Problem 5.5-6A freight-car axle ABis loaded approximately as shownin the figure, with the forces Prepresenting the car loads (transmitted tothe axle through the axle boxes) and the forces Rrepresenting the railloads (transmitted to the axle through the wheels). The diameter of theaxle is d 5 80 mm, the distance between centers of the rails is L, and the distance between the forces Pand Ris b 5 200 mm. Calculate the maximum bending stress smaxin the axle if P5 47 kN.Solution 5.5-6Freight-car axleSECTION 5.5Normal Stresses in Beams291ddbbAPPRRLBDiameter d 580 mmDistance b 5200 mmLoad P547 kNMmax5PbÊS5pd332MAXIMUM BENDING STRESSSubstitute numerical values:smax532(47 kN)(200 mm)p(80 mm)35187 MPa
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