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Parallelogram Plate Edges Fixed Stress and Deflection Equation and Calculator

Parallelogram plate (skew slab) all edges fixed with uniform loading over entire plate Stress and Deflection Equation and Calculator.

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

Preview: Parallelogram plate uniform loading over entire plate Stress and Deflection Calculator

Parallelogram Plate
Uniform Loading
Over Entire Plate
Parallelogram Plate


Stress Along Longer Edge Toward Obtuse Angle
Stress Along Free Edge

Stress at Center of Plate
Stress at Center of Plate
Deflection at Center of Plate:
Deflection at Center of Plate

Note: θ and a/b must BOTH have values

θ
a/b
1.00
1.25
1.50
1.75
2.00
2.25
2.50
3.00
β1
0.308
0.400
0.454
0.481
0.497
-
-
-
β2
0.138
0.187
0.220
0.239
0.247
-
-
-
α
0.0135
0.0195
0.0235
0.0258
0.0273
-
-
-
15°
β1
0.320
0.412
0.483
0.531
0.553
-
-
β2
0.135
0.200
0.235
0.253
0.261
-
-
α
0.0127
0.0189
0.0232
0.0257
0.0273
-
-
30°
β1
-
0.400
0.495
0.547
0.568
0.580
-
-
β2
-
0.198
0.221
0.235
0.245
0.252
-
-
α
-
0.0168
0.0218
0.0249
0.0268
0.0281
-
-
45°
β1
-
-
0.394
0.470
0.531
0.575
0.601
-
β2
-
-
0.218
0.244
0.260
0.265
0.260
-
α
-
-
0.0165
0.0208
0.0242
0.0265
0.0284
-
60°
β1
-
-
-
-
0.310
0.450
0.538
0.613
β2
-
-
-
-
0.188
0.204
0.214
0.224
α
-
-
-
-
0.0136
0.0171
0.0198
0.0245

Where:

q = Applied load (force) (lbs/in2)
v = Poisson’s ratio (assumed to be 0.3)
β = Table data for a/b = 2.0
α = Table data for a/b = 2.0
E = Modulus of Elasticity (lb/in2)
a = Width of plate (in)
b = Height of plate (in)
σmax = stress, (lbs/in2)
ymax = Deflection (in)

Reference:

Roarks Formulas for Stress and Strain, 7th Edition

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