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Copyright ©2011 by Pearson Education, Inc.

All rights reserved.

Statics and Mechanics of Materials, Third Edition

Russell C. Hibbeler

Trusses

Copyright ©2011 by Pearson Education, Inc.

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Statics and Mechanics of Materials, Third Edition

Russell C. Hibbeler

Copyright ©2011 by Pearson Education, Inc.

All rights reserved.

Statics and Mechanics of Materials, Third Edition

Russell C. Hibbeler

Copyright ©2011 by Pearson Education, Inc.

All rights reserved.

Statics and Mechanics of Materials, Third Edition

Russell C. Hibbeler

Basics & Assumptions

• Trusses are composed of

Members (long & slender)

Joints (where members connect)

Forces are only at Joints

Copyright ©2011 by Pearson Education, Inc.

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Statics and Mechanics of Materials, Third Edition

Russell C. Hibbeler

Copyright ©2011 by Pearson Education, Inc.

All rights reserved.

Statics and Mechanics of Materials, Third Edition

Russell C. Hibbeler

Assumptions

• Pin connections to members at joints.

• All loads are at joints.

• All members are rigid and straight.

Members are considered two-force members

Either in tension (pulling at joint),

OR in compression (pushing at joint)

Assume tension if unknown.

• Force in member is along the member

Copyright ©2011 by Pearson Education, Inc.

All rights reserved.

Statics and Mechanics of Materials, Third Edition

Russell C. Hibbeler

Copyright ©2011 by Pearson Education, Inc.

All rights reserved.

Statics and Mechanics of Materials, Third Edition

Russell C. Hibbeler

Copyright ©2011 by Pearson Education, Inc.

All rights reserved.

Statics and Mechanics of Materials, Third Edition

Russell C. Hibbeler

Example

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Statics and Mechanics of Materials, Third Edition

Russell C. Hibbeler

Joint B

Joints

• Tensions Pulls

• Compression Pushes

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Statics and Mechanics of Materials, Third Edition

Russell C. Hibbeler

Section

around B

• Tensions Pulls

• Compression Pushes

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Statics and Mechanics of Materials, Third Edition

Russell C. Hibbeler

Joints & Members

• Tensions Pulls

• Compression Pushes

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Statics and Mechanics of Materials, Third Edition

Russell C. Hibbeler

Two approaches to find forces

in members • Method of Joints

ΣFx=0

ΣFy=0

OR

• Method of Sections

ΣFx=0

ΣFy=0

ΣMz=0

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Statics and Mechanics of Materials, Third Edition

Russell C. Hibbeler

Method of Joints

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Statics and Mechanics of Materials, Third Edition

Russell C. Hibbeler

Copyright ©2011 by Pearson Education, Inc.

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Statics and Mechanics of Materials, Third Edition

Russell C. Hibbeler

Copyright ©2011 by Pearson Education, Inc.

All rights reserved.

Statics and Mechanics of Materials, Third Edition

Russell C. Hibbeler

Copyright ©2011 by Pearson Education, Inc.

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Statics and Mechanics of Materials, Third Edition

Russell C. Hibbeler

Zero Force Members

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Statics and Mechanics of Materials, Third Edition

Russell C. Hibbeler

Copyright ©2011 by Pearson Education, Inc.

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Statics and Mechanics of Materials, Third Edition

Russell C. Hibbeler

Zero Force Members

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Statics and Mechanics of Materials, Third Edition

Russell C. Hibbeler

Copyright ©2011 by Pearson Education, Inc.

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Statics and Mechanics of Materials, Third Edition

Russell C. Hibbeler

Simplified Truss Design

w/o Zero Force Members

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Statics and Mechanics of Materials, Third Edition

Russell C. Hibbeler

Can you spot the

Zero Force Members ?

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Statics and Mechanics of Materials, Third Edition

Russell C. Hibbeler

Copyright ©2011 by Pearson Education, Inc.

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Statics and Mechanics of Materials, Third Edition

Russell C. Hibbeler

Find the Zero force members

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Statics and Mechanics of Materials, Third Edition

Russell C. Hibbeler

Copyright ©2011 by Pearson Education, Inc.

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Statics and Mechanics of Materials, Third Edition

Russell C. Hibbeler

Copyright ©2011 by Pearson Education, Inc.

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Statics and Mechanics of Materials, Third Edition

Russell C. Hibbeler

Method of Sections

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Statics and Mechanics of Materials, Third Edition

Russell C. Hibbeler

Internal forces

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Statics and Mechanics of Materials, Third Edition

Russell C. Hibbeler

Method of Sections:

3 unknowns Max

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Statics and Mechanics of Materials, Third Edition

Russell C. Hibbeler

Copyright ©2011 by Pearson Education, Inc.

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Statics and Mechanics of Materials, Third Edition

Russell C. Hibbeler

Copyright ©2011 by Pearson Education, Inc.

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Statics and Mechanics of Materials, Third Edition

Russell C. Hibbeler

Machines/Frames

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Statics and Mechanics of Materials, Third Edition

Russell C. Hibbeler

Copyright ©2011 by Pearson Education, Inc.

All rights reserved.

Statics and Mechanics of Materials, Third Edition

Russell C. Hibbeler

Copyright ©2011 by Pearson Education, Inc.

All rights reserved.

Statics and Mechanics of Materials, Third Edition

Russell C. Hibbeler

Copyright ©2011 by Pearson Education, Inc.

All rights reserved.

Statics and Mechanics of Materials, Third Edition

Russell C. Hibbeler

Copyright ©2011 by Pearson Education, Inc.

All rights reserved.

Statics and Mechanics of Materials, Third Edition

Russell C. Hibbeler

Copyright ©2011 by Pearson Education, Inc.

All rights reserved.

Statics and Mechanics of Materials, Third Edition

Russell C. Hibbeler

Copyright ©2011 by Pearson Education, Inc.

All rights reserved.

Statics and Mechanics of Materials, Third Edition

Russell C. Hibbeler

Copyright ©2011 by Pearson Education, Inc.

All rights reserved.

Statics and Mechanics of Materials, Third Edition

Russell C. Hibbeler

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