- published: 29 Nov 2012
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In geometry and science, a cross section is the intersection of a body in three-dimensional space with a plane, or the analog in higher-dimensional space. Cutting an object into slices creates many parallel cross sections. A cross section of three-dimensional space that is parallel to two of the axes is a contour line; for example, if a plane cuts through mountains of a raised-relief map parallel to the ground, the result is a contour line in two-dimensional space showing points of equal altitude.
Conic sections – circles, ellipses, parabolas, and hyperbolas – are formed by cross-sections of a cone at various different angles, as seen in the diagram at left.
Any planar cross-section passing through the center of an ellipsoid forms an ellipse on its surface, which degenerates to a circle for sections perpendicular to a symmetry axis.
A cross-section of a cylinder is a circle if the cross-section is parallel to the cylinder's base, or an ellipse with non-zero eccentricity (see diagram at right) if it is neither parallel nor perpendicular to the base. If the cross-section is perpendicular to the base it consists of two parallel line segments (not shown) unless it is just tangent to the cylinder, in which case it is a single line segment.
Cross section may refer to:
Powered by http://www.tenmarks.com . Learn to identify cross sections of solids.
The outer task shows cutting through a cube in a number of different ways and examining the cross section each time. The inner task is about working with images in ones head. It is the sort of Mathematics that can be done in the dead of night without access to paper or a computer.
Subscribe Now: http://www.youtube.com/subscription_center?add_user=ehoweducation Watch More: http://www.youtube.com/ehoweducation Whether or not the cross-section of a cylinder can be a circle depends on a few basic things. Find out if the cross-section of a cylinder can be a circle with help from a high school mathematics tutor in this free video clip. Expert: Charlie Kasov Filmmaker: Victor Varnado Series Description: Whether you're trying to convert one unit of measurement to another or are trying to measure an object like an irregular triangle, a few fundamental principles of mathematics can help make the whole job easier. Learn how to complete various mathematical tasks with help from a high school mathematics tutor in this free video series.
Example locating the geometric centroid of a cross-section using the first moment of area.
This Math Shorts episode helps students understand the two-dimensional figures that result from slicing solid three-dimensional figures. The video demonstrates this using cylinders and right rectangular pyramids as the three-dimensional figures. Please visit the PBS Learning Media library (pbslearningmedia.org/resource/muen-math-g-slicing-3d-figures/slicing-three-dimensional-figures/) to access the supplementary learning materials included with this video. This video was made for the PBS Learning Media library, thanks to a generous grant from the Corporation for Public Broadcasting. It was produced in collaboration with Utah Education Network. Common Core State Standards: CCSS.Math.Cont.7.G.A.3 ( Grade 7 ): Describe the two-dimensional figures that result from slicing three-dimensional...
Calculating the geometric properties of a channel cross section. Part 1: Locating the geometric centroid Part 2: Calculating the moment of inertia
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In geometry and science, a cross section is the intersection of a body in three-dimensional space with a plane, or the analog in higher-dimensional space. Cutting an object into slices, creates many parallel cross sections. A cross section of three-dimensional space that is parallel to two of the axes is a contour line; for example, if a plane cuts through mountains of a raised-relief map parallel to the ground, the result is a contour line in two-dimensional space showing points of equal altitude. This video is targeted to blind users. Attribution: Article text available under CC-BY-SA Creative Commons image source in video
Main Steps involved during analysis- 1.Creating beam geometry using design modeler. 2.Meshing the geometry. 3.Finally applying conditions on the beam a.) fixing the support. b.) applying the forces. c.) final stress result process, This is how you can analyse any beam using the following conditions. Hope you enjoyed
Angles of triangles and classifications of triangles
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Specifying the end ring cross section of induction motor Change cross section geometry of end ring in the induction motor, and the proportional shift can be verified. http://www.jmag-international.com/express/index.html JMAG is a comprehensive software suite for electromechanical equipment design and development. Powerful simulation and analysis technologies provide a new standard in performance and quality for product design.
Intro to polyhedrons, Euler's Formula and cross sections
- Calculate the center of gravity of the composite section; - Is computed axial and centrifugal moments of inertia from the center of gravity; -it apply Steiner's theorem; - Are the main directions; - Mohr's circle is traced.
- Calculate the center of gravity of the composite section; - Is computed axial and centrifugal moments of inertia from the center of gravity; -it apply Steiner's theorem; - Are the main directions; - Mohr's circle is traced.
This video shows how to generate in FEMAP a Beam Cross Section properties based in profiles imported from 3D CAD solid geometry using the feature "Surface with REFERENCE POINT" that provides an easy method to automatically define the shear center/neutral axis offset for beams that are automatically meshed onto a curve. Best regards, Blas.