### Bending, Deflection and Stress Equations Calculator for Beam Supported on Both Ends Loaded Two equal Loads

**Beam Deflection and Stress Formula and Calculators**

Area Moment of Inertia Equations & Calculators

** **Structural Beam Deflection, Stress, Bending Equations and calculator for a Beam Supported on Both Ends Loaded Two equal Loads.

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**Stress and Deflection Beam Supported Both Ends Loaded Two Equal Loads Calculator**

Stress between nearest load and support point

Stress between the two loads

Stress at each load application and all points between

Deflection between nearest load and support point

Deflection between loads

Maximum Deflection at Center

Deflection at loads

Where:

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

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

W = | Load on Beam | lbs | (N) |

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

y = | Deflection (Positive Upward Deflection, Negative Downward | inches | (mm) |

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

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

v = | 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 405 or,
- Machinery's Handbook, 23st Edition, Page 261 or,
- Machinery's Handbook, 27st Edition, Page 262

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