# Construct the shear force and bending moment diagrams for the beam shown by the area method. Neglect the weight of the beam.

### International Edition---engineerin...

4th Edition
Andrew Pytel And Jaan Kiusalaas
Publisher: CENGAGE L
ISBN: 9781305501607

Chapter
Section

### International Edition---engineerin...

4th Edition
Andrew Pytel And Jaan Kiusalaas
Publisher: CENGAGE L
ISBN: 9781305501607
Chapter 6, Problem 6.43P
Textbook Problem
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## Construct the shear force and bending moment diagrams for the beam shown by the area method. Neglect the weight of the beam.

To determine

Construct the shear force and bending moment diagram by area method.

### Explanation of Solution

Given:

Weight of beam is neglected.

Concept used:

Bending moment at any point is given as:

Mnet=0 ....... (1)

Here, net moment is Mnet.

Net force in any direction is given as:

Fnet=0 ....... (2)

Here, net force is Fnet.

Bending moment at any section is given as:

MXX=AreaofSFx-x ....... (3)

Here, bending moment at any section is MXX and shear force at any section is SFx-x.

Shear force at any section is given as:

SFXX=AreaofFx-x ....... (4)

Here, bending force at any section is FXX and shear force at any section is SFx-x.

Calculation:

For the above free body diagram:

Take moment at any point A:

Substitute Re×16800×121200×8400×4 for Mnet in equation (1).

Re×16800×121200×8400×4=0Re=1300lb

Substitute Re+Ra4001200800 for Fnet and 1300lb for Re in equation (2).

Re+Ra4001200800=0Ra=1100lb

For section AB:

VAB=areaofFABVBVA=400VB=1100400VB=700lb

For section BC:

VBC=areaofFBCVC

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