Strange shot 4-under 68 and Wood 3-under 69.
Hansen lost a chance to make it a three-way tie, but double-bogeyed the 18th and final hole.
"I played a bit scrappy today," Strange said. "I got the ball on the greens and made some putts, which was good."
Strange, who is trying to win a second time this season, made six birdies and two bogeys Friday.
"It was a bit of a battle, but I'll take another 18 holes without a bogey," the 21-year-old Wood said.
Wood has made 15 of 19 cuts with seven Top-25 finishes this season.
'Happy' fan videos make Pharrell cry [VIDEO]
Pregnant Mila Kunis wins 'Best Villain' at MTV Movie Awards