PHYS 270 Chapter Notes - Chapter 10: Shear Stress, Cylinder Stress, Superposition Principle
Document Summary
When problems involve a structural member subjected to axial, torsional and bending loads, the solution involves the superposition of stresses and strains at a point. Thin hollow cylinder subjected to combined axial, torsional and bending loads. When axial and torsional loads together, don"t add the 2 stress components add the 2 stress states instead. When adding/subtracting, add/subtract same component in each loading: ex. In 10. 1 example of tube, total state of stress at c is xx = axial + 0 = axial. State of stress in individual loadings differs greatly from state of stress at a point in combined loading. Stresses due to (a) axial loading (b) torsional loading : Stresses in combined axial and torsional loading : Combined axial, torsional, and bending loads about z axis. Stresses due to (a) bending about z axis (b) combine axial, torsional and bending about z axis: Sigh convention for internal bending moments and shear force in bending about y axis: