**Related Resources: calculators**

### Loading Uniformly decreasing to 1/3b Plate Equation and Calculator

Flat Rectangular Plate, Three Edges Fixed, One Edge (a) Free Loading Uniformly decreasing from fixed edge to zero at 1/3b Equation and Calculator.

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

Flat Rectangular plate, Three Edges Fixed, One Edge Loading Uniformly decreasing from fixed edge to zero at at 1/3b.

Rectangular plate;
Three Edges Fixed One Edge Free |
Loading Uniformly decreasing from fixed edge to zero at at 1/3b |

At x = 0, z = 0

Stress and Reaction Force

Reaction Force

Stress and Reaction Force at x = ± a/2, z = 0.2b

Reaction Force

Where 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})

R = Reaction Force
(lbs/in)

β_{1,2} = Constant From Table A

γ_{1,2} = Constant From Table A

Table A

a/b |
.25 |
0.50 |
0.75 |
1.0 |
1.5 |
2.0 |
3.0 |

β _{1} |
0.014 |
0.035 |
0.047 |
0.061 |
0.076 |
0.086 |
0.100 |

β _{2} |
0.010 |
0.024 |
0.031 |
0.030 |
0.025 |
0.020 |
0.014 |

γ _{1} |
0.088 |
0.130 |
0.146 |
0.156 |
0.162 |
0.165 |
0.167 |

γ _{2} |
0.046 |
0.069 |
0.079 |
0.077 |
0.073 |
0.073 |
0.079 |

Reference:

Roarks Formulas for Stress and Strain, 7th Edition

**© Copyright 2000 - 2020, by Engineers Edge, LLC www.engineersedge.com All rights reserved
Disclaimer
| Feedback | Advertising
| Contact **

Date/Time: