Bar straightness tolerance varies by diameter, grade, and thermal treatment. The determination of compliance of a bar's straightness to the applicable standard is an easily solved geometry problem. The formula for determining max allowable deviation of straightness for each tolerance class is given above each column on the first page.
The applicable standard requirements are on the second page, taken originally from ASTM A29 Table A1.24 which has now been replaced by ASTM A 108 Table A 1.4. ASTM A 108 Table A1.4 is identical to the material shown in the attached document.