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2009+3-ForceSystemResultantsII

# 2009+3-ForceSystemResultantsII - Introduction to Solid...

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1 SJTU Introduction to Solid Mechanics -Vm211 Right-handed coordinate system 2.5 Cartesian vectors Chapter 2 Force Vectors SJTU Introduction to Solid Mechanics -Vm211 Rectangular components of a vector 2.5 Cartesian vectors Chapter 2 Force Vectors y A y A x A z A’ A x z A = A x + A y + A z SJTU Introduction to Solid Mechanics -Vm211 Cartesian unit vectors 2.5 Cartesian vectors Chapter 2 Force Vectors u A = A / A a dimensionless vector SJTU Introduction to Solid Mechanics -Vm211 2.5 Cartesian vectors Chapter 2 Force Vectors Cartesian vector representation A = A x i + A y j + A z k SJTU Introduction to Solid Mechanics -Vm211 2.5 Cartesian vectors Chapter 2 Force Vectors Magnitude of a Cartesian vector 2 2 2 z y x A A A A + + = A y A x A z A’ A x z SJTU Introduction to Solid Mechanics -Vm211 Directions of a Cartesian vector—direction cosines 2.5 Cartesian vectors Chapter 2 Force Vectors A A A A A A z y x = = = γ β α cos cos cos 1 cos cos cos 2 2 2 = + + γ β α

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