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Half-space Method
Solid representation is based fundamentally on the notion that a physical object divides an n-dimensional space En into two regions: interior and exterior, separated by object boundaries. In terms of above notion, a solid model of an object is defined mathematically as a point set S in 3-D Euclidean space (E3).
Suppose a surface divides the whole of three-dimensional space into two distinct regions. Each such region is called a "half-space". This does NOT imply that they are equal in volume. One possible surface is the sphere denoted by the equation
X * X + Y * Y + Z * Z = 1
Q. A beam made of C.I. having section of 50mm external diameter and 25 mm internal diameter is supported at 2 points 4 m apart. The beam carries concentrated load of 100N at the ce
Lap or fillet joint Lap joint is obtained by overlapping the plates and welding their edges. The fillet joints may be single transverse fillet, double transverse fillet or par
expression for elongation of bar of conical section under the action of axial force p whenit tapers from d1 to d2 over a length
Austempering: The component to be hardened is initialy austenised and after that quenched into a lead or salt bath held at just over the martensite transformation temperature
applications of dynamically induced emf
The following specification is used for the design of a flanged coupling between two coaxial shafts: Speed: 650rpm Power transmitted: 550 kW Bolt Diameter: 12 mm Pit
Difference between path function and point function
Forces working on sphere: Let a sphere of mass m, suspended by means of a string, resting against a smooth wall, as illustrated in Figure (a). What are the forces working on i
A column is made from a universal I-section 203x 203 x 60. A load of 96kN is applied on the y-axis offset 50mm from the centroid. Calculate the stress at the outer edges of the y-a
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