Elements of Strength of Materials

angle of twist assumed axial becomes bending moment diagram bending stress built-in C₁ cantilever beam centroid circular cross-section column compressive stress concrete condition consider corresponding cross-sectional area curve deformation diameter direction elastic line element elongation equal equation EXAMPLE factor of safety fiber flange formula fracture free end ft long Hooke's law increase inertia loaded as shown magnitude material maximum bending maximum shear stress maximum stress Mohr's circle moment of inertia neutral axis normal stress obtain P₁ pin-ended plane plastic principal stresses prismatic PROBLEMS proportional limit pure bending radius ratio rectangular cross-section represents rivet rotation section mn section modulus shaft shear force shown in Fig simple beam SOLUTION specimen statically indeterminate steel strain energy Strength of Materials stress concentration structure tangent temperature tensile stress tensile test Tmax torque torsion tube uniform unit length y₁ yield point zero ΕΙ