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allowable bending stress allowable stress analysis 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 given horizontal inertia joint joist kN-m kN.m kN/m lateral loads length live load magnitude material midspan moments neutral axis plane Problems ratio rectangular reinforced concrete resistance result roof rotate self-weight shear center 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