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Parallelogram plate long edges free Stress and Deflection Equation and Calculator

Parallelogram plate (skew slab) shorter edges simply supported, longer edges free 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 Free Edge
Stress Along Free Edge

Deflection Along Free Edge
Deflection Along Free Edge

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

Applicable at a/b = 2.0

θ
30°
45°
60°
β1
3.05
2.20
1.78
0.91
β2
2.97
2.19
1.75
1.00
α1
2.58
1.50
1.00
0.46
α2
2.47
1.36
0.82
0.21

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