# ENGR 1310 Introduction to Mechanical Engineering

ENGR 1310 Introduction to Mechanical Engineering Fundamentals Spring 2013 Dr. Paul Griesemer Case Study in Mechanical Engineering: Bridge Construction Why do bridges look the way they do? Many different

shapes, sizes, construction techniques What are the design issues in bridge construction? What are we trying to optimize with the best design Strength Safety

Cost Materials Complexity Longevity Suspension Low cost over large spans Arch Strong, durable

Truss Simple, small members over small spans Types of Bridges Pier & Beam (or just Beam) BP Pedestrian Bridge in Millennium Park, Chicago, Illinois Types of Bridges Suspension (or Cable-stayed)

Akashi-Kaiky Bridge (or Pearl Bridge) over the Akashi Strait in Japan World's longest spanning suspension bridge Types of Bridges Arch Bridge Si-o-se Pol bridge over Zayandeh River in Esfahan, Iran Types of Bridges Truss Bridge Kingston-Rhinecliff Bridge over Hudson River, New York, USA

Our goal will be to understand the basic design and analysis methods Our design project will be a truss structure Predict the strength properties Engineering Analysis of a Truss What is the maximum load a structure can support? How do you design a structure to meet load requirements? How do you determine the forces in each

member of the truss? Answer: Mechanics Mechanics Statics F 0 Nothing accelerating Not time dependent

Dynamics F ma Forces lead to acceleration Translation and rotation Background: Forces and Vectors In both Statics and Dynamics, forces must be treated as vectors.

Vectors Scalars Have magnitude and direction Examples Have only a magnitude Examples:

Volume Time Mass Velocity Position Acceleration Addition of Vectors

Vectors are added tip to tail Vectors dont have a designated location F2 F1 + F2 F1 Components of a Vector Similarly, vectors can be broken into smaller vectors whose addition equals the original

F Fx Fy Fx = F cos() Fy = F sin() Picture Frame Example:

What is the best way to hang a 40 lb mirror on a wall? How much tension is in the hanger wire in each case? Option 1: One Hanger in Wall Option 2: Two Hangers in Wall 12 in 12 in

48 in 12 in

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