Beam Deflection ad Stress Equations and Calculator for a Beam supported One End, Pin Opposite End and Single Moment at End Applied

Beam Deflection and Stress Formula and Calculators

Area Moment of Inertia Equations & Calculators

Beam Deflection, Shear and Stress Equations and Calculator for a Beam supported One End, Pin Opposite End and Single Moment at End Applied

ALL calculators require a Premium Membership

---

Beam Reaction and Shear Equation

---

Beam Deflection Moments Equation

Beam Stress Maximum

---

Beam Deflection and End Slope Equation

---

Where:

E =	Modulus of Elasticity	psi	(N/mm2)
I =	Moment of Inertia	in4	(mm4)
W =	Beam Load, Total	lbf	(N)
w =	Beam 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 =	Beam 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

• Beam Stress Deflection Calculator with Fixed Ends Moment Applied
• Beam Parabolic Deflection Equation Calculator with Variable Shape
• Beam Cubic Parabola Shape Deflection Equation Calculator with Variable Shape Fixed End Single Concentrated Force Applied
• Combined Stress Circular Cantilever Beam in Direct Compression and Bending Equations and Calculator
• Combined Stress Circular Cantilever Beam in Direct Tension and Bending Equations and Calculator
• Combined Rectangular Cantilever Beam in Direct Compression and Bending Equations and Calculator
• Combined Rectangular Cantilever Beam in Direct Tension and Bending Equations and Calculator
• Combined Loading on Circular Beam or Shaft in Direct Compression and Bending Equation and Calculator
• Combined Loading on Circular Beam or Shaft in Direct Tension and Bending Equation and Calculator
• Combined Loading on Rectangular Beam or Shaft in Direct Compression and Bending Equation and Calculator
• Beam Deflection Equations / Calculation Cantilevered Beam with One Load Applied at End