Find Force Needed to Lengthen Beam w/ Length, Y Modulus, Area

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To determine the force required to lengthen a beam axially, the equation δ = PL/AE can be used, where δ is the desired elongation, P is the force, L is the length, A is the cross-sectional area, and E is Young's modulus. In this case, with δ at 0.4421207 mm, E at 200,000 MPa, A at 5776 mm², and L at 701 mm, the calculated force is 728,584,640 N. Concerns about the magnitude of the force arise, prompting a check of unit conversions, specifically ensuring all measurements are in meters. The conversion from mm to m involves multiplying by 10^-3, while 200,000 MPa translates to 200,000,000,000 N/m². Accurate unit conversion is crucial for verifying calculations in engineering applications.
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If I know only the length of the beam, the young's modulus, and the cross sectional area, is there an equation that I can use to determine what amount of force would be required to lengthen a beam by a specified amount? The force is being applied to the beam axially.
 
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\delta = \frac{PL}{AE}
 
<br /> \P = \frac{deltaAE}{L}<br />

Using this with
delta=.4421207mm
E=200,000MPA
A=5776mm
L=701mm
The force is 728584640N
Doesn't this seem like too much?
 
Check your units. Convert all of the mm to m.
 
That's what I did. mm have prefix 10^-3
and Mega pascals has 10^6
 
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