force and moments transformatio

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Right Hand Thumb Rule

1

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Coord System and Sign Conventions

2

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Moments @ Node 2 due to Forces @

Node 1

3

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Moment about X !"is @ Node 2

4

c

b   f 

g

Node 2

dy

dz

Y

Z

Node 1

Mx

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Moment about # !"is @ Node 2

5

g

f    e

hX

Z

Node 1

Node 2

dx

dz

My

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Moment about $ !"is @ Node 2

6

b

a   e

f 

Y

X

Node 1

Node 2

dy

dxMz

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Forces and Moments @ Node 2

7

Fx2 = Fx1

Fy2 = Fy1

Fz2 = Fz1

Mx2 = Mx1 + (Fy1 dz) – (Fz1 dy)

My2 = My1 – (Fx1 dz) + (Fz1 dx)

Mz2

 = Mz1

 + (Fx1

 dy) – (Fy1

 dx)