Mechanics of Materials

A₁ angle anticlockwise axes axial axis B.M. diagram bending C₁ C₂ cantilever centroid column compressive stress conjugate beam cos² cross-section d₁ deformation Determine diameter direction distance e₁ elastic limit equation Example Find free end Hence horizontal inertia kN-m kN/m kN/m² length linear M₁ M₂ material maximum shear stress mm² Mmax modulus Mohr's circle moment of inertia N-mm N/mm² N/mm² tensile normal stress P₁ P₂ parabolic parallel axis theorem perpendicular point load positive principal planes principal strains principal stresses R₁ reaction real beam shaft shear force shear strain shown in Fig simply supported beam sin² slope Solution span statically statically indeterminate steel strain energy stress system Taking moments tensile stress tension torque vertical zero ΕΙ πα σ₁