a Uniform cantilever of arbitrary crosssection Problem 3 A u

a Uniform cantilever of arbitrary cross-section

Problem 3: A uniform cantilever of arbitrary cross-section and length l has section properties Ixx, Iyy, and Ixy with respect to the centroidal axes shown below. It is loaded in the vertical plane (yz) with a uniformly distributed load of intensity w/unit length. 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 link is rigid, and that there are no twisting effects, calculate: a. The force in the link b. The deflection of the tip of the beam. Cantilever this END w/unit length

Solution

from the problem ,beam is cantilever with udl

so there is no deflection and no shear force (internal force)

no force act on the link and also no deflection

a) 0

b) 0

a Uniform cantilever of arbitrary cross-section Problem 3: A uniform cantilever of arbitrary cross-section and length l has section properties Ixx, Iyy, and Ixy

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