A uniform cantilever of arbitrary cross section and length L has section properties I, I, and I, with respect to the centroidal axes shown (Fig. P.13.14). It is loaded in the vertical plane by a tip load W. The tip of the beam is hinged to a horizontal link which constrains it to move in the vertical direction only (provided that the actual deflections are small). Assuming that the

Structural Analysis
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Chapter2: Loads On Structures
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A uniform cantilever of arbitrary cross section and length L has section properties I, I, and I,
with respect to the centroidal axes shown (Fig. P.13.14). It is loaded in the vertical plane by a tip
load W. The tip of the beam is hinged to a horizontal link which constrains it to move in the
vertical direction only (provided that the actual deflections are small). Assuming that the
Problems
417
link is rigid and that there are no twisting effects, calculate the force in the link and the deflection of
the tip of the beam.
Ans. WI„/I, (compression if I, is positive), WL°/3EI, (downwards).
Transcribed Image Text:A uniform cantilever of arbitrary cross section and length L has section properties I, I, and I, with respect to the centroidal axes shown (Fig. P.13.14). It is loaded in the vertical plane by a tip load W. The tip of the beam is hinged to a horizontal link which constrains it to move in the vertical direction only (provided that the actual deflections are small). Assuming that the Problems 417 link is rigid and that there are no twisting effects, calculate the force in the link and the deflection of the tip of the beam. Ans. WI„/I, (compression if I, is positive), WL°/3EI, (downwards).
FIGURE P.13.14
Transcribed Image Text:FIGURE P.13.14
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