Structure Analysis I Lecture 16 Deflection Conjugate-Beam Method

Structure Analysis I Lecture 16 Deflection Conjugate-Beam  Method

Structure Analysis I Lecture 16 Deflection Conjugate-Beam

Method Double Integral Method 2 d y M

2 dx EI Example 1

M Px d2y M 2 dx EI

M Px P y dx dx EI EI

EI P x3 y c1 x c2 EI 6

xdx Conjugate-Beam Method 2

d y M 2 dx EI

Example 1 nd the Max. deflection Take E=200Gpa, I=60(106) 562.5 B VB '

EI 562.5 14062.5 B M B ' (25) EI

EI Conjugate-Beam Supports Example 2 Find the deflection at Point C

C 27 63 162

C M C ' (1) (3) EI EI EI

Example 3 Find the deflection at Point D 720 EI

360 EI D M D ' 3600

EI Example 4 Find the Rotation at A

ft 10 33.3 A EI

Group work 1 Find the deflection at Point B Moment Diagrams and Equations for Maximum Deflection

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

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