Using them equations below by integrating them Q8. Determine the deflection of point B on the steel beam with I = 80×106 mm4 and E = 200GPa.[Ans. 11.7 mm]Ap3 m20 kNB5 m Load CategoryTensionSimple ShearTorsionBendingGeneralExpression forStrain EnergyF²2AEV²2AGT²2GJdxM²2EIdxdxdxParticular Casefor constant loadand geometryWF²L2AEV²L2AGT'L2GJStrain Energyper unit volume2Tm4G2omo2E6E2T2GM²L2EIforrectangularsectionchear is small compared to thatforcircularsection

GivenI=80×106 mm4=80×10-6 m4E=200GPa

Answered: Q8. Determine the deflection of point B…

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Q8. Determine the deflection of point B on the steel beam with I = 80×106 mm4 and E = 200 GPa. [Ans. 11.7 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

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Using them equations below by integrating them

Q8. Determine the deflection of point B on the steel beam with I = 80×106 mm4 and E = 200
GPa.
[Ans. 11.7 mm]
Ap
3 m
20 kN
B
5 m

Load Category
Tension
Simple Shear
Torsion
Bending
General
Expression for
Strain Energy
F²
2AE
V²
2AG
T²
2GJ
dx
M²
2EI
dx
dx
dx
Particular Case
for constant load
and geometry
W
F²L
2AE
V²L
2AG
T'L
2GJ
Strain Energy
per unit volume
2
Tm
4G
2
om
o
2E
6E
2
T
2G
M²L
2EI
for
rectangular
section
chear is small compared to that
for
circular
section

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