Problem 2.4.1 Structural Design Introduction Structural engineering is the design of structural elements and their connections that work together to support loads and maintain stability within a system. Structures vary by application and can range in scale from complex bridge designs to massproduced cell phone enclosures. Regardless of the structure’s scale or purpose, all structures are designed to meet specific design criteria, including operational environment, durability, aesthetics, internal and external load handling, and cost. To ensure that the optimal structural design is achieved engineers with diverse backgrounds (e.g., material science, statics, etc.) work together throughout the design process. To aid engineers in the development of complex structural design, computer-aided design packages are used for design analysis and verification. Equipment Engineering notebook Research sources Computer loaded with West Point Bridge Designer software Procedure Your team will design and create a bridge utilizing West Point Bridge Designer software. West Point Bridge Designer is a simplified and scaled down computeraided design tool developed by Colonel Stephen Ressler, Department of Civil and Mechanical Engineering, U.S. Military Academy, West Point, New York. The software will allow you to apply engineering design, material science, and statics to the design of a truss bridge carrying a two-lane highway that spans a riverbed. Design Constraints Minimization of Cost (Design success will be evaluated based upon structural stability and overall cost—decrease the cost and improve the design.) Bridge Configuration o The bridge may cross the valley at any elevation from high water level to 24 meters above high water level. © 2012 Project Lead The Way, Inc. Principles of Engineering Problem 2.4.1 Structural Design – Page 1 o If the elevation of the bridge deck is below 24 meters, excavation of the riverbanks will be required to achieve the correct highway elevation. o To provide clearance for overhead power lines, the highest point on the bridge may not exceed an elevation 32.5 meters above the high water level (8.5 meters above the top of the riverbanks). o The bridge substructure may consist of either standard abutments (simple supports) or arch abutments (arch supports). If necessary, the bridge may also use one intermediate pier, located near the center of the valley. If necessary, the bridge may also use cable anchorages, located 8 meters behind one or both abutments. o Each main truss can have no more than 50 joints and no more than 120 members. o The bridge will have a flat, reinforced concrete deck. Two types of concrete are available: Medium-strength concrete requires a deck thickness of 23 centimeters (0.23 meter). High-strength concrete requires a deck thickness of 15 centimeters (0.15 meter). In either case, the deck will be supported by transverse floor beams spaced at 4-meter intervals. To accommodate these floor beams, your structural model must have a row of joints spaced 4 meters apart at the level of the deck. These joints are created automatically within West Point Bridge Designer. o The bridge deck will be 10 meters wide, such that it can accommodate two lanes of traffic. Member Properties o Materials—Each member of the truss will be made of either carbon steel; high-strength, low-alloy steel; or quenched and tempered steel. o Cross Sections—The members of the truss can be either solid bars or hollow tubes. Both types of cross sections are square. o Member Size—Both cross sections are available in a variety of standard sizes. The bridge must be capable of safely carrying the following loads: o Weight of the reinforced concrete deck. o Weight of a 5-cm thick asphalt wearing surface, which might be applied at some time in the future. o Weight of the steel floor beams and supplemental bracing members (assumed to be 12.0 kN applied at each deck-level joint). o Weight of the main trusses. o Either of two possible truck loadings: 1. Weight of one standard H25 truck loading per lane, including appropriate allowance for the dynamic effects of the moving load. Since the bridge carries two lanes of traffic, each main truss must safely carry one H25 vehicle, placed anywhere along the length of the deck. 2. Weight of a single 480 kN Permit Loading, including appropriate allowance for the dynamic effects of the moving load. Since the Permit Loading is assumed to be centered laterally, each main © 2012 Project Lead The Way, Inc. Principles of Engineering Problem 2.4.1 Structural Design – Page 2 truss must safely carry one-half of the total vehicle weight, placed anywhere along the length of the