Question
The boards are glued together to form the built-up beam. If the wood has an allowable shear stress of $\tau_{\text {allow }}=3 \mathrm{MPa}$ and the glue seam at $B$ can withstand a maximum shear stress of 1.5 MPa, determine the maximum allowable internal shear $\mathbf{V}$ that can be developed in the beam.
Step 1
The formula for shear stress is given by $\tau = \frac{VQ}{It}$, where $V$ is the internal shear force, $Q$ is the first moment of area, $I$ is the moment of inertia, and $t$ is the thickness of the beam. Show more…
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The boards are glued together to form the built-up beam. If the wood has an allowable shear stress of $\tau_{\text {allow }}=$ $3 \mathrm{MPa}$, and the glue seam at $D$ can withstand a maximum shear stress of $1.5 \mathrm{MPa}$, determine the maximum allowable shear $\mathbf{V}$ that can be developed in the beam.
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