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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
Expression for the maximum shearing stress: Obtain expression for the maximum shearing stress and maximum shearing planes. Sol.: The condition for maximum shearing stress i
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Choose a wire rope for a vertical mine hoist to lift a load of 55 kN from a depth of 300 metres. A rope speed of 500 metres/min is to be attained in 10 seconds.
At a point in a beam, the bending stress is 50 MPa shear stress and tensile is 20 MPa. Calculate :- (i) The principal stress and maximum shear stress. (ii) The tensile stress
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Determine the minimum critical Euler axial compression force, Pcr and the minimum critical Euler axial compression stress, cru, for the column below which is pinned at the top and
INTRODUCTION: Safety is very important which is often neglected at our workplaces. Small precautions if carried out regularly can ensure safe, hygienic and clean environment at ou
A cart is moving along a track at a constant velocity of 5 m/s as shown. Water (? = 1000 kg/m3) issues from a nozzle at 10 m/s and is deflected through 180° by a vane on the cart.
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