Beam Bending Equations Calculator Supported on Both Ends Single Load at Center

Beam Deflection and Stress Formula and Calculators

Area Moment of Inertia Equations & Calculators

Beam Deflection and Bending Equations Calculator Supported on Both Ends Single Load at Center.

Open Calculator Supported on Both Ends Single Load at Center

---

Beam Stress between load and support points

---

Beam Stress at center of constant cross section

---

Beam Deflection between load and support points

---

Maximum Beam deflection at load

---

Where:

E =	Modulus of Elasticity	psi	(N/mm2)
I =	Moment of Inertia	in4	(mm4)
W =	Load	lbs	(N)
s =	Stress at the cross-section being evaluated	Lbs/in2	(N/mm2)
y =	Beam Deflection	inches	(mm)
x =	Some distance as indicated	inches	(mm)
=	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 "" (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 404 or,
• Machinery's Handbook, 23st Edition, Page 260 or,
• Machinery's Handbook, 27st Edition, Page 261

Related

• Beam Stress Equations / Calculation - Both Ends Overhanging Supports, Load at any Point Between
• Structural Beam Bending Stress and Deflection Equations / Calculation - Fixed at One End, Supported at the Other, Load at Center
• Beam Stress Deflection Equations / Calculator - Fixed at One End, Supported at the Other, Load at any Point
• 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 Stress Deflection Equations / Continuous Beam, with Two Unequal Spans, Unequal, Uniform Loads
• Beam Stress Deflection Calculator Equations - Continuous Beam, with Two Equal Spans, Uniform Load
• Beam Deflection Calculator Equations with Ends Overhanging Supports and a Two Equal Loads applied at Symmetrical Locations
• Beam Deflection Equations with End Overhanging Supports and a Single Load
• Beam Deflection Calculator Equations Cantilevered Beam with One Load Applied at End