M3 - CIV100 Mechanics Module 3 Structural Analysis by...

Info iconThis preview shows pages 1–8. Sign up to view the full content.

View Full Document Right Arrow Icon
1 CIV100 – Mechanics Module 3: Structural Analysis by: Jinyue Zhang 2010/10/14 1 Module Objective By the end of this Module you should be able to: Understand what a truss is Know how to find internal forces in a truss using the method of joints using the method of sections Analyze complex structures such as frames and machines
Background image of page 1

Info iconThis preview has intentionally blurred sections. Sign up to view the full version.

View Full DocumentRight Arrow Icon
2 2010/10/14 2 Today’s Objective Understand a simple truss and its assumption Method of joints Examples 2010/10/14 3 What is a Truss? A truss is a structure comprising one or more triangular units constructed with straight members whose ends are pin-connected at joints.
Background image of page 2
3 2010/10/14 4 What is a Truss? Trusses are a major type of structure consisting of straight members We assume truss members are pin-connected at their ends by frictionless pins Loads are applied only at the joints Thus, member end forces must be collinear and opposite for equilibrium All truss members are 2-force members Members in tension or compression Tension: tends to elongate the member Compression: tends to shorten the member 2010/10/14 5 Rigid/Stable Trusses The simplest form of a rigid or stable truss is a triangle. It is still a simple truss if we consequently connect two members to form an additional triangular element.
Background image of page 3

Info iconThis preview has intentionally blurred sections. Sign up to view the full version.

View Full DocumentRight Arrow Icon
4 2010/10/14 6 Truss Analysis – Method of Joints In order to analyze/design a truss, we need to know the force in each member. 2010/10/14 7 Method of Joints – Procedure for Analysis Understand the structure, obtain all external forces for the whole structure first, including all reaction forces if necessary. Start with a joint having at least one known force and at most two unknown forces. Draw FBD of that joint, label all known and unknown forces. Establish the sense of unknown forces to be in tension. (or you can establish the sense by inspection ) Resolve forces into their x and y components and then apply the two force equilibrium equations. Solve for the unknown forces and verify their correct sense. Continue to analyze each of the other joints, solve those solvable joints (with at most two unknown forces) first, and then check your solution by the last joint.
Background image of page 4
5 2010/10/14 8 Example 1 Determine the force in each member. Are they in tension or compression? 2010/10/14 9 Example 1 Determine the force in each member. Are they in tension or compression? Pay attention to significant figures!
Background image of page 5

Info iconThis preview has intentionally blurred sections. Sign up to view the full version.

View Full DocumentRight Arrow Icon
6 2010/10/14 10 Example 2 Determine the force in each member. Are they in tension or compression? 2010/10/14 11 Example 2 Determine the force in each member. Are they in tension or compression?
Background image of page 6
7 2010/10/14 12 Review Questions In the method of joints, typically _________ equations of equilibrium are applied at every joint.
Background image of page 7

Info iconThis preview has intentionally blurred sections. Sign up to view the full version.

View Full DocumentRight Arrow Icon
Image of page 8
This is the end of the preview. Sign up to access the rest of the document.

This document was uploaded on 12/23/2010.

Page1 / 22

M3 - CIV100 Mechanics Module 3 Structural Analysis by...

This preview shows document pages 1 - 8. Sign up to view the full document.

View Full Document Right Arrow Icon
Ask a homework question - tutors are online