for how i play.
Recap build:
9-depot
11-barracks
12-gas
15-depot
16-factory
23-depot
24-cc
29-Ebay
40-2nd fact + academy
50- add 3 more facts. Upgrade Mines + Speed from 2 facts.
90- head out to push