June 28 (Reuters) - Gold prices were nearly flat on Tuesday, as recent gains in Treasury yields prevented any significant interest in bullion. * The U.S. dollar struggled against its major rivals on Monday as softening inflation expectations prompted a reassessment of the prospects for aggressive interest rate hikes but volatile markets cushioned a broader decline. [US/] * New orders for U.S.-made capital goods and shipments increased solidly in May, pointing to sustained strength in business spending on equipment in the second quarter, but rising interest rates and tighter financial conditions could slow momentum.