2. Consider two beams with the thin-walled circular cross-sections shown below, each having radius R and...

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2. Consider two beams with the thin-walled circular cross-sections shown below, each having radius R and wall thickness t, subjected to the horizontal shear forces Sr. Determine the shear flows and locate the shear centers for both cross-sections. (Symmetry arguments may be used to establish shear center coordinates, if appropriate.) Note that the left-hand cross-section is closed, while the right-hand cross-section has a tiny slit at 0=-/2. Assume the elastic and shear moduli are E and G, respectively. Check the solutions to verify that the shear flows are equivalent to the applied loads in both the horizontal and vertical directions. S. x R R x x S 2. Consider two beams with the thin-walled circular cross-sections shown below, each having radius R and wall thickness t, subjected to the horizontal shear forces Sr. Determine the shear flows and locate the shear centers for both cross-sections. (Symmetry arguments may be used to establish shear center coordinates, if appropriate.) Note that the left-hand cross-section is closed, while the right-hand cross-section has a tiny slit at 0=-/2. Assume the elastic and shear moduli are E and G, respectively. Check the solutions to verify that the shear flows are equivalent to the applied loads in both the horizontal and vertical directions. S. x R R x x S