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steel plate deflection
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Posted by: steelman ®

10/30/2003, 18:13:57

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Please advise formula to use (or supply answer also) to calculate the deflection in a piece of steel plate in following dimensions: 5/8" thick x 43-5/16" x 55-1/8" of  A-36 grade mild carbon steel. A weight-bearing load would be placed on top evenly distributed covering the entire surface except for 2" around the perimeter. The plate would be supported underneath at each end for only 2". I would like to know how much weight the plate can hold before any deflection is noticeable, and how much weight it would take to cause an 1/8" deflection at center.

 







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Re: steel plate deflection
Re: steel plate deflection -- steelman Post Reply Top of thread Forum
Posted by: fvierheller ®

10/31/2003, 17:10:10

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Physical Properties Metric English Comments
Density 7.85 g/cc 0.284 lb/in³  

Mechanical Properties
Tensile Strength, Ultimate 400 - 550 MPa 58000 - 79800 psi  
Tensile Strength, Yield 250 MPa 36300 psi  
Elongation at Break 20 % 20 %  in 200 mm
Elongation at Break 23 % 23 %  In 50 mm.
Modulus of Elasticity 200 GPa 29000 ksi  
Compressive Yield Strength 152 MPa 22000 psi  Allowable compressive strength
Bulk Modulus 140 GPa 20300 ksi  Typical for steel
Poisson's Ratio 0.26 0.26  
Shear Modulus 79.3 GPa 11500 ksi  

The red areas will deform after apply 200 psi, the deformation initiates fatigue, displacement change with time.

 







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Re: steel plate deflection
Re: steel plate deflection -- steelman Post Reply Top of thread Forum
Posted by: Cragyon ®

10/30/2003, 19:46:22

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I'll try this the best that I can.

Displacment = c((pL^4/Eh^3)

Where:

E = Youngs modulus


c = Constant

(Loaded Edge)/ (upported Edge) if = .5 (c=.08)
if = .6675 (c=.106)
if = 1 (c=.14)
if = 1.5 (c=.16)
if = 2 (c=.165)
p = load

L = length of edge supported

h = plate thickness







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