9 kN В |A 2 m 2 m F8–22/23

Structural Analysis
6th Edition
ISBN:9781337630931
Author:KASSIMALI, Aslam.
Publisher:KASSIMALI, Aslam.
Chapter2: Loads On Structures
Section: Chapter Questions
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Use the moment-area theorems and determine the slope at B and displacement at B. EI is constant.

9 kN
В
|A
2 m
2 m
F8–22/23
Transcribed Image Text:9 kN В |A 2 m 2 m F8–22/23
Expert Solution
Step 1

Consider the free body diagram of the given beam as shown below.

Civil Engineering homework question answer, step 1, image 1

EI=Constant

Support Reactions:

Consider the moment equilibrium about point A.

MA=0 clockwise +ve-MA+9×2=0MA=18 kNm anticlockwise

Consider the equilibrium of summation of forces in the vertical direction.

Fy=0  +veVA-9=0VA=9 kN 

Consider the equilibrium of summation of forces in the horizontal direction.

Fx=0  +veHA=0

Step 2

Draw Bending Moment Diagram and MEI Diagram as shown below.

Civil Engineering homework question answer, step 2, image 1

Step 3

Draw initial suggestive deflected shape of the beam due to loading and draw tangents throw A and B on deflected shape as shown below.

Civil Engineering homework question answer, step 3, image 1

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