I have fitted these bare inds into this ralleigh alloy bars, i think they can come handy in windy days or hills, but is it dangerous or hazardous,? will I damage the handlebars.? I know it might sound nerdish ,but beter safe than sorry. thanks for every advice and comment.

I can't see any obvious problems, so long as you can get the bar ends tight enough without crimping your handle bars.

Remember this rule of thumb: "Anything on your bike that fails in front of the bottom bracket will probably result in dental work and plastic surgery."

So if your bars, stem, forks, etc., blow up, they are taking you with them.

yes i know from experience.... thats why i asked, but i dont think there are dents or anything after i fitted them

That's a great (and sobering) rule of thumb.

Apart from the condition of the bars themselves, there's also the fitting to consider (i.e., it's one more thing that will work loose over time and need to be checked periodically). Coming loose and rotating around the bars at the wrong moment would probably equal "failure", for all practical purposes.

They look fine to me. As long as they don't point TOWARDS you, you are fine. I once read about a teenager that reversed a set of aerobars to point towards the rider, so that he could get lower. Bad idea. He wrecked and needed surgery to repair the damage after the bars stabbed his leg. Yucky.

I only use the bar ends when the ride is clear and safe. When I approach intersections or on steep downhills - I'm positioned with my hands on the bars near the brakes and shifters.