Solved: The simply supported joist is used in the construction of a floor for a

Chapter 11, Problem 11-25

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The simply supported joist is used in the construction of a floor for a building. In order to keep the floor low with respect to the sill beams C and D, the ends of the joists are notched as shown. If the allowable shear stress for the wood is \(\tau_{\text {allow }}=350\) psi and the allowable bending stress is \(\sigma_{\text {allow }}=1700\) psi, determine the smallest height h so that the beam will support a load of P = 600 lb. Also, will the entire joist safely support the load? Neglect the stress concentration at the notch.