The Royals dominated for large periods of the game and Blades goalkeeper Steve Simonsen had to make several fine saves before he was finally beaten by Shane Long in the 81st minute, but seven minutes later Andy Griffin brought down Daniel Bogdanovic in the area and the substitute got up to convert the resulting penalty.
Adams said: "We got a lucky point. Reading were the better team.
"At times we couldn't cope with their shape and had to change ours to combat it, but we've played a lot better than that and lost so maybe our luck is turning.
"I thought Simmo (Simonsen) kept us in the game first half and his saves in the second half were crucial.
"It's something to build on. On Saturday we were disappointed that we've not get the three points and we're happy to get a point, so it's a platform."