Building mining rigs specifically for Bitcoin is not profitable anymore. What you can do though is build a mining rig that mines alt coins. Alternative coins are just like Bitcoin, in the sense that they too use a blockchain.
People are making a lot of money right now mining Ethereum. Ive personally built 4 different mining rigs, and Im seeing an income stream of around $2000 a month.
Building an Ethereum mining rig isnt that difficult. You are simply building a computer (which is very easy to do if you watch a few videos) that consists of 57 GPUs (Video Cards).
The GPUs are the most important part of the rig. Using special mining software, the GPUs calculate mathematical algorithms, and are rewarded for each block with a little bit of the coin that they are working on.
Another important part of the rig is the motherboard. The motherboard has to be able to house 57 GPUs. To plug in the GPUs, youll need PCI Risers.
Right now, a lot of GPUs and motherboards are sold out ever since people discovered how profitable mining can be.