12.5 A tee-shaped flexural member (Fig. P12.5b) is subjected to an internal axial force of 2,200lb, an internal shear force of 1,600 lb, and an internal bending moment of 4,000 lb-ft, as shownin Fig. P12.5a. Determine the normal and shear stresses at point H, which is located 1.5 in.below the top surface of the tee shape. Show these stresses on a stress element.Fig. P12.5aFig. P12.5bSolution Centroid location in ydirection: (reference axis at bottom of tee shape) Shape Width bHeight hArea Aiyi(from bottom)yiAi(in.) (in.) (in.2) (in.) (in.3) top flange 6 1 6.000 6.500 39.000 stem 1 6 6.000 3.000 18.000 12.000 in.257.000 in.33257.0 in.4.750 in.12.0 in.iiiy AyAΣ===Σ(measured upward from bottom edge of stem) Moment of inertia about the zaxis: (i.e., horizontal axis) Shape ICd= yi–yd²AIC+ d²A(in.4) (in.) (in.4) (in.
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