For the wire form shown, use Castigliano's method to determine the deflec- tion of point A in the y direction. Consider the effects of bending and torsion only. Use the straight beam formulation for the bending energy. The wire is steel with E 200 GPa, v=0.29, and has a diameter of 5 mm. Before appli- cation of the 200-N force the wire form is in the xz plane where the radius R is 100 mm.

For the wire form shown, use Castigliano's method to determine the deflec- tion of point A in the y direction. Consider the effects of bending and torsion only. Use the straight beam formulation for the bending energy. The wire is steel with E 200 GPa, v=0.29, and has a diameter of 5 mm. Before appli- cation of the 200-N force the wire form is in the xz plane where the radius R is 100 mm.

Elements Of Electromagnetics

7th Edition

ISBN:9780190698614

Author:Sadiku, Matthew N. O.

Publisher:Sadiku, Matthew N. O.

ChapterMA: Math Assessment

Section: Chapter Questions

Problem 1.1MA

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Concept explainers

Slope and Deflection

The slope in a deflected beam is described as an angle in radians made by the tangent of the section with the original axis of the beam. The deflection at any point on the axis of the beam is defined as the lateral displacement of the point before and after loading.

Question

For the wire form shown, use Castigliano's method to determine the deflec-
tion of point A in the y direction. Consider the effects of bending and torsion
only. Use the straight beam formulation for the bending energy. The wire is
steel with E 200 GPa, v = 0.29, and has a diameter of 5 mm. Before
cation of the 200-N force the wire form is in the xz plane
100 mm.
=
appli-
where the radius R is

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