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CE 201 - Statics

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CE 201 - Statics

Chapter 6 – Lecture 19

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

Joint B

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

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.

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:

- All loadings are applied at the joints
- 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

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