Stress and Deflection Beam Both Ends Overhanging Supports Symmetrically, Uniform Load

Beam Deflection and Stress Formula and Calculators

Structural Beam Deflection, Stress, Bending Equations and calculator for a Beam supported Both Ends Overhanging Supports Symmetrically, Uniform Load ALL calculators require a Premium Membership

Section Modulus Z

Z = I/z

I = Moment of inertia Cross Section : Units in4 (m4)
z = Distance neutral axis to extreme fiber: Units in (m)

General Stress at any Given Point Between indicated supports Stress at Critical Locations/Points

Stress at each support: Stress at Center of Beam. Stress at support next to end of length d: If l is greater than 2c, the stress is zero at points On both sides of the center

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

Between supports Between each support and adjacent end, Deflection at Ends Where:

 E = Modulus of Elasticity psi (N/mm2) I = Moment of Inertia in4 (mm4) 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) W = Load lbs (N) s = Stress at the cross-section being evaluated Lbs/in2 (N/mm2) y = Deflection inches (mm) x = Some distance as indicated inches (mm) u = Some distance as indicated inches (mm) c = Distance as indicated inches (mm) L = Some distance as indicated inches (mm) = Some distance as indicated 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 405 or,
• Machinery's Handbook, 23st Edition, Page 261 or,
• Machinery's Handbook, 27st Edition, Page 26  Membership Register | Login   Home Engineering Book Store Engineering Forum Excel App. Downloads Online Books & Manuals Engineering News Engineering Videos Engineering Calculators Engineering Toolbox GD&T Training Geometric Dimensioning Tolerancing DFM DFA Training Training Online Engineering Advertising Center Copyright Notice 