Beam Deflection Equations and Calculator for a Beam supported One End, Pin Opposite End and Single Moment at Defined Center Location

Beam Deflection and Stress Formula and Calculators

Area Moment of Inertia Equations & Calculators

Shear and Stress Equations and Calculator for a Beam supported One End, Pin Opposite End and Single Moment at Defined Center Location

ALL calculators require a Premium Membership

---

Beam Reaction and Shear Equation

---

Beam Bending Moments Equation

---

Beam 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 =	Beam 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 =	Beam Moment	lbs-in	(N-mm)
θmax =	Slope Angle	degree	(radian)
σmax =	Beam Stress max.	psi	(N/mm2)

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

References:

• Boeing Design Manual, Rev G. 1994 BDM

Related

• Axial Load Capacities for Single Plates Calculator
• Curved Square / Rectangular Tube Section Stress Formulas and Calculator With Moment Loading Applied
• Curved Trapezoid Section Stress Formulas and Calculator With Moment Loading Applied
• Curved Rectangular Beam Stress Formulas and Calculator Bending stresses in curved beams do not follow the same linear variation as straightbeams, because of the variation in arc length.
• Curved Circular (Cylinder) Beam Stress Formulas and Calculator
• Curved I-Beam Stress Formulas and Calculator
• Curved T-Section Stress Formulas and Calculator With Moment Loading Applied
• Beam Deflection Equations / Calculation Cantilevered Beam with One Load Applied at End