It was a terrific effort by Chandimal, who stitched some crucial partnerships with the middle order to give the home side the edge after a disappointing batting performance in the first test that they lost by ten wickets.
Chandimal shared a useful 67-run sixth wicket stand with Dhananjaya De Silva (32) and another association of 51 runs with Dilruwan Perera (48) as the tourists had their lower-order batsmen to thank for the total.
Dinesh Chandimal, who was part of the Sri Lanka squad during the Test series against New Zealand but did not get a chance to play a game, has been retained in the squad for the series against the Men in Green.
Dimuth Karunaratne will lead the Lankans, however, the 22-member squad will later cut short to 15 men before the series begins.
Dananjaya was suspended from bowling after being reported during the first Test against England last year in November and subsequently underwent an independent assessment of his bowling action.
Chandimal's omission follows scores of 5, 0, 15, and 4 in the two recent Test losses against Australia.
Starc, who was voted player of the match for his second career 10-wicket haul in tests, was supported by Pat Cummins, who took 3-15.
Starc claimed his 10th five-wicket haul in tests by taking the final two Sri Lanka wickets in his first over after lunch.
Perera was to undergo a mandatory concussion test after he was unable to continue batting at Canberra's Manuka Oval.
Earlier, Kurtis Patterson became Australia's third century-maker of its first innings, scoring an unbeaten 114.
After years of lobbying, Canberra will host its first Test match as Manuka Oval becomes Australia's 11th Test venue.
Chandimal strained his groin during the first Test in Galle which Sri Lanka lost by 211 runs inside four days on Friday.
The former Sri Lanka skipper is retiring from all forms of cricket in Galle after this first test of three.
The reason cited by the authorities is that Mathews was deemed 'unfit' to play the game at the highest level and hence dropped from the side.
Sri Lanka suffered a humiliating exit from the Asia Cup as they were ousted in the group stage itself, succumbing to embarrassing losses to Bangladesh and Afghanistan.
Sri Lanka are slated to play their opening match of the Asia Cup against Afghanistan on September 17.
Sri Lanka Cricket left out veteran Lasith Malinga from the sole T20I, once again clouding his future as to when he would ever don the national jersey once again.
Furthermore, six demerit points each have been added to the disciplinary records of Chandimal, Hathurusinghe and Gurusinha.
Sri Lanka sports minister Faiszer Mustapha, under whose oversight SLC is temporarily functioning, said the ICC sanctions alone would be sufficient.
Meanwhile, Chandimal faces a lengthy ban after having admitted to the more serious Level three offence which relates to 'conduct that is contrary to the spirit of the game.'
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