Plate Deflection
Plate Deflection
(OP)
I'm trying to spec a plate for a gaging process that will be simply supported at both ends. What is the formula to calculate deflection in a plate with 0 loading? The loading is so small it is negligable (approximately .25 lbs evenly distributed) and the major source of deflection will be the weight of the material itself. Also, if the formula you supply has moment of inertia or section modulus in it please provide these formulas as well along with each variables definition.
Grateful EE
Grateful EE






RE: Plate Deflection
ASSUMING, a horizontal, rectangular steel plate, supported along two parallel edges that allow free rotation of the edges;
L=distance between supports
B=width of plate along supported edge
t=thickness of plate
g=unit weight of plate material (steel=0.283lb/in^3)
E=elastic modulus of material (steel=29,000,000lb/in^2)
w=uniform load on span ( =g*t*B )
I=moment of inertia ( =(1/12)*B*t^3 )
d=maximum deflection ( = (5/384)*w*L^4/(E*I) )
RE: Plate Deflection
RE: Plate Deflection
RE: Plate Deflection
You will see that a plate, i.e. an element with width much larger than the thickness and comparable size to the span is a bit more stiff in bending than an analogous "beam", due to transverse anticlastic curvature formation....
RE: Plate Deflection
It seemes everyone is working on plate theory these last few days.