Deflection Calculations | Aluminium Profiles

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

Cantilever
(Rigidly fixed one end)

d₂ =	F x L³
	48E x 1 x 10⁴

Simply Supported

d₃ =	F x L³
	192E x 1 x 10⁴

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)