The figure shows a stepped steel shaft supported in bearings at A, C and loaded by a 2 kN force at B. Use Castigliano's second theorem to find the angular misalignment at the bearings (i.e. the local slope of the beam) due to the shaft deflection. For steel, E = 210 GPa. [You may assume that the second moment of area of a shaft is I = Td¹/64, where d is the diameter of the shaft.] 25 mm 200 mm 2 kN 15 mm 30 mm 200 mm

The figure shows a stepped steel shaft supported in bearings at A, C and loaded by a 2 kN force at B. Use Castigliano's second theorem to find the angular misalignment at the bearings (i.e. the local slope of the beam) due to the shaft deflection. For steel, E = 210 GPa. [You may assume that the second moment of area of a shaft is I = Td¹/64, where d is the diameter of the shaft.] 25 mm 200 mm 2 kN 15 mm 30 mm 200 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

The figure shows a stepped steel shaft supported in bearings at A, C and
loaded by a 2 kN force at B. Use Castigliano's second theorem to find the
angular misalignment at the bearings (i.e. the local slope of the beam) due
to the shaft deflection. For steel, E 210 GPa. [You may assume that the
second moment of area of a shaft is I = Td¹/64, where d is the diameter of
the shaft.]
=
25 mm
200 mm
B
2 kN
15 mm
30 mm
200 mm

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