South Africa's players also didn't celebrate the victory as eagerly as they might have despite successive wins over Australia to win the Nelson Mandela Plate.
Morne Steyn kicked 13 points in his 50th test for the Boks, who controlled the entire first half and most of the match. Strauss, starting in place of Bismarck du Plessis, powered over in the 13th minute from a succession of forward drives, and Kirchner cruised in two minutes later in a sweeping backline move from deep in their half as South Africa shrugged off Christian Leali'ifano's seventh-minute penalty.
But in a subdued second 40, and hampered maybe by the sin-binning of lock Flip van der Merwe right on halftime and a later yellow card to No. 8 Duane Vermeulen, South Africa never hit top gear again and the Wallabies won back some respect despite sinking to a sixth straight defeat at Newlands and a fourth loss out of five in the Rugby Championship under struggling new coach Ewen McKenzie.
Australia also had two players sent to the sin-bin.
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South Africa 28 (Adriaan Strauss, Zane Kirchner, Willie le Roux tries; Morne Steyn 2 conversions, 3 penalties), Australia 8 (Chris Feauai-Sautia try; Christian Leali'ifano penalty). HT: 23-3.
-AP