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Question 2A fixed-fixed beam in Figure Q2 1s loaded by a triangularly dıstributed load of maxımumintensity qo kN/m at BUse the fourth-order dıfferential equation of the deflection curve to find expressions for2.1reactions at A and B,22Determine the equatıon of the deflectuon curveo kN/myXLFigure Q2

Question
Question 2
A fixed-fixed beam in Figure Q2 1s loaded by a triangularly dıstributed load of maxımum
intensity qo kN/m at B
Use the fourth-order dıfferential equation of the deflection curve to find expressions for
2.1
reactions at A and B,
22
Determine the equatıon of the deflectuon curve
o kN/m
y
X
L
Figure Q2
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Question 2 A fixed-fixed beam in Figure Q2 1s loaded by a triangularly dıstributed load of maxımum intensity qo kN/m at B Use the fourth-order dıfferential equation of the deflection curve to find expressions for 2.1 reactions at A and B, 22 Determine the equatıon of the deflectuon curve o kN/m y X L Figure Q2

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Step 1

Draw the free body diagram of the beam as shown in figure.

B
L
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B L

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Step 2

Calculate the magnitude of load at arbitrary section.

L
x
L
Assume there is no load acting the beam
d'v
EI
L
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L x L Assume there is no load acting the beam d'v EI L

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Step 3

Calculate the successive integ...

Lo-r2
2L
EI
dx
Moment equation:
Lo-r3
GxC2
.d'v
EI
6L
Slope equation:
dv
EI
dx
C
C2xC
24L
2
Deflection equation:
+C
120L
C2
Elv =
CxC
6
2
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Lo-r2 2L EI dx Moment equation: Lo-r3 GxC2 .d'v EI 6L Slope equation: dv EI dx C C2xC 24L 2 Deflection equation: +C 120L C2 Elv = CxC 6 2

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