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allowable bending stress allowable stress aluminum axial load beam of Fig C₁ cantilever beam carries a uniformly centroid column concentrated load cross-sectional area cylinder deformation Determine the maximum diameter distance elastic curve evaluate factor of safety fibers fillet flexure theory free body freely supported I-beam Illustrative Example lbs./ft length loaded body located longitudinal shear stress M/EI diagram M₁ material maximum bending stress maximum deflection maximum normal stress maximum shear stress mid-span modulus of elasticity Mohr's circle moment of inertia neutral axis plane of loading plate principal stresses product of inertia psi compression psi tension R₁ R₂ radius radius of gyration range of loading resultant right section rivets section A-A shear center shown in Fig slope statically indeterminate steel strain energy supporting forces tensile stress torsional shear stress uniformly distributed load unit stress vertical wall yield point zero ΕΙ