Bending, Deflection Calculator and Stress Equations for Continuous Beam, with Two Equal Spans, 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 Continuous Beam, with Two Equal Spans, Uniform Load.

Continuous Beam Delfections, with Two Equal Spans, Uniform Load


Section Modulus Z

Z = I/c

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

General Stress at any Given Point

Open: General Stress at any Given Point Calculator


Deflection at any Point

Deflection at any Point

Open: Deflection any Given Point Calculator


Critical Deflections

Critical Deflections


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 = Deflection inches (mm)
x = Some distance as indicated inches (mm)
u = Some distance as indicated inches (mm)
a, b = 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).
  • Deflections apply only to constant cross sections along entire length.

References:

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