### Beam Deflection Equations and Calculator for a Beam supported One End, Pin Opposite End and One Tapered Distributed Load

**Beam Deflection and Stress Formula and Calculators**

Area Moment of Inertia Equations & Calculators

Beam Deflection, Shear and Stress Equations and Calculator for a Beam supported One End, Pin Opposite End and One Tapered Distributed Load.

ALL calculators require a *Premium Membership*

Reaction and Shear Equation

Bending Moments ** Equation **

**Stress Maximum **

**Deflection and End Slope Equation **

Where:

E = | Modulus of Elasticity | psi |
(N/mm |

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

W = | Load, Total | lbf | (N) |

w = | Unit Load | lbs/in | (N/mm) |

y = | Deflection | inches | (mm) |

a, b, c, d, x, L = | Some distance as indicated | inches | (mm) |

e = | Centroid | inches | (mm) |

n = | Distance neutral axis | inches | (mm) |

V_{max} = |
Shear Load | lbf | (N) |

M_{max} = |
Moment | lbs-in | (N-mm) |

θ_{max} = |
Slope Angle | degree | (radian) |

σ_{max} = |
Stress max. | psi | (N/mm^{2}) |

- Deflections apply only to constant cross sections along entire length.

References:

- Boeing Design Manual, Rev G. 1994 BDM