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Loading Uniformly Over Entire Plate Stress and Reaction Loading Equation and Calculator

Flat Rectangular Plate, Three Edges Fixed, One Edge (a) Simply Supported Loading Uniformly Over Entire Plate Stress and Reaction Loading 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 Over Entire Plate

Preview: Flat Rectangular Plate, Three Edges Fixed, One Edge Loading Uniformly Over Entire Plate Stress and Reaction Loading Calculator

Rectangular plate; Three Edges Fixed

At x = 0, z = 0
Stress and Reaction Force

Reaction Force

Stress and Reaction Force at x = 0, z = b

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


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)
σ_b = stress, (lbs/in²)
R = Reaction Force (lbs/in)
β_1,2,3 = 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
β1	0.020	0.081	0.173	0.321	0.727	1.226	2.105
β2	0.016	0.066	0.148	0.259	0.484	0.605	0.519
β3	0.031	0.126	0.286	0.511	1.073	1.568	1.982
γ1	0.114	0.230	0.341	0.457	0.673	0.845	1.012
γ2	0.125	0.248	0.371	0.510	0.859	1.212	1.627

Reference:

Roarks Formulas for Stress and Strain, 7th Edition