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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. Find the dimension of strongest rectangular beam that can be cut out of log of 25 mm diameter. Sol .: b 2 + d 2 = 25 2 d 2 = 25 2 - b 2 As M/I = σ/y; M =
Calculate the length of plastic deformation: Calculate the length of plastic deformation along 45o in case the applied stress is 63.25% of yield stress in the plate of abov
Determine the width and depth of the beam: A timber beam of rectangular section is only supported over a span of 5 m. It carries an uniformly distributed load of 15 kN/m over
Given these sinusoids: x1(t) = 0.5cos(25t+20 o ), x2(t)=0.85cos(25t+160 o ) and x3(t)= 0.81cos(25t-145 o ) (a) Subplot the phasors X1, X2 and X3 corresponding to the thee si
helical gear
Manufacturing DATABASE system in FMS
what is the velocity and acceleration when connecting rod and crank are mutually perpendicular?
Heat distribution in spot welding Besides the resistance at the interface, there are six other resistance through which the same welding current is passed. They are: Res
Bench Vices: Bench vice is used to hold a job on a bench. It consists of a movable jaw, a fixed jaw, spindle and a lever. Figure shows a bench vice. The movable jaw is in the fron
A Spring - mass system which is subjected to a harmonic force FCoswt. calculate the response of the system, refer figure Given x (0) = 0.01 m x(0) = 0.04 m/sec w = 30 rad/
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