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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
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For the beam shown in Figure compute the deflection at the element nodes. The modulus of elasticity is psi and the cross section is as shown in the figure. Also compute the maximum
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