The structure's a pergola. The horizontal member running parallel with the back wall of the house is your beam. The rafters are what are resting on top of the beam (coming perpendicular off the house). Hope that helps!

@Rock Doc: Are you addressing this to me? I haven't actually bought these tiles yet - when I do, I will definitely be going for the handmade ones. They're a work of art and irreplaceable in my opinion. However, there are also screen-printed tiles available in the market in more or less the same patterns; the workmanship is of course different, but you get them cheaper, and they're also more easily available. You could give that a shot. I'd recommend Aakaar Flooring Solutions - they're here on Houzz and are able to provide both the above-mentioned types.

Jeco, Price variations do often confuse a home owners. Going a bit off topic, often we have to politely say no to clients who are looking for a fixed cost on day 1. The design evolves over a period. Pricing is extremely sensitive to location and materials selected. For example there are materials that would start from 60 sft to 1000 sft which can be used for this external construction. Unless that material is specified it is difficult to pindown the price. Having said that it should be in the range of 2-5 lakhs in Bangalore. This idea definitely looks good but have you considered that this is a terrace sit out and design and the requirements of porch are completely different. For example you may not want rain water to fall on the cars underneath ? Thanks, Nitin Cornerstone Designs, Bangalore.

I think what cornerstone means is what have you planned in the nearby areas? what does your client like? what was the initial intention of cladding this in MDF? you can put mirrors, jaali, play with paint. it will depend on what your client likes