May 18, 2022
EGR 215 - Engineering Mechanics, StaticsCredits: 3
Instructional Contact Hours: 3
Develops skill in analyzing machine elements and structures, which are in static equilibrium. Solves forces and moments in 2D and 3D problems using vector calculus, integration, and algebra/trigonometry techniques. Includes concepts of centroids and moments of inertia and applies to mechanical linkages, disks and shafts, beams in bending, screw threads, trusses, frames, and vehicles.
Prerequisite(s): MTH 161 and PHY 211 both with a minimum grade of “C”
Lecture Hours: 45 Lab Hours: 0
Meets MTA Requirement: None
Outcomes and Objectives
- Demonstrate logic reasoning and the efficient use of tools to solve statics problems.
- Formulate a step-by-step approach to the complete understanding of the problem and its final solution.
- Develop a Free Body Diagram (FBD) of the component studied such as robotics and automation.
- Identify all pertinent variable son the FBD, or on sketches.
- Extract from the engineering mechanics body of knowledge the theory and formulas relating the variables of the problem in question.
- Make assumptions about variables not specified.
- Solve the problem, obtaining a single answer or a range of acceptable answers, using a hand calculator or a computer.
- Manipulate vectors in 2D and 3D space as methodology for setting up a problem for ultimate solution.
- Differentiate between scalars and vectors.
- Calculate the components of a vector with respect to Cartesian Coordinates in 2D or 3D space.
- Find the resultant vector from given components with respect to Cartesian Coordinates in 2D or 3D space.
- Calculate the dot product of 2 vectors in space.
- Calculate the cross product of 2 vectors in space.
- Calculate the mixed triple product of 3 vectors in space.
- Analyze a system of forces applied at a point on an object in 2D or 3D space.
- Develop a FBD of a system of forces, showing all forces as vectors.
- Solve for an unknown force using the conditions of equilibrium.
- Calculate unknown forces of a 2D system using components.
- Calculate unknown forces of a 3D system using vector manipulation.
- Analyze moments or couples applied on an object.
- Describe the moment vector in 3D space.
- Calculate the moment of a force applied at a distance from the point in question.
- Determine the moment of a force about a line in 3D space.
- Calculate the moment of a couple.
- Develop equivalent systems of forces and couples.
- Analyze an object known to be in equilibrium.
- Calculate unknown forces of an object in equilibrium.
- Identify redundant supports in a statically-indeterminate object.
- Identify improper supports in a statically-indeterminate object.
- Identify 2-Force or 3-Force members in a system of objects to simplify the solution.
- Analyze structures or a system of members in equilibrium.
- Calculate the force and its sense (compression or tension) of a specified member of a 2D truss by the method of joints.
- Calculate the force and its sense of a specified member of a 2D truss by the method of sections.
- Calculate the force in the members of a 3D truss.
- Calculate unknown forces or dimensions of a frame or machine known to be n equilibrium.
- Find the centroid or center of mass of an object.
- Calculate the centroid of a system of line segments.
- Calculate the centroid of an area by considering it as a composite of simple geometric shapes.
- Calculate the centroid of an area using the integration method.
- Calculate the center of mass of a 3D object using the composite method.
- Calculate the center of mass of a 3D object using the integration method.
- Calculate the surface area of a body of revolution using the Pappus Theorem.
- Find the moment of inertia of an object.
- Find the moment of inertia of an area bout its principle axes.
- Find the moment of inertia of an area about any axis in space using the parallel-axis theorem.
- Find the moment of inertia or mass moment of inertia by the method of integration.
- Identify what kind of engineering problems make use of the moment of inertia or the mass moment of inertia.
- Analyze systems, which have applied distributed forces.
- Calculate the internal moment at some point in a beam in bending.
- Calculate the internal shear forces in a beam in bending.
- Develop the Shear Force Diagram of a beam in bending.
- Develop the Bending Moment Diagram of a beam in bending.
- Determine the force on a body exposed to liquid static pressure.
- Analyze friction problems.
- Differentiate between coefficient of friction and angle of friction.
- Calculate forces in wedge problems.
- Calculate forces or dimensions in screw thread problems.
- Analyze friction in journal bearings.
- Analyze friction in thrust bearings.
- Calculate forces in belt drives.
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