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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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