Related Resources: calculators

### Load Uniformly Decreasing Equation and Calculator

Flat Rectangular Plate, Two Edges Fixed, Two Edges Free Load Uniformly Decreasing from z = 0 to z = (2/3) b Equation and Calculator.

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

Flat Rectangular plate, Two Edges Fixed, Two Edges Free Load Uniformly Decreasing from z = 0 to z = (2/3) b.

 Rectangular plate; Two Edges Fixed Two Edges Free Load Uniformly Decreasing from z = 0 to z = (2/3) b At x = 0, z = 0
Stress and Reaction Force Reaction Force Stress and Reaction Force at x = 0, z = 0.4b if a ≥ 0.375b, or Z = 0.2b if a < 0.375b Reaction Force Where used:
E = Modulus of Elasticity (lbs/in2)
q = Total load or force to Plate (lbs/in2)
v = Poisson’s ratio (assumed to be 0.3)
t = plate thickness, (in)
a = plate length, (in)
b = plate width, (in)
σb = stress, (lbs/in2)
R = Reaction Force (lbs/in)
β1,2 = Constant From Table A
γ1,2 = Constant From Table A

Table A

 a/b 0.125 0.25 0.375 0.5 0.75 1 β1 0.04 0.109 0.154 0.215 0.304 0.362 β2 0.026 0.059 0.089 0.107 0.116 0.113 γ1 0.25 0.354 0.316 0.338 0.357 0.357 γ2 0.084 0.129 0.135 0.151 0.156 0.152

Reference:

Roarks Formulas for Stress and Strain, 7th Edition 