PHYS 270 Chapter Notes - Chapter 4: Cylinder Stress, Free Body Diagram, Sign Convention

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19 May 2015
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Axial members - long straight bodies on which the forces are applied along the longitudinal axis. Normal stress xx can be replaced by an equivalent internal axial force using an integral over the cross-sectional area. Axial force on a differential area xxda can be integrated over the entire cross section giving us: If normal stress districution xx is to be replaced by an axial force at the origin then the internal moments my and mz must = 0 at the origin giving us: Because both equations represent static equivalency between the normal stress on cross section and internal axial force, they"re independent of the material models. Both equations used to find location at which internal and external forces must act for pure axial problems without bending. To obtain a formula for the relative displacements u2 u1 in terms of internal axial force n: to obtain a formula for the axial stress in terms of the internal axial force n.

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