BEAM FORCES AND DISPLACEMENTS Spring 2009 P-1

# BEAM FORCES AND DISPLACEMENTS Spring 2009 P-1 - BEAM FORCES...

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BEAM FORCES AND DISPLACEMENTS Y A P 1 P 2 B P 3 C X A X D C X A Y B Y C Y M A 1- P 1 , P 2 , and P 3 are the applied forces 2- A X , A Y , M A , B Y , C Y and C X are the reactions 3- The applied forces and the reactions are external forces . Theorem: If a structure is in equilibrium, then, each part of the structure is in equilibrium. V D N D M D a- N D , V D , and M D are the internal resisting forces (positive direction is shown) b- N D = Normal force = the sum of all longitudinal (Axial) forces [including reactions] acting to the left or to the right of the cut. c- V D = Shear force = the sum of all transverse forces [including reactions] acting to the left or to the right of the cut. d- M D = Bending moment = the sum of moments about D of all forces [including reactions] acting to the left or to the right of the. Beam Forces & Displacements Spring 2009 1

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