Simply Supported Beam Deflection

civil-beam-deflection-simply-supported

Simply Supported Beam Deflection

civil

Beams

\delta_{max} = \frac{FL^3}{48EI}

Maximum deflection at center of simply supported beam

Point load at center; small deflection, linear elastic, prismatic beam

[
  {
    "symbol": "δₘₐₓ",
    "name": "Max Deflection",
    "unit": "m",
    "siUnit": "m",
    "imperialUnit": "in"
  },
  {
    "symbol": "F",
    "name": "Force",
    "unit": "N",
    "siUnit": "N",
    "imperialUnit": "lbf"
  },
  {
    "symbol": "L",
    "name": "Span",
    "unit": "m",
    "siUnit": "m",
    "imperialUnit": "ft"
  },
  {
    "symbol": "E",
    "name": "Elastic Modulus",
    "unit": "Pa",
    "siUnit": "Pa",
    "imperialUnit": "psi"
  },
  {
    "symbol": "I",
    "name": "Moment of Inertia",
    "unit": "m⁴",
    "siUnit": "m⁴",
    "imperialUnit": "in⁴"
  }
]

δₘₐₓ, F, L, E, I

beam, simply supported, deflection, center load

false