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The Euler-Poincare Formula
The Euler-Poincaré formula describes the relationship of the number of vertices, the number of edges and the number of faces of a manifold. It has been generalized to include potholes and holes that penetrate the solid. To state the Euler-Poincaré formula, we need the following definitions :
Then, the Euler-Poincaré formula is the following :
V - E + F - (L - F) - 2 (S - G) = 0
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Kinetics of Rigid Bodies: For the bodies undergoing plane motion, a common scheme for solutions is to apply the equations of dynamic equilibrium as below. ∑ F x = m a x
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intial speed .
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Evaluate maximum shear stress: Derive equation subjected to combined bending and torsion for finding out maximum shear stress and its equivalent twisting moment.
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