Question
Asked Feb 21, 2020
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a) Draw the approximate deflected shape based on the bending
moment diagram.
 
b) Develop both the slope and deflection functions (θ(x), v(x)) that is valid for 0 < x < L.
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Expert Answer

Step 1

a) Deflected beam diagram:

Civil Engineering homework question answer, step 1, image 1

Step 2

b) cantilever beam section:

Civil Engineering homework question answer, step 2, image 1

Bending moment at section x-x:

Civil Engineering homework question answer, step 2, image 2

Step 3

By doing integration on both sides:

Civil Engineering homework question answer, step 3, image 1

Again, do integration on both side:

Civil Engineering homework question answer, step 3, image 2

...

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