force and moments transformatio

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7/23/2019 Force and Moments Transformatio http://slidepdf.com/reader/full/force-and-moments-transformatio 1/7 Right Hand Thumb Rule 1

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Page 1: Force and Moments Transformatio

7/23/2019 Force and Moments Transformatio

http://slidepdf.com/reader/full/force-and-moments-transformatio 1/7

Right Hand Thumb Rule

1

Page 2: Force and Moments Transformatio

7/23/2019 Force and Moments Transformatio

http://slidepdf.com/reader/full/force-and-moments-transformatio 2/7

Coord System and Sign Conventions

2

Page 3: Force and Moments Transformatio

7/23/2019 Force and Moments Transformatio

http://slidepdf.com/reader/full/force-and-moments-transformatio 3/7

Moments @ Node 2 due to Forces @

Node 1

3

Page 4: Force and Moments Transformatio

7/23/2019 Force and Moments Transformatio

http://slidepdf.com/reader/full/force-and-moments-transformatio 4/7

Moment about X !"is @ Node 2

4

c

b   f 

g

Node 2

dy

dz

Y

Z

Node 1

Mx

Page 5: Force and Moments Transformatio

7/23/2019 Force and Moments Transformatio

http://slidepdf.com/reader/full/force-and-moments-transformatio 5/7

Moment about # !"is @ Node 2

5

g

f    e

hX

Z

Node 1

Node 2

dx

dz

My

Page 6: Force and Moments Transformatio

7/23/2019 Force and Moments Transformatio

http://slidepdf.com/reader/full/force-and-moments-transformatio 6/7

Moment about $ !"is @ Node 2

6

b

a   e

Y

X

Node 1

Node 2

dy

dxMz

Page 7: Force and Moments Transformatio

7/23/2019 Force and Moments Transformatio

http://slidepdf.com/reader/full/force-and-moments-transformatio 7/7

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)