### 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/mm |

I = | Moment of Inertia | in^{4} |
(mm^{4)} |

W = | Load | lbs | (N) |

s = | Stress at the cross-section being evaluated | Lbs/in^{2} |
(N/mm^{2}) |

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 | in^{3} |
(mm^{3)} |

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

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