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

Mechanics of Materials (MindTap Course List)
9th Edition
ISBN:9781337093347
Author:Barry J. Goodno, James M. Gere
Publisher:Barry J. Goodno, James M. Gere
Chapter10: Statically Indeterminate Beams
Section: Chapter Questions
Problem 10.4.2P: A fixed-end beam AB carries point load P acting at point C. The beam has a rectangular cross section...
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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
Transcribed Image Text: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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