Deflection calculation

Dec 23, 2004 1 Replies

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



There's a big error in your moment of inertia units conversion. There are 41.63 (cm/in)^4

Dave

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