Quade was ejected for the third time this season after arguing a call by second-base umpire Paul Emmel regarding Beckham's play at the bag in the second.
The Cubs had runners at first and second with none out against the White Sox when Alfonso Soriano hit a grounder to third baseman Brent Morel. He threw to Beckham, who did not appear to touch the bag when he caught the ball. Beckham threw to first for a double play. Emmel ruled the runner was out at second.
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"It was a feed that was kind of up and away," Beckham said. "I've never turned a double play in my life that I've had my foot on the bag, so why not turn it? It's a judgment call by the umpire, I guess. He felt I hung on long enough, and that's kind of the way I saw it. I didn't really think much of it."
Quade did, and he ran onto the field to argue that Beckham wasn't in the "neighborhood" and was subsequently tossed. He then pointed to home-plate umpire Gary Darling as he left the field.
"First of all, I thought that was taking the old-school neighborhood play too far," Quade said. "It was important. To me, that was a big play. We had three of the same opportunities obviously in the first, second and sixth [innings], and you want to be productive in those situations and we weren't.
"People have to execute on the other side, too, but I thought the throw took the guy way off the bag."
The Cubs grounded into double plays in the first, second and third innings.
Did Emmel say anything to Quade?
"He gave me a chance," Quade said. "I wasn't too happy. That was one of those things -- I was out of the dugout as the play was developing. I don't manufacture stuff and I was mad. Paul's a good umpire, but I thought [Beckham] was way off the bag and that shouldn't be given."
How close is close enough?
"You need to maintain some contact with the bag and I don't think he did whatsoever," Quade said. "Part of it is the throw took him there. If you're cheating with a perfect throw on the bag, that's one thing. I thought the throw took him way inside. I don't think you assume a double play in that situation. That was my vantage point. Double play, and I watched the rest of the game in my office."
Quade also was ejected June 14 by umpire Alfonso Marquez in the ninth inning for arguing balls and strikes and on April 30 in Arizona by Dan Bellino.
"I'm not about getting run out of here," Quade said. "We're 82, 83 games in and that's enough for a while."
The game was broadcast on FOX, and usually there is a segment with the manager. On Saturday, Cubs pitcher Kerry Wood did the segment to promote his Wood Family Foundation.
Marlon Byrd, who was called out at second, said he appreciated Quade standing up for the players.
"He's been supporting us all year long," Byrd said. "He believed in what he saw. Sometimes it brings a fire to the team. It didn't work this time. He had to make sure he was heard, and he was."
Carrie Muskat is a reporter for MLB.com. She writes a blog, Muskat Ramblings, and you can follow her on Twitter@CarrieMuskat. This story was not subject to the approval of Major League Baseball or its clubs.