Related Resources: material science
Rectangular Plate Circular Load Equation and Calculator
Rectangular plate, circular concentrated load at center, clamped edges (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)
E = Young’s modulus, (N/m2, lbs/in2)
t = plate thickness, (m, in)
s m = maximum stress, (N/m2, lbs/in2)
ym = maximum deflection, (m, in)
Stress equation at center
Deflection at center
b/a
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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 |