Rectangular Plate Concentrated Load at Center Equation and Calculator

 

Rectangular plate, concentrated load at center, simply supported (empirical) equation and calculator.

The load is assumed to act over a small area of radius e.

Symbols used:
a = minor length of rectangular plate, (m, in)
b = major length of rectangular plate, (m, in)
P = Concentrated load, (N, lbs) 
v = Poisson’s ratio
E = Young’s modulus, (N/m2, lbs/in2)
t = plate thickness, (m, in)
e = Radius of area with force applied
s m = maximum stress, (N/m2, lbs/in2)
ym = maximum deflection, (m, in)

 

Rectangular plate, concentrated load at center, simply supported (empirical)

Stress equation at center

Stress equation

Deflection at center

Deflection at center, v = 0.3

b/a
 
1.0
1.1
1.2
1.4
1.6
1.8
2.0
3.0
k1
0.127
0.138
0.148
0.162
0.171
0.177
0.180
0.185
0.185
k2
0.564
0.445
0.349
0.211
0.124
0.072
0.041
0.003

0.000

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