### Bending, Deflection and Stress Equations Calculator for Beam Supported on Both Ends With Overhanging Supports of equal Length and Uniform Loading

**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 With Overhanging Supports of equal Length and Uniform Loading .

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**Deflection and Stress Beam For Supported on Both Ends Calculator**

Stress between nearest support point and outer end

Stress between the two supports

Stress at load center

Stress at supports

If cross-section is constant, the greater of these is the maximum stress.

If l is greater than 2c, the stress is zero at points on both sides of the center.

If cross-section is constant and if l = 2.828c, the stresses at supports and center are equal and opposite, and are:

Deflection between support point and outer end

Deflection between supports

Deflection at the ends

Deflection at center

If l is between 2c and 2.449c, there are maximum upward deflections at points

on both sides of the center, which are,

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) |

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

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

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

L = | 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 26