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acting allowable analysis applied Assume axial axis beam bending calculated called caused circle column common compressive compressive stress concept Consider constant critical cross section cyclic cylindrical deflection deformation depends Determine diagram diameter direction distance distribution ductile effects elastic element equal equations equilibrium Example external failure Figure force fracture gage given important increase internal largest length load magnitude material maximum means measured mechanical metal modulus moment normal stress Note obtained original plane plastic plate plot pole position possible practical pressure problems properties reasonable shaft shear stress shown in Fig shows simple Solution specimen steel strain strength stress-strain curve supported temperature tensile tension thickness torque values vertical weight weld wire yield zero