### Bending, Deflection and Stress Equations Calculator for Cantilevered Beam with One Load Applied at End

**Beam Deflection and Stress Formula and Calculators**

Area Moment of Inertia Equations & Calculators

Structural Beam Deflection, Stress, Bending Equations and calculator for a Cantilevered Beam with One Load Applied at End.

**Open**

** Bending, Stress Cantilevered Beam One Load Applied at End Calculator**

Stress at specific point

Stress at the support (must be constant cross section)

Deflection at specified point

Deflection at the unsupported end

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) |

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

x = | 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 408 or,
- Machinery's Handbook, 23st Edition, Page 264 or,
- Machinery's Handbook, 27st Edition, Page 265