### Beam Deflection and Stress Equations Calculator for Beam with End Overhanging Supports and a Single Load

**Beam Deflection and Stress Formula and Calculators**

Area Moment of Inertia Equations & Calculators

Structural Beam Deflection, Stress, Bending Equations and calculator for a Beam with End Overhanging Supports and a Single Load.

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**Deflection, Stress Beam End Overhanging Supports and Single Load Calculator**

Beam Stress between load and nearest support

Beam Stress between the two supports

Beam Stress at support nearest load

Beam Deflection between load nearest (adjacent support)

Beam Deflection between supports

Beam Deflection between non-loaded end and nearest support

Beam Deflection at the load

Beam Deflection at the unloaded ends

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) |

u = | Some distance as indicated | inches | (mm) |

x = | Some distance as indicated | inches | (mm) |

c = | Some distance as indicated | inches | (mm) |

= | Some distance as indicated | inches | (mm) |

w = | Some distance as indicated | inches | (mm) |

d = | 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 407 or,
- Machinery's Handbook, 23st Edition, Page 263 or,
- Machinery's Handbook, 27st Edition, Page 264

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