### Bending, 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.

**Open**

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

Stress between load and nearest support

Stress between the two supports

Stress at support nearest load

Deflection between load nearest (adjacent support)

Deflection between supports

Deflection between non-loaded end and nearest support

Deflection at the load

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 = | 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