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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

**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.

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

International Edition---engineering Mechanics: Statics, 4th Edition

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