Reactions at A and B Shear diagram Bending moment diagram Maximum absolute bending moment diagram Qualitative deflected shape

Residential Construction Academy: House Wiring (MindTap Course List)
5th Edition
ISBN:9781337402415
Author:Gregory W Fletcher
Publisher:Gregory W Fletcher
Chapter4: Test And Measurement Instruments Used In Residential Wiring
Section: Chapter Questions
Problem 12RQ
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Question

Y=25kN/m, P1=24kN and P2=7kN

using method of section

P1 P2
A
C
D
В
y
2 m
1.5 m 0.5 m
Transcribed Image Text:P1 P2 A C D В y 2 m 1.5 m 0.5 m
1) Reactions at A and B
2) Shear diagram
3) Bending moment diagram
4) Maximum absolute bending moment diagram
5) Qualitative deflected shape
Transcribed Image Text:1) Reactions at A and B 2) Shear diagram 3) Bending moment diagram 4) Maximum absolute bending moment diagram 5) Qualitative deflected shape
Expert Solution
Step 1

"As per our guidelines we are supposed to solve first three sub parts, kindly submit other sub parts separately and mention their question number. Thank you".

Draw the free body diagram.

Civil Engineering homework question answer, step 1, image 1

Equilibrium of horizontal forces,

Fx=0Ax=0

Step 2

Equilibrium of vertical forces,

Fy=0Ay+252-24-7=0Ay=-19 kN

Taking moment at A,

MA=0MA=25222-243.5-74=0MA=-62 kNm

 

Step 3

It is required to determine the shear force.

SFA=-19 kNSFC=-19+252=31 kNSFD=31-24=7 kNSFB=7-7=0

It is required to determine the location of point of contraflexure.

Take a section X-X at a distance of x from A.

FX-X=0-19+25x=0x=0.76 m

The maximum bending moment occurs at a distance of 0.76 m from A.

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