PBA Leader Motion

Deflection Calculations

Aluminium Profiles & Accessories   »   Aluminium Profiles

Note: These deflection calculations can be replaced by referring to "Choosing the Correct Ultraxis Profile for your application", though results achieved graphically will be more approximate

Deflection of Profile under Static Point Loading

d1 =

F x L3

3E x 1 x 104

1

Cantilever
(Rigidly fixed one end)

d2 =

F x L3

48E x 1 x 104

2

Simply Supported

d3 =

F x L3

192E x 1 x 104

3

Rigidly Fixed Both Ends

Deflection of Profile under it's own weight (referrig to the diagram on the left)

d1 =

9.81 x P x L4

8E x 1 x 107

d2 =

5 x 9.81 x P x L4

384E x 1 x 107

d3 =

9.81 x P x L4

384E x 1 x 107

Maximum allowable bending stress (referring to the diagram on the left)

max«200N/mm2

1 =

F x L

W x 103

2 =

F x L

4W x 103

3 =

F x L

8W x 103

E

70 000N/mm (modulus of elasticity)

L

Unsupported Length (mm)

F

Load (N)

I

Moment of Inertia (cm4)

D

Deflection of Profile (mm)

W

Section Modulus (cm2

P

Mass of Profile (kg/m)