   # For the beam shown, derive the expressions for V and M , and draw the shear force and bending moment diagrams. Neglect the weight of the beam. ### International Edition---engineerin...

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

#### Solutions

Chapter
Section ### International Edition---engineerin...

4th Edition
Andrew Pytel And Jaan Kiusalaas
Publisher: CENGAGE L
ISBN: 9781305501607
Chapter 6, Problem 6.25P
Textbook Problem
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## For the beam shown, derive the expressions for V and M, and draw the shear force and bending moment diagrams. Neglect the weight of the beam. To determine

Expressions and diagrams for shear force and bending moment

### Explanation of Solution

Given information:

The equations that describe the variation of bending moment and shear force with the location of cross section are called the shear force (V) and bending moment (M) equations.

When V and M equations are drawn to scale, the results are called the V and M diagrams.

If all external forces are known, we can use equilibrium analysis to find shear force and bending moment equations.

Steps to follow in the equilibrium analysis of a body are:

1. Draw the free body diagram.

2. Write the equilibrium equations.

3. Solve the equations for the unknowns.

Calculation:

FBD of the beam

Assume V and M as shear force and bending moment.

Write equilibrium equation in vertical direction.

Fy=0

V+50x2+100(6xx2)=0V=(50x2600x)lb

For the equilibrium of above section, the bending moment about point C is equal to zero

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