The fifth set followed a similar plot line, lasting 27 minutes as Murray won just one point off the American's serve.
The world number one was unable to replicate Konta's success on Centre Court yesterday losing 6-3, 4-6, 7-6, 1-6, 1-6.
The 24th seed rampaged through the final two sets for the loss of two games to make his first Grand Slam semifinal.
"It feels great. I'm going to enjoy this one a little bit tomorrow and have an easy day tomorrow", Querrey said after the match.
It's the second consecutive year Querrey has dethroned the defending champion at Wimbledon; he knocked out Novak Djokovic in the third round last summer. There's obviously an opportunity there. Nevertheless, he might have suspected he would need the protection of that flying start if Querrey ever got his long right arm working - and he did. "I haven't really learned anything [from previous matches]". The second set, I was up 4-3, then got broken twice there.More news: Oklahoma man gets arrested then pops the question
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Murray won the tie-breaker in the third set, but then things took a decidedly strong turn for Querrey as he won the last two sets in dominating fashion.
Defending champion Andy Murray came to Wimbledon with a big cloud over his head, troubled with hip injury and without preparation matches or intense training.
Murray admitted his serve has not been as forceful as past year, when he won his second title at the All England Club. "I managed to get through a bunch of matches but now with the US Open seven weeks away I have to sit down with my team and come up with a plan about what to do next".
"It was much, much better in terms of how I hit the ball - how clean I was hitting it, how aggressive I was able to be on the ball", he said.
Djokovic, who owns a 25-2 career record against Berdych, had a trainer massage his right shoulder during his fourth-round win, so it will be important to see how that part of his body holds up in the quarter-finals.
Murray, 30, was supreme in the first set, carving out the key break for 2-0 and taking the opener on the back of just two unforced errors.
Murray has been more effective on his second serve this year, though, winning 66 per cent of points, up from 61.5 in the early rounds last year and 54.4 in 2013.