Stresses and displacements# This chapter includes the following topics: Model Normal stress-strain relations Shear stress-strain diagram Fibre model Small rotations bar element Cross-sectional properties Static moment, centroid and normal force centre Second moment of area and Section modulus Polar moment of inertia Torsional moment of inertia thin-walled tubes Shear force centre Core of a cross-section Strain diagram … for extension … for bending … for torsion Constitutive relations … for extension … for bending … for torsion … for temperature influences Solve stresses in an extension element Normal stresses Solve stresses in a bending element Normal stresses Shear stresses Solve stresses in a torsional element … in a thin-walled circular cross-section … in solid circular bars and thick-walled circular tubes … in a closed thin-walled non-circular cross-section … in open thin-walled cross-sections … for various cross-sections in combination with shear force