deck. The bridge will comply with the structural safety provisions of the 1994 LRFD AASHTO Bridge Design Specification (Load and Resistance Factor Design), to include: o Material densities o Load combinations o Tensile strength of members o Compressive strength of members Cost Calculations The cost of the design will be calculated using the following cost factors: Material Cost: o Carbon steel bars—$3.78 per kilogram o Carbon steel tubes—$6.30 per kilogram o High-strength steel bars—$4.62 per kilogram o High-strength steel tubes—$7.03 per kilogram o Quenched and tempered steel bars—$5.70 per kilogram o Quenched and tempered steel tubes—$7.95 per kilogram o Connection cost—$300.00 per joint o Product cost—$1000.00 per product Site Cost: o Reinforced concrete deck (medium strength)—$4,850 per 4-meter panel o Reinforced concrete deck (high strength)—$5,500 per 4-meter panel o Excavation—$1.00 per cubic meter (see the Site Design Wizard for excavation volume) o Supports (abutments and pier)—cost varies (see the Site Design Wizard for specific values) o Cable Anchorages—$6,000 per anchorage Explore West Point Bridge Designer Software 1. Launch West Point Bridge Designer Application. 2. Select Create a New Bridge Design. Select OK. © 2012 Project Lead The Way, Inc. Principles of Engineering Problem 2.4.1 Structural Design – Page 3 3. Read the design requirements overview. Select Next. 4. Under local contest code, select No. Select Next. © 2012 Project Lead The Way, Inc. Principles of Engineering Problem 2.4.1 Structural Design – Page 4 5. Explore and investigate the impact of deck elevation and support configurations related to the “Site Cost” by completing the deck elevation, arch abutment, pier, and cable anchorages cost impact tables. Deck Elevation 24 meters 20 meters 16 meters 12 meters 8 meters 4 meters 0 meters Deck Elevation Cost Impact Abutments Pier Cable Anchorages Standard No Pier No Standard No Pier No Standard No Pier No Standard No Pier No Standard No Pier No Standard No Pier No Standard No Pier No Deck Elevation 24 meters 24 meters 24 meters 24 meters 24 meters 24 meters Arch Abutment Cost Impact Arch Pier Cable Abutments Anchorages 24 meters No Pier No 20 meters No Pier No 16 meters No Pier No 12 meters No Pier No 8 meters No Pier No 4 meters No Pier No Deck Elevation 24 meters 24 meters 24 meters 24 meters Pier Cost Impact Abutments Pier Cable Anchorages Standard 24 meters No Standard 20 meters No Standard 16 meters No Standard 12 meters No Site Cost 62,700 72,500 86,300 97,100 108,900 121,700 131,500 Site Cost 91,200 85,300 82,500 81,400 80,100 81,000 Site Cost 107,000 104,200 101,400 98,600 © 2012 Project Lead The Way, Inc. Principles of Engineering Problem 2.4.1 Structural Design – Page 5 24 meters 24 meters 24 meters Deck Elevation 24 meters 24 meters 24 meters 6. Standard Standard Standard 8 meters 4 meters 0 meters No No No Cable Anchorages Cost Impact Abutments Pier Cable Anchorages Standard No Pier None Standard No Pier One Standard No Pier Two 95,800 93,000 90,200 Site Cost 62,700 68,700 74,700 Select: Deck Elevation: 24 meters Support Configuration: Standard Abutments No Pier No Cable Anchorages Note that total site cost should be $67,350.00. Select Next. 7. Explore and investigate the impact of deck material and truck loading configurations related to the “Site Cost” by completing the deck material and truck loading cost impact tables. © 2012 Project Lead The Way, Inc. Principles of Engineering Problem 2.4.1 Structural Design – Page 6 Deck Material and Truck Loading Cost Impact Deck Material Loading Medium-Strength Standard 25kN Medium-Strength 480 kN Permit Loading High-Strength Standard 25kN High-Strength 480 kN Permit Loading 8. Site Cost 62,700 62,700 66,000 66,000 Select: Deck Material: Medium Strength Loading: Standard 225kN Truck Select Next. 9. Under Select a Template, select none. Select Next. © 2012 Project Lead The Way, Inc. Principles of Engineering Problem 2.4.1 Structural Design – Page 7 10. Type your engineering team name into the Designed By field. Type “Exploring” into the Project ID field. Select Finish. 11. Explore the design window. 12. Explore the toolbars. 