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### Flat Rectangular Plate Uniform Force Entire Plate Equations and Calculator

Flat Rectangular Uniform over entire plate plus uniform over entire plate plus uniform tension P lb=linear in applied to all edges 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 Uniform Force over entire plate Calculator

Stress Maximum (Equations for σ_{a} and σ_{b} are stresses due to bending only;):

Stress Maximum Including Direct Stress and σ_{a}

+ P/t | |

+ P/t |

Where α β_{x} and β_{y} depend on ratios a / b and P / P_{E} where:

Deflection:

Symbols used:

E = Modulus of Elasticity (N/m^{2}, lbs/^{2})

q = Applied Load or Force to Flat Area of Plate (N/m^{2}, lbs/^{2})

P = Tension or Compression to Short Edges (N/m, Lbs/in)

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/m^{2}, lbs/in^{2})

y_{max} = Maximum deflection (m, in)

α = From Table A

β_{x} = From Table A

β_{y} = From Table A

Table A (Click on Table to enlarge in Pop-up Window)

Reference:

Roarks Formulas for Stress and Strain, 7th Edition

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