structure analysis i

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Structure Analysis I

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Structure Analysis I. Lecture 16. Deflection Conjugate-Beam Method. Double Integral Method. Example 1. Conjugate-Beam Method. Example 1. Find the Max. deflection Take E=200Gpa, I=60(10 6 ). Conjugate-Beam Supports. Example 2. Find the deflection at Point C. C. Example 3. - PowerPoint PPT Presentation

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Page 1: Structure Analysis I

Structure Analysis I

Structure Analysis I

Page 2: Structure Analysis I

Lecture 16Deflection

Conjugate-Beam Method

Page 3: Structure Analysis I

Double Integral Method

EI

M

dx

yd

2

2

21

3

2

2

6cxc

x

EI

Py

xdxEI

Pdx

EI

Pxdx

EI

My

EI

M

dx

yd

PxM

Example 1

Page 4: Structure Analysis I

EI

M

dx

yd

2

2

Conjugate-Beam Method

Page 5: Structure Analysis I

Example 1Find the Max. deflection Take E=200Gpa, I=60(106)

Page 6: Structure Analysis I

EIEIM

EIV

BB

BB

5.14062)25(

5.562

5.562

'

'

Page 7: Structure Analysis I

Con

jug

ate

-Beam

Su

pp

ort

s

Page 8: Structure Analysis I
Page 9: Structure Analysis I

Example 2Find the deflection at Point C

C

Page 10: Structure Analysis I

EIEIEIMCC

162)3(

63)1(

27'

Page 11: Structure Analysis I

Example 3Find the deflection at Point D

Page 12: Structure Analysis I

EI

360

EI

720 EIM DD

3600'

Page 13: Structure Analysis I

Example 4Find the Rotation at A

10 ft

Page 14: Structure Analysis I

EIA

3.33

Page 15: Structure Analysis I

Group work 1Find the deflection at Point B

Page 16: Structure Analysis I

Moment Diagrams and Equations for Maximum Deflection

Page 17: Structure Analysis I
Page 18: Structure Analysis I

Example 4 Find the Maximum deflection for the following structure based onThe previous diagrams

Page 19: Structure Analysis I