Beam Deflection Free and Guided on One End, Rigid one End With Uniform Load

Beam Deflection and Stress Formula and Calculators

Area Moment of Inertia Equations & Calculators

Structural Beam Deflection, Stress, Bending Equations and calculator for a Beam Free and Guided on One End, Rigid one End With Uniform Load.

Open
Beam Free and Guided on One End Stress and Deflections Calculator

---

Beam Stress at Any Point

Beam Stress at the fixed support 

---

Beam Deflection at specified point

---

Beam Deflection at the free end

---

Where:

E =	Modulus of Elasticity	psi	(N/mm2)
I =	Moment of Inertia	in4	(mm4)
W =	Load	lbs	(N)
s =	Beam Stress at the cross-section being evaluated	Lbs/in2	(N/mm2)
y =	Beam Deflection	inches	(mm)
x =	Some distance as indicated	inches	(mm)
l =	Some distance as indicated	inches	(mm)
Z =	section modulus of the cross-section of the beam = I/z	in3	(mm3)
z =	distance from neutral axis to extreme fiber (edge)	inches	(mm)

• Please note letter "l" (lower case "L") is different than "I" (Moment of Inertia).
• Deflections apply only to constant cross sections along entire length.

References:

• Any Machinery's Handbook published since 1931 or,
• Machinery's Handbook, 21st Edition, Page 410 or,
• Machinery's Handbook, 23st Edition, Page 266 or,
• Machinery's Handbook, 27st Edition, Page 267

Related

• 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
• Beam Deflection, Shear and Stress Equations and Calculator for a Beam supported One End Cantilevered with Reversed Limited Tapered Load
• Beam Supported One End, Pin Opposite End and Partial Distributed Load Deflection, Shear and Stress Equations and Calculator
• Beam Deflection and Stress Equations / Calculator Cantilevered Beam with One Load Applied at End