### Beam Stress and Beam Deflection Formula and Calculator 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 Beam Stress at any Given Point Beam Stress Between indicated supports Beam Stress at Critical Locations/Points

Stress at each support: Beam Stress at Center of Beam. Beam Stress at support next to end of length d: If l is greater than 2c, the stress is zero at points Beam Stress 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: Beam Deflection at any Point

Between supports Beam Deflection Between each support and adjacent end, Beam 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 = 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 = Distance as indicated inches (mm) L = Some distance as indicated inches (mm) l = Some distance as indicated 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 405 or,
• Machinery's Handbook, 23st Edition, Page 261 or,
• Machinery's Handbook, 27st Edition, Page 26

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