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(real n-dimensional space) and the objective function is a function from Rn to R. We further restrict the class of optimization problems that we consider to linear program-ming problems (or LPs). An LP is an optimization problem over Rn wherein the objective function is a linear function, that is, the objective has the form c 1x 1 +c 2x 2 ...
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Objective: To explain how a Force can be replaced by a Force and couple at another point. F F F F d dd = FORCE SYSTEMS Objective: To explain various types of Force systems which occur in Construction. y x Collinear Force System. y x z Coplanar Force System. y x z Coplanar parallel. y x Coplanar Concurrent. x y z
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ME101: Text/Reference Books I. H. Shames, Engineering Mechanics: Statics and dynamics, 4 th Ed, PHI, 2002. F. P. Beer and E. R. Johnston, Vector Mechanics for ...
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Objective Type Questions 147 Answers to Objective Type Questions 150 ˙ ˇ ˝ˇ˛ 3.0 Introduction 151 3.1 Definition of Matrix 151 3.2 Types of Matrices 152 3.3 Operations on Matrices 155 3.4 Trace of Matrix 156 3.5 Properties of Transpose 156 3.6 Properties of Conjugate Matrices 156 3.7 Singular and Non-Singular Matrices 163
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