Simple Truss Analysis Introduction - IFSC Joinvillemigueltbahia/Mecanica dos...Engineering...

Simple Truss AnalysisIntroduction

Engineering Mechanics: Statics * Dr. Yiheng Wang


Objectives of this video:

• To provide a brief introduction of simple truss structures.

• To explain how to identify zero-force members in simple truss structures.

Simple Truss AnalysisIntroduction


Truss analysis assumptions

1. Simple truss is constructed by expanding triangles.

2. All the forces are applied at the joints.

3. All members are joined together by pins.

supports:


tension

compression


F2

F1

F3

F4

F2

F1

F3

F4

particle equilibrium


Compression: push towards the joint.

Tension: pull away from the joint.

Reminder: 2-D particle equilibrium:

enables solving for 2 unknowns at a time.

0

0

y

x

F

F


F F

tension

compression

F F

F FF F

F F

F F


Zero-Force Members

3 kN 3 kN

A B

CD

E

A B

Cx

y

0

0

ADy

CDx

FF

FF

FCD

FAD

0

0

AD

CD

F

F

x

y

FBE

FCE

0cos

0sin

CEBEy

CEx

FFF

FF

0

0

BE

CE

F

F


200 lb

AB

C

D

E

F 200 lb

AB

C

D

E

F

x

yx

y

Zero-Force Members


C

A

B

D

400 N 300 N

E

0.6 m

0.6 m

0.3 m

1.2 m


Question 1: Is the following a simple truss structure? Why or why not?

Question 2: Which one of the following truss members is a zero-force member?

(a) member EG (b) member FG

(c) member EF (d) member BE

200 N

AB

C

DE

F

G

120 N160 N

45º


Simple Truss Analysis Introduction - IFSC Joinvillemigueltbahia/Mecanica dos...Engineering...

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