13. Investigate specific member properties. Select the Member Properties Report icon. © 2012 Project Lead The Way, Inc. Principles of Engineering Problem 2.4.1 Structural Design – Page 8 14. The Member Properties window provides you with detailed information related to the currently selected member. Notice that the material type, cross section type, and cross section size relate to the selected material in the toolbar. If you change the member properties within the toolbar, the Member Properties Report will also change. Investigate the different member properties by completing the member Material selection comparison, member Cross Section Type comparison and member Cross Section Size comparison. © 2012 Project Lead The Way, Inc. Principles of Engineering Problem 2.4.1 Structural Design – Page 9 Material Member Material Selection Comparison Cross Yield Modulus Mass Section Stress of Density Size Elasticity 160 2.00E+08 mm 250000 Kn 7850 kg Carbon Steel Cross Section Type Solid Bar HighStrength Solid Bar 160 mm Quenched Solid Bar 160 mm Material Carbon Steel Carbon Steel Material Carbon Steel Carbon Steel Carbon Steel Carbon Steel Cross Section Type Solid Bar Hollow Tube 345000 485000 2.00E+08 7850 Kg Kn 2.00E+08 kN 7850kg Member Cross Section Type Comparison Cross Yield Modulus Mass Section Stress of Density Size Elasticity 160 250000 2.00E+08 mm Kn 7850 kg 160 mm 250000 2.00E+08 7850 kg kn kN Member Cross Section Size Comparison Cross Cross Yield Modulus Mass Section Section Stress of Density Type Size Elasticity Solid 30 mm Bar 250000 kN 2.00E+08 7850 kg kN Solid 160 mm 250000 Bar kN 2.00E+08 7850 kg kN Solid 360 mm 250000k 2.00E+08 Bar N kN 7850 kg Solid 500 mm 250000 2.00E+08 Bar kN kN 7850 kg Moment of Inertia Cost per Meter 5.46E-05 meters 904.32 5.46E-05 1004.80 5.46E-05 1115.33 Moment of Inertia Cost per Meter 5.46E-05 904.32 1.88E-05 240.55 Moment of Inertia Cost per Meter 6.75E-08 31.79 5.46E-05 904.32 1.40E-03 4578.12 5.21E-03 8831.25 © 2012 Project Lead The Way, Inc. Principles of Engineering Problem 2.4.1 Structural Design – Page 10 15. Specify carbon steel, solid bar, 100mm. Select the Joint design tool and create a series of joints above the bridge road deck. 16. Select the Member draw tool and draw members between each joint. 17. After your bridge design is complete, select the load test icon from the toolbar. 18. A simulated load test will play for your bridge design. Notice as the truck (load) goes over the bridge, member forces can be seen by the change of color in each member. © 2012 Project Lead The Way, Inc. Principles of Engineering Problem 2.4.1 Structural Design – Page 11 19. Examine the forces within each truss member by expanding the member list located on the right side of the screen. This detailed list will allow you to optimize your design. A completely optimized design will have member compression and tension reading < 1. When the member reaches 1, it will fail. 20. Spend time optimizing your current truss design by altering material properties. When complete save your design as “Exploring”. Begin Your Own Design Utilizing West Point Bridge Design Software and the engineering design process, create the lowest cost possible bridge design that meets all design constraints. When you have completed your final design, register your design team for the official West Point Bridge Design Challenge and upload your team’s design at https://bridgecontest.org/ Documentation Deliverables (Written or multimedia format) Title Page: Include the title of the project, a picture of your final bridge design and team members, team member names, course title, name of your school, and the date. Design Brief: Include a description of the problem and constraints. Research Summary: Summarize your research related to material selection and bridge truss design. The research summary should be less than one page. Brainstorming Sketches/CAD Designs: Include copies or originals of your team’s brainstorming sketches and CAD designs. Modification Sketches: Include copies or originals of all major modifications. Final Bridge Design: Include copies or originals of the final design, including the following reports: load test results report, member property reports for all member styles used, and cost calculations report. Final Design Justification: Include justification for material selection and truss configuration. References: Use APA format to list all sources that were used to complete this activity. Conclusion Questions 1. How does the type and direction of stress applied affect the selection of the material type and the cross-sectional area? The wider the beam the more stress is applied and thus the selection of material type and cross-sectional area must be higher. 2. How can the forces of compression and tension work together to make a stronger bridge? © 2012 Project Lead The Way, Inc. Principles of Engineering Problem 2.4.1 Structural Design – Page 12 The forces of compression and tension work together to create a better bridge by spreading the forces evenly to make a safe and stable bridge. © 2012 Project Lead The Way, Inc. Principles of Engineering Problem 2.4.1 Structural Design – Page 13