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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
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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?
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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
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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?
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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.
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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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