I like the use of the T beam. the inside corners of the T might benefit from being slightly softened. Currently, it's not clearly reading as "HTG" to me - might be best to sketch out different letter sizes, styles, and placements for the H & G to get it to read more clearly. Overall - cool!

OK, thanks for your suggestions. This would be another concept:

Do you think it will work?

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In your second concept, the G in the mark is reading more like a C.

I like your original concept better. I think it works really well actually. Just needs some tweaking. I agree with what's been said already, so just run with that one IMO.

The last one, due to colors and gradient, says "engineer" or "servers", not carpenter. You might want to take more cues from the shapes of carpenters' equipment and materials, if you're going to explore directions that aren't #1.

OK, you've convinced me. The first version is probably the best, not only because it was initiated by the client himself.

I tried to tweak the shapes a little as you suggested. The key problem, however, is that neither H not G is perfectly square. If I stretch H to become wider, it will look odd. What would you do to improve the situation?

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So this doesn't look good... but it's illustrating what I meant in my first comment, about trying to make the T read more like a T. I'd play with this arrangement using hand-drawn letters before getting into font territory.