Beam Stress Deflection Equations / Calculator with Fixed Ends Tapering Loading

Beam Deflection, Stress, Strain Equations and Calculators

Area Moment of Inertia Equations & Calculators

Beam Stress Deflection Equations / Calculator with Pinned End and Simply Supported End Tapering Loading

ALL calculators require a Premium Membership

Preview Calculator

---

Reaction and Shear Equation

---

Bending Moments Equation

---

Deflection and End Slope Equation

---

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	radian	(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

• Beam Stress Deflection Equations / Calculation - Continuous Beam, with Two Equal Spans, Uniform Load
• Beam Stress Defection Simply Supported on Both Ends Under Superimposed Loading Equations
• Bearing Stress Between Angled Strut and Supporting Pin Equations and Calculator
• Deflection, Shear and Stress Equations and calculator for a Beam supported One End Cantilevered with Partial Distributed Load
• Beam Deflection, Shear and Stress Equations and calculator for a Beam supported One End Cantilevered with Tapered Load
• Beam Deflection, Shear and Stress Equations and calculator for a Beam supported One End Cantilevered with Reversed Tapered Load
• Beam Deflection, Shear and Stress Equations and Calculator for a Beam supported One End Cantilevered with Limited Tapered Load