![]() Analysis of costs and benefits is a critical aspect of decisions about technology. New technologies can have deep impacts on society and the environment, including some that were not anticipated. When evaluating solutions it is important to take into account a range of constraints including cost, safety, reliability and aesthetics and to consider social, cultural and environmental impacts. This lesson focuses on the following Three Dimensional Learning aspects of NGSS:Įvaluate a solution to a complex real-world problem, based on scientific knowledge, student-generated sources of evidence, prioritized criteria, and tradeoff considerations.Īlignment agreement: Thanks for your feedback! Use the substitution method to solve systems of linear equations larger than 3 x 3.Įvaluate a solution to a complex real-world problem based on prioritized criteria and trade-offs that account for a range of constraints, including cost, safety, reliability, and aesthetics, as well as possible social, cultural, and environmental impacts.Ĭlick to view other curriculum aligned to this Performance Expectation.Use the method of joints to set up a system of linear equations to calculate the tensions and compressions on the truss elements. ![]() Use trigonometric ratios to find force magnitudes at a truss’ nodes.Perform the analysis of forces at a truss’ nodes using free body diagrams.Identify the components of a truss bridge. ![]() Because these systems may contain hundreds, if not thousands of equations, computers and software are used to solve them.Īfter this lesson, students should be able to: Engineers have to solve a wide variety of problems that requires finding the solution of one or many systems of linear equations. Engineers use sophisticated computer programs that solve all the equations resulting from a given problem solution. This engineering curriculum aligns to Next Generation Science Standards ( NGSS).ĭetermining the strength of structures is extremely important in civil and mechanical engineering. The method of joints is the core of a graphic interface created by the author in Google Sheets that students can use to estimate the tensions-compressions on the truss elements under given loads, as well as the maximum load a wood truss structure may hold (depending on the specific wood the truss is made of) and the thickness of its elements. This method is known as the “method of joints.” Finding the tensions and compressions using this method will be necessary to solve systems of linear equations where the size depends on the number of elements and nodes in the truss. In this lesson, students learn the basics of the analysis of forces engineers perform at the truss joints to calculate the strength of a truss bridge.
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