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23 relations: Annulus (mathematics), Beam (structure), Cartesian coordinate system, Centroid, Deflection (engineering), Euler–Bernoulli beam theory, Imperial units, Inch, International System of Units, Linearity of integration, List of moments of inertia, List of second moments of area, Metre, Moment of inertia, Multiple integral, Parallel axis theorem, Perpendicular axis theorem, Polar coordinate system, Pythagorean theorem, Radius of gyration, Simple polygon, Structural engineering, Unit of measurement.
Annulus (mathematics)
In mathematics, an annulus (the Latin word for "little ring" is anulus/annulus, with plural anuli/annuli) is a ring-shaped object, a region bounded by two concentric circles.
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Beam (structure)
A beam is a structural element that primarily resists loads applied laterally to the beam's axis.
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Cartesian coordinate system
A Cartesian coordinate system is a coordinate system that specifies each point uniquely in a plane by a pair of numerical coordinates, which are the signed distances to the point from two fixed perpendicular directed lines, measured in the same unit of length.
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Centroid
In mathematics and physics, the centroid or geometric center of a plane figure is the arithmetic mean position of all the points in the shape.
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Deflection (engineering)
In engineering, deflection is the degree to which a structural element is displaced under a load.
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Euler–Bernoulli beam theory
Euler–Bernoulli beam theory (also known as engineer's beam theory or classical beam theory)Timoshenko, S., (1953), History of strength of materials, McGraw-Hill New York is a simplification of the linear theory of elasticity which provides a means of calculating the load-carrying and deflection characteristics of beams.
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Imperial units
The system of imperial units or the imperial system (also known as British Imperial or Exchequer Standards of 1825) is the system of units first defined in the British Weights and Measures Act of 1824, which was later refined and reduced.
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Inch
The inch (abbreviation: in or &Prime) is a unit of length in the (British) imperial and United States customary systems of measurement now formally equal to yard but usually understood as of a foot.
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International System of Units
The International System of Units (SI, abbreviated from the French Système international (d'unités)) is the modern form of the metric system, and is the most widely used system of measurement.
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Linearity of integration
In calculus, the integral of any linear combination of functions equals the same linear combination of the integrals of the functions; this property is known as linearity of integration.
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List of moments of inertia
In physics and applied mathematics, the mass moment of inertia, usually denoted by, measures the extent to which an object resists rotational acceleration about a particular axis, and is the rotational analogue to mass.
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List of second moments of area
The following is a list of second moments of area of some shapes.
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Metre
The metre (British spelling and BIPM spelling) or meter (American spelling) (from the French unit mètre, from the Greek noun μέτρον, "measure") is the base unit of length in some metric systems, including the International System of Units (SI).
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Moment of inertia
The moment of inertia, otherwise known as the angular mass or rotational inertia, of a rigid body is a tensor that determines the torque needed for a desired angular acceleration about a rotational axis; similar to how mass determines the force needed for a desired acceleration.
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Multiple integral
The multiple integral is a definite integral of a function of more than one real variable, for example, or.
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Parallel axis theorem
The parallel axis theorem, also known as Huygens–Steiner theorem, or just as Steiner's theorem, after Christiaan Huygens and Jakob Steiner, can be used to determine the mass moment of inertia or the second moment of area of a rigid body about any axis, given the body's moment of inertia about a parallel axis through the object's center of gravity and the perpendicular distance between the axes.
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Perpendicular axis theorem
In physics, the perpendicular axis theorem (or plane figure theorem) can be used to determine the moment of inertia of a rigid object that lies entirely within a plane, about an axis perpendicular to the plane, given the moments of inertia of the object about two perpendicular axes lying within the plane.
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Polar coordinate system
In mathematics, the polar coordinate system is a two-dimensional coordinate system in which each point on a plane is determined by a distance from a reference point and an angle from a reference direction.
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Pythagorean theorem
In mathematics, the Pythagorean theorem, also known as Pythagoras' theorem, is a fundamental relation in Euclidean geometry among the three sides of a right triangle.
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Radius of gyration
Radius of gyration or gyradius of a body about an axis of rotation is defined as the radial distance of a point from the axis of rotation at which, if whole mass of the body is assumed to be concentrated, its moment of inertia about the given axis would be the same as with its actual distribution of mass.
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Simple polygon
In geometry a simple polygon is a flat shape consisting of straight, non-intersecting line segments or "sides" that are joined pair-wise to form a closed path.
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Structural engineering
Structural engineering is that part of civil engineering in which structural engineers are educated to create the 'bones and muscles' that create the form and shape of man made structures.
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Unit of measurement
A unit of measurement is a definite magnitude of a quantity, defined and adopted by convention or by law, that is used as a standard for measurement of the same kind of quantity.
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References
[1] https://en.wikipedia.org/wiki/Second_moment_of_area
