(Solved): A 13.2-ft-long simply supported timber beam carries a 10.6-kip concentrated l ...

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A 13.2-ft-long simply supported timber beam carries a 10.6-kip concentrated load at midspan. The cross-sectional dimensions of the timber are shown in the second figure. Assume \( L=6.6 \) \( \mathrm{ft}, x=2.8 \mathrm{ft}, a=2.9 \) in., \( b=7 \) in., \( c=1.4 \) in, and \( d=16 \mathrm{in} \). (a) At section \( a-a \), determine the magnitude of the shear stress \( \tau_{H} \) in the beam at point \( \mathrm{H} \). (b) At section \( a-a \), determine the magnitude of the shear stress \( \tau_{k} \) in the beam at point \( K \). (c) Determine the maximum horizontal shear stress \( \tau_{\max } \) that occurs in the beam at any location within the 13.2-ft span length. (d) Determine the maximum tension bending stress \( \sigma_{\max } \) that occurs in the beam at any location within the 13.2-ft span length.