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CE 201 - Statics. Chapter 6 – Lecture 19. STRUCTURAL ANALYSIS. The main objective of chapter 6 is to use the equilibrium equations to analyze structures which are composed of pin-connected members. B. ِ A. C. This is a simple structure composed of three pin-connected members AB, BC and AC.

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CE 201 - Statics

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CE 201 - Statics

Chapter 6 – Lecture 19

STRUCTURAL ANALYSIS

The main objective of chapter 6 is to use the equilibrium equations to analyze structures which are composed of pin-connected members.

B

ِA

C

• This is a simple structure composed of three pin-connected members AB, BC and AC.

• It is assumed that as long as the structure is in equilibrium, then all members are in equilibrium.

• Forces at the joints (A, B, and C) can be found by applying equilibrium equations at different parts of the structure.

E

D

A

C

B

Simple Trusses

Joint B

Members are joined together by bolting or welding to a common plate (called guset plate)

Planar Trusses

Planar trusses lie in one plane ( i.e x-y plane). Forces acting on the joints and they lie in the same plane as the truss. That is why this type of trusses is considered as a two-dimensional truss.

Assumptions for Design

To design a truss, it is necessary to find the force that will develop in each member at certain loading conditions. To do that, the following two assumptions are made:

• Weight of members is neglected

• If weight is to be considered, then it has to be divided equally at both ends

• The members are joined together by smooth pins

• If welding or bolting to a common plate was used, then the center lines of connecting members must be concurrent

Compression

Tension

Assumptions for Design

• Each truss member acts as a two-force member

• If the force tends to elongate the member, then it is a tensile force (T)

• If the force tends to shorten the member, then it is a compressive force (C)

B

A

C

Simple Truss

Simple truss is constructed by starting with a basic triangular element such as the ABC truss below.