Beam Deflection and Stress Equations Calculator for Beam Supported on Both Ends With Overhanging Supports of equal Length and Uniform Loading

Beam Deflection and Stress Formula and Calculators

Area Moment of Inertia Equations & Calculators

Structural Beam Deflection, Stress, Bending Equations and calculator for a Beam Supported on Both Ends With Overhanging Supports of equal Length and Uniform Loading .

Open
Deflection and Stress Beam For Supported on Both Ends Calculator

---

Beam Stress between nearest support point and outer end 

Beam Stress between the two supports

---

Beam Stress at load center

Beam Stress at supports

If cross-section is constant, the greater of these is the maximum stress.

If l is greater than 2c, the stress is zero at points on both sides of the center.

If Beam cross-section is constant and if l = 2.828c, the stresses at supports and center are equal and opposite, and are:

---

Beam Deflection between support point and outer end

Beam Deflection between supports

---

Beam Deflection at the ends

Deflection at center

If l is between 2c and 2.449c, there are maximum upward deflections at points

on both sides of the center, which are,

---

Where:

E =	Modulus of Elasticity	psi	(N/mm2)
I =	Moment of Inertia	in4	(mm4)
W =	Beam 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)
u =	Some distance as indicated	inches	(mm)
c =	Some distance as indicated	inches	(mm)
L =	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).
• Beam 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 405 or,
• Machinery's Handbook, 23st Edition, Page 261 or,
• Machinery's Handbook, 27st Edition, Page 26

Related

• Axial Load Capacities for Single Plates Calculator
• Beam Deflection Equations / Calculator Supported on Both Ends Uniform Loading
• Beam Deflection Equations / Calculator Supported on Both Ends Single Load at Center
• Beam Deflection Equations / Calculator Supported on Both Ends Loaded at any Location
• Beam Stress Deflection Equations / Calculator - Fixed at Both Ends, Load at Center
• Beam Stress Deflection Equations / Calculator - Fixed at Both Ends, Load at any Location
• Beam Stress Deflection Equations / Calculator with Uniform Loading
• Beam Deflection Stress Deflection Equations / Continuous Beam, with Two Unequal Spans, Unequal, Uniform Loads
• Beam Stress Beam Deflection Equations / Calculator - Continuous Beam, with Two Equal Spans, Uniform Load
• Beam Stress Beam Defection Simply Supported on Both Ends Under Superimposed Loading Equations