Beam Deflection Stress Moment Equations and Calculator Beam Supported Partial Tapering Load Applied

Beam Deflection and Stress Formula and Calculators

Area Moment of Inertia Equations & Calculators

Stress Deflection Moment Equations and Calculator Beam Supported Partial Tapering Load Applied Equation and Calculator

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Preview: Deflection, Shear, Moment Calculator

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Reaction and Shear Equation

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Bending Moments Equation

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Deflection and End Slope Equation

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Where:

E =	Modulus of Elasticity	psi	(N/mm2)
I =	Moment of Inertia	in4	(mm4)
W =	Load, Total	lbf	(N)
w =	Unit Load	lbs/in	(N/mm)
y =	Deflection	inches	(mm)
a, b, c, d, x, L =	Some distance as indicated	inches	(mm)
n =	Distance neutral axis	inches	(mm)
Vmax =	Shear Load	lbf	(N)
Mmax =	Moment	lbs-in	(N-mm)
θmax =	Slope Angle	degree	(radian)
σmax =	Stress max.	psi	(N/mm2)

• Deflections apply only to constant cross sections along entire length.

References:

• Boeing Design Manual, Rev G. 1994 BDM

Related

• Reaction and deflection formulas for in-plane loading of elastic frame with mounting ends fixed and concentrated angular displacement on the horizontal member Case 5d formulas and calculator per. Roark's Formulas for Stress and Strain, Seventh Edition, Table 8.2.
• Reaction and deflection formulas for in-plane loading of elastic frame with mounting ends fixed and concentrated lateral displacement on the horizontal member formulas and calculator . Roark's Formulas for Stress and Strain, Seventh Edition, Table 8.2 reference loading number 5e
• Reaction and deflection formulas for in-plane loading of elastic frame with mounting ends fixed and concentrated load on the left vertical member formulas and calculator . Roark's Formulas for Stress and Strain, Seventh Edition, Table 8.2 reference loading number 5f
• Reaction and deflection formulas for in-plane loading of elastic frame with mounting ends fixed and distributed load on the left vertical member formulas and calculator . Roark's Formulas for Stress and Strain, Seventh Edition, Table 8.2 reference loading number 5g
• Beam Bending Equations / Calculation Cantilevered Beam with One Load Applied at End