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Quiz1 Solution

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45 views4 pages

Quiz1 Solution

Uploaded by

gnsvaravishwas28
Copyright
© © All Rights Reserved
We take content rights seriously. If you suspect this is your content, claim it here.
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A uniform cantilever of arbitrary cross-section and length L has section properties Ixx, Iyy and

Ixy with respect to the centroidal axes shown in Fig. P.16.14. It is loaded in the vertical (yz) plane
with a uniformly distributed load of intensity (w/unit length). The tip of the beam is hinged to a
horizontal link which allows it to move in the vertical direction only. Beam is also fixed at point
C (x=y = z = 0)

Assume that the link is rigid, and that there are no twisting effects:

(a) Write the expressions for moment (Mx, My) in terms of loads, at a section between (z=0, z=
L).

b) Write the boundary conditions (BC) for displacement & slope, at both ends of beam.

b) Find the expression for horizontal deflection (u) in terms of loads. Use this expression & apply
BC, to find the force in the link;

(b) Find the vertical deflection of the tip of the beam


For vertical deflection:

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