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

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Unformatted text preview: Why are manhole covers round? 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 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? 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 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 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 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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This note was uploaded on 11/02/2009 for the course PCE EAS 102 taught by Professor Coffin during the Spring '09 term at Miami University.

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

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