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Truss_analysis

# Truss_analysis - Why are manhole covers round General...

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Why are manhole covers round?

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General Principles Needed for basic Engineering Analysis of a Truss
Trusses are a part of the field Mechanics of Materials Mechanics of Materials Statics – Force distribution in truss Strength of Materials – response of truss Structural Analysis: Specific applicable field Solving Engineering problems in this field requires Physics Mathematics Properties and measurements

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Examples of Trusses How do we know if the bridge will hold the weight?
A Simple example P P R3 R2 R1 There must be some forces holding the structure in place. How do we determine these forces?

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Newton’s Three Laws of Motion Body at rest remains at rest unless acted upon by a net force Body with a net force will accelerate in the direction of and in proportion to net force For every action there is an equal and opposite reaction 1 st 2 nd 3 rd
Examples of the Three Laws m Sum of forces equal zero body at rest m F1 F2 F1=F2 F1>F2 F1-F2=ma F1 F2 a 1 st Law 2 nd Law m If at rest, ball pushes against wall with force F; wall pushes against ball with force F. F2 3 rd Law

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Great! I have three laws, but what is a Force?
Answers to what is a force A push or pull Newton’s law is what defines a force. It is a vector It is measured in Newtons or Pounds It is needed to do work

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Graphical Representation of a Vector A vector can be represented by an arrow. The length of the arrow is the magnitude. The line of the arrow defines the direction. The arrowhead represents the sense.
Vectors have magnitude and direction F ˆ F ˆ Magnitude Direction F ˆ θ Direction of a vector can be expressed by the angle it makes with a reference line

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Position vector R ˆ x y a b A Position of point A is located a distance of a in the x axis and a distance of b in the y axis. Position of A can be given by the position vector R ˆ What is the magnitude of R and angle R makes with x -axis?
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