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allowable bending stress allowable stress angle Appendix applied Assume axial load axial stress beam in Figure braced buckling cable cantilever centroid column compressive stress computed concentrated loads construction cross section curve dead load depth Determine the maximum developed Douglas fir eccentric effects elastic elements equal equation equilibrium Euler equation EXAMPLE extreme fiber factor factor of safety flange flexural stress floor formula frame free-body diagram girder horizontal inertia joint joist KL/r kN-m kN.m kN/m lateral loads length live load magnitude material midspan moments neutral axis parallel axis theorem plane Problems ratio rectangular reinforced concrete resistance result roof rotate self-weight shear force shearing stress shown in Figure simple beam slenderness slope Solution span statics steel beam stiffness strain strength tensile stress tension theorem timber tion truss uniform load vertical wall weak axis wood zero