Deflection Calculator Cubic Parabola Shape Fixed End Single Concentrated Force Applied Beam Deflection

Beam Deflection, Stress, Strain Equations and Calculators
Area Moment of Inertia Equations & Calculators

Beam Cubic Parabola Shape Deflection Equation Calculator with Variable Shape Fixed End Single Concentrated Force Applied

• Cross Section: Rectangle: width z variable, depth y constant
• Elevation: Cubic Parabola
• Plan: Cubic Parabola

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Equations

k (Constant) = z / y

I₂ = b³ d / 30

c = b / 2

S_s = I₂ / c

b₁ = k h

Deflection at A:

f = ( 6 P / b₁ E ) ( l / h )³

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Where:

E =	Modulus of Elasticity	psi	(N/mm2)
I =	Moment of Inertia	in4	(mm4)
P =	Force	lbf	(N)
f =	Deflection	inches	(mm)
Ss=	Section Modulus	in3	(mm3)
a, b, c, d, x, l =	Some distance as indicated	inches	(mm)

References:

• Civil Engineering Formulas, Tyler G. Hicks, PE International Engineering Associates

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