Question
Asked Oct 22, 2019

 

the compound beam in the attachnent is fixed at A, pin connected at B, and supported by a roller at C.

part A.  draw the shear diagram for the beam.

part B.  draw the moment for the beam.

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check_circleExpert Solution
Step 1

Split the compound beam into simple beam as shown in figure.

3x 3 kN
2 kN
МА
1.5 m 1.5 m
3 m
В.
с
В.
У
(b)
(а)
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Image Transcriptionclose

3x 3 kN 2 kN МА 1.5 m 1.5 m 3 m В. с В. У (b) (а)

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Step 2

Consider the segment (b), Calculate the shear force and bending moment.

Bending moment:
ΣΜ-0
3
3 x3 x
-0
3C
C 4.5 kN
Shear force:
ΣΕ-0
B, 4.5-(3x 3)=0
B 4.5 kN
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Bending moment: ΣΜ-0 3 3 x3 x -0 3C C 4.5 kN Shear force: ΣΕ-0 B, 4.5-(3x 3)=0 B 4.5 kN

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Step 3

Use the reaction value By in the figure (a) calc...

Shear force
ΣΕ-0
A-2-4.5 0
A =6.5 kN
Bending moment:
ΣΜ-0
MI(2x 3)-(4.5x3)= 0
M19.5 kN m
help_outline

Image Transcriptionclose

Shear force ΣΕ-0 A-2-4.5 0 A =6.5 kN Bending moment: ΣΜ-0 MI(2x 3)-(4.5x3)= 0 M19.5 kN m

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