A cantilever beam of length $L=2 \mathrm{m}$ supports a load $P=8.0 \mathrm{kN}$ (see figure). The beam is made of wood with cross-sectional dimensions $120 \mathrm{mm} \times 200 \mathrm{mm}$ Calculate the shear stresses due to the load $P$ at points located $25 \mathrm{mm}, 50 \mathrm{mm}, 75 \mathrm{mm},$ and $100 \mathrm{mm}$ from the top surface of the beam. From these results, plot a graph showing the distribution of shear stresses from top to bottom of the beam.
Added by Robert C.
Step 1
First, we need to find the shear force acting on the beam. Since it's a cantilever beam with a single point load at the end, the shear force is equal to the load P. So, the shear force $V = 8.0 \,\text{kN} = 8000 \,\text{N}$. Show more…
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