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CE 301, Week 1 Notes

by: Dalton Mispagel

CE 301, Week 1 Notes ME 412

Marketplace > Kansas > Mechanical Engineering > ME 412 > CE 301 Week 1 Notes
Dalton Mispagel
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About this Document

These notes cover what is going to be on the next exam.
Thermal Systems
Xianglin Li
Class Notes
structure, cost, Math




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This 3 page Class Notes was uploaded by Dalton Mispagel on Wednesday August 24, 2016. The Class Notes belongs to ME 412 at Kansas taught by Xianglin Li in Fall 2016. Since its upload, it has received 5 views. For similar materials see Thermal Systems in Mechanical Engineering at Kansas.

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Date Created: 08/24/16
Group #3 CE 301- Monday, February 22, 2016 Robert Lyon Bridge Support Summary Statics is the branch of mechanics that is concerned with the analysis of loads such as forces, moments, moments of inertia, and more, that are statically in equilibrium. This branch of mechanics is one of the most commonly used form of mechanics in an engineers daily job. These can range from something as simple as how much weight a certain amount of books has on a shelf to something more complex like how much force a bridge can hold without breaking. In this project, our group statically analyzed a bridge to determine the different forces and loads this bridge can sustain along with the supports. The design concept of the bridge is broken down into separate components that all actively play an important role in calculating everything needed to analyze the different forces acting upon the bridge. The bridge we were assigned is 40 feet long and two ropes from both sides connect to another rope towards the middle of the bridge. One rope is 32.9 feet and the other rope is 39.7 feet, which connects to a single 10.8-foot rope towards the center of the bridge. The wood that is used is a cedar wood beam at 20 feet long, which has high sustainability to rotting. The stainless steel poles contain no chemical preservatives but also have a high sustainability to rusting. For a 40-foot bridge we will use 2-20 foot beams with decking a half- inch apart for proper drainage. There are two different types of loads to consider when building and constructing a bridge, dead load and live load. First we will discuss what all comprises a dead load. The dead load consists of the sum of the forces the cedar beams, the cross beams, and the deck boards all equal. We found the torque to be 27lb/ft. and the total weight of the beams to be 2160lbs. The crossbeam weight was found to be 135lbs. and the weight of the decking was found to be 1200lbs. The sum of the dead load is 3,500lbs. and the pressure of the bridge is 22lb/ft^2. All of this is essential in solving for the force that ropes and their supports, the steel rods, are needed in order to maintain the bridge in its upright position. The other critical component that one must consider when analyzing the forces acting on a bridge is the live load. This can be a little less intuitive and indirect because not every single hiker will weigh the same. Our group used an average weight per hiker of 190lb per 4 square feet. This pressure equals 47.5lb/ft^2, which yields 69.5lb/ft^2 when summing the dead and live loads. For safety reasons we will round up just to ensure we have enough forces in the opposite direction to support the desired loads to 70lb/ft^2. The total load on the bridge is found from the product of (160ft^2)x(70lb/ft^2) yielding 11200lbs. Each vertical rod can sustain 2800lbs. We found the yield strength of the rods to be 6,400lb and the allowable strength of the rods to be 3,240lb using a factor of safety of 1.67. Finally we used all of this information to calculate the forces that are all acting on this bridge. This information that proceeds provides us with the knowledge we need in order for the bridge to stay standing. In the longer rope, 39.7ft, the force was calculated to be 1870lbs. The shorter rope, 32.9ft, the force our group calculated was 1530lbs. These separate forces are essential when building a bridge because the bridge relies on these to keep it standing. Once these forces were found it concluded the project and we had solved the overriding question of what forces were needed to keep the bridge up.


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