Mechanics of Materials

aluminum angle of twist applied assuming axes axial load beam and loading bending bending moment bending-moment diagrams C₁ C₂ cantilever beam centroid components considered corresponding couple cross-sectional area deflection of point deformation determine the largest determine the maximum diameter distributed load elastic curve element equal equation exerted expression factor of safety free-body diagram Hooke's law horizontal kips kN·m Knowing length loading of Prob loading shown located M₁ magnitude material maximum normal stress maximum shearing stress maximum stress modulus Mohr's circle moment of inertia neutral axis normal stress obtained P₁ plane stress portion principal stresses R₁ radius reaction rotation shaft shear center shearing force shown in Fig Solve Prob steel strain energy stress at point Substituting tensile Tmax torque U.S. customary units vertical shear write yield strength zero ΕΙ