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Uniform Decreasing Loading Flat Plate Stress and Deflection Equation and Calculator
Flat Rectangular Plate; all edges fixed. Uniform Decreasing Loading Parallel to Side b Stress and Deflection Equation and Calculator.
Per. Roarks Formulas for Stress and Strain for flat plates with straight boundaries and constant thickness
Rectangular Plate; all edges fixed. Uniform Decreasing Loading Parallel to Side b.
Preview: Flat Rectangular Plate all Edges Fixed. Uniform Decreasing Loading Parallel to Side b calculator
Rectangular plate;
all Edges Fixed 
Uniformly decreasing load
parallel to side b 
Stress at x = 0, z = 0
Stress at x = 0, z = 0.4b
and 
Stress at x = 0, z = b
Stress at x = ± a/2, z = 0.45b
Deflection at center:
Symbols used:
E = Modulus of Elasticity (lbs/in^{2})
q = Total load or force to Plate (lbs/in^{2})
v = Poisson’s ratio (assumed to be 0.3)
t = plate thickness, (in)
a = plate length, (in)
b = plate width, (in)
σ_{b} = stress, (lbs/in^{2})
γ_{max} = Deflection (in)
β_{1,2, 3, 4, 5} = Constant From Table A
α = Constant From Table A
Table A
a/b

0.6

0.8

1.0

1.2

1.4

1.6

1.8 
2.0

β_{1}

0.1132

0.1778

0.2365

0.2777

0.3004

0.3092

0.3100

0.3068

β_{2}

0.0410

0.0633

0.0869

0.1038

0.1128

0.1255

0.1157

0.1148

β_{3}

0.0637

0.0688

0.0762

0.0715

0.0610

0.0509

0.0415

0.0356

β_{4}

0.0206

0.0497

0.0898

0.1249

0.1482

0.1615

0.1680

0.1709

β_{5}

0.1304

0.1436

0.1686

0.1800

0.1845

0.1874

0.1902

0.1908

α

0.0016

0.0047

0.0074

0.0097

0.0113

0.0126

0.0133

0.0136

Reference:
Roarks Formulas for Stress and Strain, 7th Edition
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