Cody Ross' three-run homer gave him four in Grapefruit League play this spring. (AP)

FORT MYERS, Fla. -- Cody Ross continued his hot spring by clubbing a mammoth three-run homer over the Green Monster replica at JetBlue Park, helping the Red Sox to an 8-0 victory over the Rays on Tuesday afternoon.

Ross is hitting .342 in Grapefruit League competition.

Josh Beckett fired five shutout innings, throwing 84 pitches. The righty walked three and struck out five.

"When you're throwing this many pitches, 85 to 100, your competitive stuff kind of takes," said Beckett. "You're trying to get guys out and not let people score. I think the mental aspect of the game is a little bit different than when you're going three innings. Maybe then, you tend to really work on one individual pitch."

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With Rays righty James Shields staying in Port Charlotte and pitching in a Minor League game, Fernando Rodney started and fired one scoreless inning.

Jake McGee reeled off two innings for Tampa Bay, allowing three hits and a run.

For Boston, Dustin Pedroia smoked an RBI triple and David Ortiz helped start a rally by drilling a double down the line in right.

Red Sox Up Next: The Red Sox have an off-day on Wednesday, but several pitchers will get work in at the Minor League complex, including Clay Buchholz, Aaron Cook, Vicente Padilla and Andrew Bailey. Boston returns to action on Thursday with a 1:35 p.m. ET home game against the Blue Jays. Alfredo Aceves will start in what could be his final audition to win a rotation spot.