Durham were frustrated after lunch as Billy Godleman and Matt Critchley added 63 in 17 overs until Steel had Critchley caught behind
for 40 and James Weighell moved one away in the next over to have Godleman taken at first slip.
Porterfield and Ed Joyce put on 41 runs for the third wicket before pacer Zahoor had Porterfield caught behind
That was the first of four wickets in 24 balls for Jarvis, who had Tim Ambrose caught behind
, Keith Barker lbw and Matthew Lamb bowled before both Patel and Stone were dropped during their stand.
The right-hander was then given out, caught behind
on 11 against Ashwin, but managed to overturn the decision on review with replays showing he had missed the ball.
Ed Joyce and Michael Yardy put on 58 in 17 overs but Yardy was bowled for 46, then Rory Hamilton-Brown (10) was well taken above his head by Alex Hales and Luke Wright was caught behind
. Sussex lost their sixth wicket on 249 when Gurney removed Joyce for 59.
Perhaps more telling was the angry swish of the bat from Root to chastise himself when he was caught behind
soon after for a 167-ball innings of 104.
He had Gareth Rees caught behind
off the fifth ball of his sixth over of the morning.
Then the introduction of Broad brought the wickets of Amla and Kallis, caught behind
Yasir Arafat made two quick breakthroughs at the start of the final day to revive their hopes when he had Gareth Rees caught behind
and Will Bragg, playing across the line, leg before in successive overs.
Bangladesh lost Mushfiqur Rahim lbw for 30 to Ishant Sharma and captain Shakib Al Hasan was caught behind
off Zaheer Khan for 34 in the second session, while Shahadat Hossain (8) was stumped by Mahendra Singh Dhoni off Pragyan Ojha.
Chapple claimed the two wickets of Ant Botha, caught at square-leg by Mark Chilton, and Jonathan Trott (one), caught behind
, in an opening 10-over spell which included six maidens and went for just seven runs.
He was caught behind
the wheel in Kent on June 19 and the latest ban means he's now off the road until 2037.