**Related Resources: calculators**

### Loading Uniformly decreasing from fixed edge to simply supported edge Stress and Deflection Equatio

Flat Rectangular Plate, Three Edges Fixed, One Edge (a) Simply Supported Loading Uniformly decreasing from fixed edge to simply supported edge Stress and Deflection 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 Load Uniformly Decreasing from Fixed Edge to Simply Supported Edge Plate

Rectangular plate;
Three Edges Fixed |
Load uniformly
decreasing
from
fixed edge to simply supported edge |

At x = 0, z = 0

Stress

Reaction Force

Stress at x = ±a/2, z = 0.4b

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} |
0.018 |
0.064 |
0.120 |
0.192 |
0.303 |
0.356 |
0.382 |

β _{2} |
0.019 |
0.068 |
0.124 |
0.161 |
0.181 |
0.168 |
0.132 |

γ _{1} |
0.106 |
0.195 |
0.265 |
0.323 |
0.383 |
0.399 |
0.400 |

γ _{2} |
0.075 |
0.152 |
0.212 |
0.245 |
0.262 |
0.258 |
0.250 |

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: