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Using Macaulay's mehtod calculate the slope of the beam at C as shown in figure. Take EI=40×103 kNm2

Subject : Structural Analysis 1

Topic : Deflection of Beam

Difficulty : High

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1 Answer
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enter image description here

1. Calculation support reaction:

MA=0(+ve)160+120×4VB×8=0VB=80 kN

FY=(+ve)VA120+40VA=40 kN


2. Using Macaulay's Method:

Let, Taking A as origin and using Macaulay's Method, the bending moment at any section x at a distance x from A.

BMx=EId2ydx2=80x+160(x3)015xx2

=80x+160(x3)015x22 --- (1)

Integrating …

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