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Plate Uniformly Increasing Loading Along Length Equations and Calculator

Flat Rectangular Plate Uniformly Increasing Loading Along Length Stress and deflection Equation and Calculator.

Per. Roarks Formulas for Stress and Strain Formulas for flat plates with straight boundaries and constant thickness

Preview: Flat Rectangular Plate Stress and Deflection Increasing Loading Along Length Calculator

Flat Rectangular Plate Stress and Deflection Increasing Loading Along Length Calculator

Stress Maximum:
Stress at Center

Deflection:
Deflection

Symbols used:
E = Modulus of Elasticity (N/m2, lbs/2)
q = Applied load or force (N/m2, lbs/2)
v = Poisson’s ratio (assumed to be 0.3)
t = plate thickness, (m, in)
a = plate length, (m, in)
b = plate width, (m, in)
σ max = maximum stress, (N/m2, lbs/in2)
ymax = Maximum deflection (m, in)

Table for β & α

a/b
1.0
1.5 2.0 2.5 3.0 3.5 4.0
β
0.16 0.26 0.34 0.38 0.43 0.47 0.49
α
0.022 0.043 0.060 0.070 0.078 0.086 0.091

Reference:

Roarks Formulas for Stress and Strain, 7th Edition