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Deflection calculation

Deflection calculation  
bgal
 Re: Deflection calculation  
dmartin at newarts.com
From:bgal
Subject:Deflection calculation
Date:23 Dec 2004 08:42:35 -0800
Morning,

I am running a deflection calculation to size the amount of force
needed to pre-bow a piece of rectanglur steel 2mm. I have run the
calculation two ways and am getting different results. Can someone
point me to where my error is? Thanks in advance

Here is one run

Y= P(L^3)
--------
3EI

P=7500 lbs
L(length of moment arm) = 4.8inches
E(Modulus of elasticity) = 205 Gpa = 29732737 psi
I(Moment of inertia) = .781 in^4

Deflection = 7500 * ((4.8)^3)
--------------
3 * (29732737) * (.781in^4)


Y = 829,440
-------
69663802

Y = .011 in = .254 millimeter


Here is the other run


P=7500lbs = 3401 kg
L = 4.8 in = 12.192 cm
E = 205 Gpa = 2090418 kg force/cm^2
I = .781 in^4 = 1.9 cm^4

Y = (3401)*((12.192)^3)
-------------------------
3 (2090418) (1.9)

Y = 6163558
-----------
11915382.6

Y = .51cm

Y = 5.1mm
From:dmartin at newarts.com
Subject:Re: Deflection calculation
Date:23 Dec 2004 16:17:15 -0800
There's a big error in your moment of inertia units conversion. There
are 41.63 (cm/in)^4

Dave
   

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